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

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