We introduced a new iterative scheme for finding a common element in the set of common fixed points of a finite family of quasi-ϕ-nonexpansive mappings, the set of common solutions of a finite family of equilibri...
Authors: Shenghua Wang and Caili Zhou
Citation:Fixed Point Theory and Applications
2011
2011:372975
The purpose of this paper is to consider a shrinking projection method for finding the common element of the set of common fixed points for nonexpansive semigroups, the set of common fixed points for an infini...
Authors: Thanyarat Jitpeera and Poom Kumam
Citation:Fixed Point Theory and Applications
2011
2011:217407
We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued mappings in real locally convex Hausdorff topological vector spaces. We establish an existence theor...
Authors: Somyot Plubtieng and Kanokwan Sitthithakerngkiet
Citation:Fixed Point Theory and Applications
2011
2011:475121
Strong convergence theorems are established for the modified Halpern iterations of nonexpansive mappings in CAT(0) spaces. Our results extend and improve the recent ones announced by Kim and Xu (2005), Hu (200...
Authors: A Cuntavepanit and B Panyanak
Citation:Fixed Point Theory and Applications
2011
2011:869458
We consider a new iterative algorithm for finding a common element of the set of generalized mixed equilibrium problems, the set of solutions of a system of quasivariational inclusions for two difference inver...
Authors: Nawitcha Onjai-uea and Poom Kumam
Citation:Fixed Point Theory and Applications
2011
2011:601910
We introduce a new iterative algorithm for a system of generalized equilibrium problems and a countable family of strict pseudocontractions in Hilbert spaces. We then prove that the sequence generated by the p...
Authors: Prasit Cholamjiak and Suthep Suantai
Citation:Fixed Point Theory and Applications
2011
2011:941090
We establish strong convergence of an implicit algorithm to a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive maps in CAT
...
Authors: Hafiz Fukhar-ud-din, AbdulAziz Domlo and AbdulRahim Khan
Citation:Fixed Point Theory and Applications
2010
2011:173621
We study variational-like inclusions involving infinite family of set-valued mappings and their equivalence with resolvent equations. It is established that variational-like inclusions in real Banach spaces ar...
Authors: Rais Ahmad and Mohd Dilshad
Citation:Fixed Point Theory and Applications
2010
2011:635030
Approximate optimality conditions for a class of nonconvex semi-infinite programs involving support functions are given. The objective function and the constraint functions are locally Lipschitz functions on
Authors: DoSang Kim and TaQuang Son
Citation:Fixed Point Theory and Applications
2010
2011:175327
This paper is devoted to the strong convergence of two kinds of general viscosity iteration processes for approximating common fixed points of a nonexpansive semigroup in Hilbert spaces. The results presented ...
Authors: Xue-song Li, Nan-jing Huang and JongKyu Kim
Citation:Fixed Point Theory and Applications
2010
2011:783502
A major puzzle in neural networks is understanding the information encoding principles that implement the functions of the brain systems. Population coding in neurons and plastic changes in synapses are two im...
Authors: Mau-Hsiang Shih and Feng-Sheng Tsai
Citation:Fixed Point Theory and Applications
2010
2011:615274
The purpose of this paper is to prove the strong convergence theorem for finding a common element of the set of fixed point problems of strictly pseudocontractive mapping in Hilbert spaces and two sets of gene...
Authors: Atid Kangtunyakarn
Citation:Fixed Point Theory and Applications
2010
2011:274820
The hybrid steepest-descent method introduced by Yamada (2001) is an algorithmic solution to the variational inequality problem over the fixed point set of nonlinear mapping and applicable to a broad range of ...
Authors: D. R. Sahu, N. C. Wong and J. C. Yao
Citation:Fixed Point Theory and Applications
2010
2011:754702
By using the projection methods, we suggest and analyze the iterative schemes for finding the approximation solvability of a system of general variational inequalities involving different nonlinear operators i...
Authors: Issara Inchan and Narin Petrot
Citation:Fixed Point Theory and Applications
2010
2011:689478
We apply the variational characterization of the metric projection to prove some results about the solvability of general variational inequalities and the existence of maximum and minimum solutions to some gen...
Authors: Jinlu Li and Jen-Chih Yao
Citation:Fixed Point Theory and Applications
2010
2011:904320
We introduce an iterative algorithm for finding a common element of the set of solutions of an infinite family of equilibrium problems and the set of fixed points of a finite family of nonexpansive mappings in...
Authors: Shenghua Wang and Baohua Guo
Citation:Fixed Point Theory and Applications
2010
2011:392741
We study the weak solutions and strong solutions of set equilibrium problems in real Hausdorff topological vector space settings. Several new results of existence for the weak solutions and strong solutions of...
Authors: Yen-Cherng Lin and Hsin-Jung Chen
Citation:Fixed Point Theory and Applications
2010
2011:945413