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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

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  1. 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
    Content type: Research Published on:

  2. 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
    Content type: Research Published on:

  3. 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
    Content type: Research Published on:

  4. 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
    Content type: Research Published on:

  5. 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
    Content type: Research Published on:

  6. 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
    Content type: Research Published on:

  9. 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
    Content type: Research Published on:

  12. 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
    Content type: Research Published on:

  13. 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
    Content type: Research Published on:

  16. 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
    Content type: Research Published on:

  18. 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
    Content type: Research Published on:

  19. 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
    Content type: Research Published on:

  20. 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
    Content type: Research Published on:

  21. 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
    Content type: Research Published on:

  22. 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
    Content type: Research Published on:

  25. 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
    Content type: Research Published on:

  26. 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
    Content type: Research Published on:

  29. 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
    Content type: Research Published on:

  31. 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
    Content type: Research Published on:

  32. 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
    Content type: Research Published on:

  34. 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
    Content type: Research Published on:

  35. 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
    Content type: Research Published on:

  40. 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
    Content type: Research Published on:

  47. 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
    Content type: Research Published on:

  48. 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
    Content type: Research Published on:

  49. 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
    Content type: Research Published on:

  50. 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
    Content type: Research Published on: