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
Prof Yeol Je Cho, Prof Nan-jing Huang, Prof Jong Kyu Kim, Prof George Yuan
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
Citation:Journal of Inequalities and Applications
2015
2015:40
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
Citation:Journal of Inequalities and Applications
2015
2015:27
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
Citation:Journal of Inequalities and Applications
2015
2015:24
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
Citation:Journal of Inequalities and Applications
2015
2015:1
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
Citation:Journal of Inequalities and Applications
2014
2014:501
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
Citation:Journal of Inequalities and Applications
2014
2014:487
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
Citation:Journal of Inequalities and Applications
2014
2014:484
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
Citation:Journal of Inequalities and Applications
2014
2014:482
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
Citation:Journal of Inequalities and Applications
2014
2014:458
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
Citation:Journal of Inequalities and Applications
2014
2014:448
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
Citation:Journal of Inequalities and Applications
2014
2014:449
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
Citation:Journal of Inequalities and Applications
2014
2014:440
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
Citation:Journal of Inequalities and Applications
2014
2014:436
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
Citation:Journal of Inequalities and Applications
2014
2014:435
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
Citation:Journal of Inequalities and Applications
2014
2014:425
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
Citation:Journal of Inequalities and Applications
2014
2014:423
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
Citation:Journal of Inequalities and Applications
2014
2014:418
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
Citation:Journal of Inequalities and Applications
2014
2014:412
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
Citation:Journal of Inequalities and Applications
2014
2014:406
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
Citation:Journal of Inequalities and Applications
2014
2014:405
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
Citation:Journal of Inequalities and Applications
2014
2014:394
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
Citation:Journal of Inequalities and Applications
2014
2014:416
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
Citation:Journal of Inequalities and Applications
2014
2014:392
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
Citation:Journal of Inequalities and Applications
2014
2014:386
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
Citation:Journal of Inequalities and Applications
2014
2014:384
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
Citation:Journal of Inequalities and Applications
2014
2014:374
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
Citation:Journal of Inequalities and Applications
2014
2014:377
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
Citation:Journal of Inequalities and Applications
2014
2014:363
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
Citation:Journal of Inequalities and Applications
2014
2014:352
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
Citation:Journal of Inequalities and Applications
2014
2014:350
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
Citation:Journal of Inequalities and Applications
2014
2014:348
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
Citation:Journal of Inequalities and Applications
2014
2014:347
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
Citation:Journal of Inequalities and Applications
2014
2014:345
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
Citation:Journal of Inequalities and Applications
2014
2014:333
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
Citation:Journal of Inequalities and Applications
2014
2014:336
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
Citation:Journal of Inequalities and Applications
2014
2014:334
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
Citation:Journal of Inequalities and Applications
2014
2014:325
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
Citation:Journal of Inequalities and Applications
2014
2014:321