Thematic Series in the Honor of Professor Shih-Sen Chang’s(张石生) 80th birthday and his significant contributions to Nonlinear Analysis and its Applications

An algorithm with strong convergence for the split common fixed point problem of total asymptotically strict pseudocontraction mappings

The purpose of this paper is to propose an algorithm to solve the split common fixed point problems for total asymptotically strict pseudocontraction mappings in Hilbert spaces. Without the assumption of semi-...

Authors: Zhaoli Ma and Lin Wang

Best proximity point theorems with Suzuki distances

In this paper, we define the weak P-property and the α-ψ-proximal contraction by p in which p is a τ-distance on a metric space. Then, we prove some best proximity point theorems in a complete metric space X with...

Authors: Mehdi Omidvari, Seiyed Mansour Vaezpour, Reza Saadati and Sung Jin Lee

Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces

In this paper, we introduce a general iterative method for a split variational inclusion and nonexpansive semigroups in Hilbert spaces. We also prove that the sequences generated by the proposed algorithm conv...

Authors: Dao-Jun Wen and Yi-An Chen

The strong convergence theorems for split common fixed point problem ofasymptotically nonexpansive mappings in Hilbert spaces

In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces. Theiterative algorithm presented in this paper is sh...

Authors: Xin-Fang Zhang, Lin Wang, Zhao Li Ma and Li Juan Qin

On ϵ-solutions for robust fractional optimization problems

We consider ϵ-solutions (approximate solutions) for a fractional optimization problem in the face of data uncertainty. Using robust optimization approach (worst-case approach), we establish optimality theorems an...

Authors: Jae Hyoung Lee and Gue Myung Lee

A fixed point theorem for nonautonomous type superposition operators and integrable solutions of a general nonlinear functional integral equation

We first establish a new fixed point theorem for nonautonomous type superposition operators. After that, we prove the existence of integrable solutions for a general nonlinear functional integral equation in an

Authors: Fuli Wang

An algorithm with general errors for the zero point of monotone mappings in Banach spaces

In this paper, we introduce a proximal point iterative algorithm with general errors for monotone mappings in Banach spaces. We prove that the proposed algorithm converges strongly to a proximal point for mono...

Authors: Yan Tang, Zhiqing Bao and Daojun Wen

Convergence theorems of convex combination methods for treating d-accretive mappings in a Banach space and nonlinear equation

m-d-Accretive mappings, which are totally different from m-accretive mappings in non-Hilbertian Banach spaces, belong to another type of nonlinear mappings with practical backgrounds. The purpose of this paper is...

Authors: Li Wei, Yuanxing Liu and Ravi P Agarwal

Convergence results of multi-valued nonexpansive mappings in Banach spaces

Authors: Huimin He, Sanyang Liu and Rudong Chen

Common fixed point results under a new contractive condition without using continuity

Authors: Feng Gu, Yunjuan Shen and Lin Wang

Approximation methods for solutions of generalized multi-valued mixed quasi-variational inclusion systems

Authors: Heng-you Lan, Fang Li, Afrah AN Abdou and YJ Cho

Generalization of Mizoguchi-Takahashi type contraction and related fixed point theorems

In this paper, we introduce a new notion to generalize a Mizoguchi-Takahashi type contraction. Then, using this notion, we obtain a fixed point theorem for multivalued maps. Our results generalize some results...

Authors: Quanita Kiran, Muhammad Usman Ali and Tayyab Kamran

Adaptively relaxed algorithms for solving the split feasibility problem with a new step size

In the present paper, we propose several kinds of adaptively relaxed iterative algorithms with a new step size for solving the split feasibility problem in real Hilbert spaces. The proposed algorithms never te...

Authors: Haiyun Zhou and Peiyuan Wang

Existence theorems of generalized quasi-variational-like inequalities for pseudo-monotone type II operators

In this paper, we prove the existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for pseudo-monotone type II operators defined on compact sets in locally co...

Authors: Mohammad SR Chowdhury, Afrah AN Abdou and Yeol Je Cho

Convergence rates in regularization for a system of nonlinear ill-posed equations with m-accretive operators

In this paper, we study an operator version of the modified Browder-Tikhonov regularization method for finding a common solution for a system of ill-posed operator equations involving m-accretive operators

Authors: Jong Kyu Kim and Nguyen Buong

Convergence theorems on total asymptotically demicontractive and hemicontractive mappings in CAT(0) spaces

The purpose of this paper is to introduce the concepts of total asymptotically demicontractive mappings and total asymptotically hemicontractive mappings. Under suitable conditions some strong convergence theorem...

Authors: Xin-dong Liu and Shih-sen Chang

Preconditioning methods for solving a general split feasibility problem

We introduce and study a new general split feasibility problem (GSFP) in a Hilbert space. This problem generalizes the split feasibility problem (SFP). The GSFP extends the SFP with a nonlinear continuous oper...

Authors: Peiyuan Wang, Haiyun Zhou and Yu Zhou

On the Hölder continuity of solution maps to parametric generalized vector quasi-equilibrium problems via nonlinear scalarization

In this paper, by using a nonlinear scalarization technique, we obtain sufficient conditions for Hölder continuity of the solution mapping for a parametric generalized vector quasi-equilibrium problem with set...

Authors: Rabian Wangkeeree and Pakkapon Preechasilp

α-ψ-Geraghty contractions on generalized metric spaces

In this work, we introduce the class of α-ψ-Geraghty contraction as well as generalized α-ψ-Geraghty contraction mappings in the context of generalized metric spaces where ψ is an auxiliary function which does no...

Authors: Mehdi Asadi, Erdal Karapınar and Anil Kumar

Generalized Ulam-Hyers stability and well-posedness for fixed point equation via α-admissibility

In this paper, we extend the concept of contraction mappings in b-metric spaces and utilize this concept to prove the existence and uniqueness of fixed point theorems for such mappings in such a space. We also pr...

Authors: Supak Phiangsungnoen and Poom Kumam

Strong convergence results of two-steps modifying Halpern’s iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application

In this paper, a two-steps modifying Halpern iteration for Bregman strongly nonexpansive multi-valued mappings in the framework of reflexive Banach spaces is established. Under suitable limit conditions, some ...

Authors: Hongbo Liu and Yi Li

Second-order composed contingent epiderivatives and set-valued vector equilibrium problems

In this paper, we introduce the concept of a second-order composed contingent epiderivative for set-valued maps and discuss some of its properties. Then, by virtue of the second-order composed contingent epide...

Authors: Qilin Wang, Zhi Lin, Jing Zeng, Zaiyun Peng and Xiaobing Li

New general systems of set-valued variational inclusions involving relative $(A,\eta )$-maximal monotone operators in Hilbert spaces

Authors: Ting-jian Xiong and Heng-you Lan

An explicit algorithm for solving the optimize hierarchical problems

In this paper, we consider the variational inequality problem over the generalized mixed equilibrium problem which has a hierarchical structure. Strong convergence of the algorithm to the unique solution is gu...

Authors: Poom Kumam, Thanyarat Jitpeera and Wararat Yarangkham

Common fixed points for a pair of mappings satisfying contractive conditions of integral type

Four common fixed point theorems for a pair of weakly compatible mappings satisfying contractive conditions of integral type in metric spaces are proved. The existence result of bounded solutions for a system ...

Authors: Zeqing Liu, Xiaochen Zou, Shin Min Kang and Jeong Sheok Ume

Mean ergodic theorem for semigroups of linear operators in multi-Banach spaces

In this paper, by using Rodé’s method, we extend Yosida’s theorem to semigroups of linear operators in multi-Banach spaces.

Authors: Hassan Morghi Kenari, Reza Saadati, Mahdi Azhini and Yeol Je Cho

On the p th moment estimates for the solution of stochastic differential equations

Authors: Young-Ho Kim

Existence and multiplicity of periodic solutions for some second-order Hamiltonian systems

Authors: Hongmin Suo, Lan Di, Yucheng An and Changmu Chu

The existence of equilibria for the rank game

In this paper, we introduce the concept of the rank game and propose a mathematical model for it. By a discrete fixed point theorem, we give the existence results of rank equilibria.

Authors: Zhi Lin

Superstability of the functional equation with a cocycle related to distance measures

Authors: Young Whan Lee and Gwang Hui Kim

Parallel LQP alternating direction method for solving variational inequality problems with separable structure

In this paper, we propose a logarithmic-quadratic proximal alternating direction method for structured variational inequalities. The predictor is obtained by solving series of related systems of nonlinear equa...

Authors: Abdellah Bnouhachem and Abdelouahed Hamdi

Algorithms with variant anchors for pseudocontractive mappings

The purpose of this paper is to find the fixed points of pseudocontractive mappings by using the iterative technique. Two algorithms with variant anchors have been introduced. Strong convergence results are gi...

Authors: Lijin Guo, Shin Min Kang and Chahn Yong Jung

Convergence theorems for continuous pseudocontractive mappings in Banach spaces

In this paper, we prove some strong and weak convergence theorems for continuous pseudocontractive mapping and a weak convergence theorem for nonexpansive mapping in real uniformly convex Banach spaces. As an ...

Authors: Weiping Guo, Min Seok Choi and Yeol Je Cho

A hybrid iteration for asymptotically strictly pseudocontractive mappings

In this paper, we propose a new hybrid iteration for a finite family of asymptotically strictly pseudocontractive mappings. We also prove that such a sequence converges strongly to a common fixed point of a fi...

Authors: Rajshree Dewangan, Balwant Singh Thakur and Mihai Postolache

Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces

This paper is concerned with a new method to prove the weak convergence of a strictly pseudo-contractive mapping in a p-uniformly convex Banach space with more relaxed restrictions on the parameters. Our results ...

Authors: Yu Zhou, Haiyun Zhou and Peiyuan Wang

Convergence of modified S-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in $CAT(0)$ spaces

Authors: Poom Kumam, Gurucharan S Saluja and Hemant K Nashine

Solution sensitivity of generalized nonlinear parametric $(A,\eta ,m)$-proximal operator system of equations in Hilbert spaces

Authors: Jong Kyu Kim, Heng-you Lan and Yeol Je Cho

Fixed point results for $\{\alpha ,\xi \}$-expansive locally contractive mappings

Authors: Jamshaid Ahmad, Ahmed Saleh Al-Rawashdeh and Akbar Azam

Large-update interior point algorithm for $P_{\ast }$-linear complementarity problem

It is well known that each barrier function defines an interior point algorithm and each barrier function is determined by its univariate kernel function. In this paper we present a new large-update primal-dua...

Authors: Gyeong-Mi Cho

Best proximity point theorems for α-ψ-proximal contractions in intuitionistic fuzzy metric spaces

The aim of this paper is to introduce and study certain new concepts of α-ψ-proximal contractions in an intuitionistic fuzzy metric space. Then we establish certain best proximity point theorems for such proximal...

Authors: Abdul Latif, Masoomeh Hezarjaribi, Peyman Salimi and Nawab Hussain

Some new results on cyclic relatively nonexpansive mappings in convex metric spaces

In this article, we prove a best proximity point theorem for generalized cyclic contractions in convex metric spaces. Then we investigate the structure of minimal sets of cyclic relatively nonexpansive mapping...

Authors: Moosa Gabeleh and Naseer Shahzad

Iterative algorithms for finding the zeroes of sums of operators

Authors: Luo Yi Shi, Rudong Chen and Yujing Wu

Generalized fixed point theorems for multi-valued α-ψ-contractive mappings

The aim of this paper is to establish certain new fixed point results for multi-valued as well as single-valued maps satisfying an α-ψ-contractive conditions in complete metric space. As an application, we derive...

Authors: Nawab Hussain, Jamshaid Ahmad and Akbar Azam

Nonlinear contractive and nonlinear compatible type mappings in Menger probabilistic metric spaces

In this paper some new fixed point theorems for nonlinear contractive type and nonlinear compatible type mapping in complete Menger probabilistic metric spaces are proved.

Authors: Yong Kun Tang, Shih-sen Chang and Lin Wang

Fixed point results via α-admissible mappings and cyclic contractive mappings in partial b-metric spaces

Considering α-admissible mappings in the setup of partial b-metric spaces, we establish some fixed and common fixed point results for ordered cyclic weakly ...

Authors: Abdul Latif, Jamal Rezaei Roshan, Vahid Parvaneh and Nawab Hussain

Proper efficiency and duality for a new class of nonconvex multitime multiobjective variational problems

In this paper, a new class of generalized of nonconvex multitime multiobjective variational problems is considered. We prove the sufficient optimality conditions for efficiency and proper efficiency in the con...

Authors: Ariana Pitea and Tadeusz Antczak

On total asymptotically nonexpansive mappings in $CAT(\kappa )$ spaces

In this article, we obtain the demiclosed principle, fixed point theorems and convergence theorems for the class of total asymptotically nonexpansive mappings on ...

Authors: Bancha Panyanak

Constructed nets with perturbations for equilibrium and fixed point problems

In this paper, an implicit net with perturbations for solving the mixed equilibrium problems and fixed point problems has been constructed and it is shown that the proposed net converges strongly to a common s...

Authors: Yonghong Yao, Yeol Je Cho, Yeong-Cheng Liou and Ravi P Agarwal

A note on solution lower semicontinuity for parametric generalized vector equilibrium problems

By using a density technique, sufficient conditions for lower semicontinuity of strong solutions to a parametric generalized vector equilibrium problem are established, where the monotonicity is not necessary....

Authors: Zai Yun Peng, Zhi Lin, Kai Zhi Yu and Da Cheng Wang

The well-posedness for a system of generalized quasi-variational inclusion problems

We introduce the concept of Levitin-Polyak well-posedness for a system of generalized quasi-variational inclusion problems and show some characterizations of Levitin-Polyak well-posedness for the system of gen...

Authors: Xiao-bo Li, Ravi P Agarwal, Yeol Je Cho and Nan-jing Huang