In this review, we introduce a new KKM-type theorem for intersectionally closed-valued KKM map on abstract convex spaces and its direct consequences such as a Fan-Browder-type fixed point theorem and maximal e...
Authors: Sehie Park
Citation:Fixed Point Theory and Applications
2011
2011:98
In this paper, a CAT(0) version of famous Fan's minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces.
Authors: S Shabanian and SM Vaezpour
Citation:Fixed Point Theory and Applications
2011
2011:61
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Authors: Jong Kyu Kim and Truong Minh Tuyen
Citation:Fixed Point Theory and Applications
2011
2011:52
A new general iterative method for finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and...
Authors: Aunyarat Bunyawat and Suthep Suantai
Citation:Fixed Point Theory and Applications
2011
2011:47
In this paper, we consider a class of nonsmooth multiobjective programming problems. Necessary and sufficient optimality conditions are obtained under higher order strongly convexity for Lipschitz functions. W...
Authors: Kwan Deok Bae and Do Sang Kim
Citation:Fixed Point Theory and Applications
2011
2011:42
Published on: 25 August 2011
The
Erratum to this article has been published in
Fixed Point Theory and Applications
2012
2012:28
In this paper, using the setting of a generalized metric space, a unique common fixed point of four R-weakly commuting maps satisfying a generalized contractive condition is obtained. We also present example in s...
Authors: Mujahid Abbas, Safeer Hussain Khan and Talat Nazir
Citation:Fixed Point Theory and Applications
2011
2011:41
In this paper, a scalarization result of Îµ-weak efficient solution for a vector equilibrium problem (VEP) is given. Using this scalarization result, the connectedness of Îµ-weak efficient and Îµ-efficient solutions...
Authors: Bin Chen, Qing-you Liu, Zhi-bin Liu and Nan-jing Huang
Citation:Fixed Point Theory and Applications
2011
2011:36
In this paper, the existing theorems and methods for finding solutions of systems of general nonlinear set-valued mixed variational inequalities problems in Hilbert spaces are studied. To overcome the difficul...
Authors: Ravi P Agarwal, Yeol JE Cho and Narin Petrot
Citation:Fixed Point Theory and Applications
2011
2011:31
We prove a common fixed point theorem for four mappings defined on an ordered metric space and apply it to find new common fixed point results. The existence of common fixed points is established for two or th...
Authors: Mujahid Abbas, Mohamed Amine Khamsi and Abdul Rahim Khan
Citation:Fixed Point Theory and Applications
2011
2011:25
Let H be a Hilbert space, C be a closed convex subset of H such that C Â± C âŠ‚ C, and T : C â†’ H be a k-strictly pseudo-contractive mapping with F(T) â‰ âˆ… for some 0 â‰¤ k < 1. Let F : C â†’ C be a Îº-Lipschitzian and Î·-s...
Authors: Jong Soo Jung
Citation:Fixed Point Theory and Applications
2011
2011:24
The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of sol...
Authors: Lu-Chuan Ceng, Qamrul Hasan Ansari, Ngai-Ching Wong and Jen-Chih Yao
Citation:Fixed Point Theory and Applications
2011
2011:22
Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K â†’ K is a single-valued quasi-nonexpansive mapping and T
Authors: Worawut Laowang and Bancha Panyanak
Citation:Fixed Point Theory and Applications
2011
2011:20
In this article, we introduce some new iterative schemes based on the extragradient method (and the hybrid method) for finding a common element of the set of solutions of a generalized equilibrium problem, and...
Authors: Jian-Wen Peng
Citation:Fixed Point Theory and Applications
2011
2011:12
We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-Ï•-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence t...
Authors: Jong Kyu Kim
Citation:Fixed Point Theory and Applications
2011
2011:10
In this article, we introduce a new hybrid projection iterative scheme based on the shrinking projection method for finding a common element of the set of solutions of the generalized mixed equilibrium problem...
Authors: Siwaporn Saewan and Poom Kumam
Citation:Fixed Point Theory and Applications
2011
2011:9
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by us...
Authors: Prasit Cholamjiak, Yeol Je Cho and Suthep Suantai
Citation:Fixed Point Theory and Applications
2011
2011:7
A multiobjective fractional optimization problem (MFP), which consists of more than two fractional objective functions with convex numerator functions and convex denominator functions, finitely many convex con...
Authors: Moon Hee Kim, Gwi Soo Kim and Gue Myung Lee
Citation:Fixed Point Theory and Applications
2011
2011:6
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete m...
Authors: Hemant Kumar Nashine, Bessem Samet and Jong Kyu Kim
Citation:Fixed Point Theory and Applications
2011
2011:5
We obtain versions of the Boyd and Wong fixed point theorem and of the Matkowski fixed point theorem for multivalued maps and w-distances on complete quasi-metric spaces. Our results generalize, in several direct...
Authors: Josefa MarÃn, Salvador Romaguera and Pedro Tirado
Citation:Fixed Point Theory and Applications
2011
2011:2
We introduce a new implicit iteration method for finding a solution for a variational inequality involving Lipschitz continuous and strongly monotone mapping over the set of common fixed points for a finite fa...
Authors: Nguyen Buong and NguyenThi Quynh Anh
Citation:Fixed Point Theory and Applications
2011
2011:276859
We introduce an iterative algorithm for finding a common element of the set of fixed points of strict pseudocontractions mapping, the set of common solutions of a system of two mixed equilibrium problems and t...
Authors: Poom Kumam and Chaichana Jaiboon
Citation:Fixed Point Theory and Applications
2011
2011:347204
Fixed point results with the concept of generalized weakly contractive conditions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature.
Authors: HemantKumar Nashine and Ishak Altun
Citation:Fixed Point Theory and Applications
2011
2011:132367
The purpose of this paper is to introduce and study the strong convergence problem of the explicit iteration process for a Lipschitzian and demicontraction semigroups in arbitrary Banach spaces. The main resul...
Authors: Shih-sen Chang, YeolJe Cho, HWJoseph Lee and ChiKin Chan
Citation:Fixed Point Theory and Applications
2011
2011:583423
An iterative process is considered for finding a common element in the fixed point set of a strict pseudocontraction and in the zero set of a nonlinear mapping which is the sum of a maximal monotone operator a...
Authors: Li Yu and Ma Liang
Citation:Fixed Point Theory and Applications
2011
2011:368137
The modified Ishikawa iterative process is investigated for the class of total asymptotically pseudocontractive mappings. A weak convergence theorem of fixed points is established in the framework of Hilbert s...
Authors: Xiaolong Qin, SunYoung Cho and ShinMin Kang
Citation:Fixed Point Theory and Applications
2011
2011:859795
We prove a strong convergence theorem for an infinite family of asymptotically strict pseudo-contractions and an infinite family of equilibrium problems in a Hilbert space. Our proof is simple and different fr...
Authors: Shenghua Wang, ShinMin Kang and YoungChel Kwun
Citation:Fixed Point Theory and Applications
2011
2011:859032
We propose a hybrid extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-po...
Authors: Lu-Chuan Ceng, Sy-Ming Guu and Jen-Chih Yao
Citation:Fixed Point Theory and Applications
2010
2011:626159