[PDF] Top 20 Mixed quasi invex equilibrium problems

... of equilibrium problems, known as mixed quasi invex equilibrium (or equilibrium-like) ...of invex equilibrium problems includes equilib- rium ... See full document

... In this section, we will prove a strong convergence theorem for finding a common element of the set of solutions for the generalized mixed equilibrium problem 1.1 and the set of common fixed points for a ... See full document

... We note that the block iterative method is a method which often used by many authors to solve the convex feasibility problem (see, [37,38], etc.). In 2008, Plubtieng and Ungchittrakool [39] established strong convergence ... See full document

... vector quasi-equilibrium problem (for short, AGVQEP) in noncompact Hadamard ...vector quasi-equilibrium prob- lem (for short, AVQEP), a generalized scalar equilibrium problem (for ... See full document

... auxiliary problems for the MEP(f , ϕ, C) when the bifunction f is relaxed ξ -monotone by using the well-known KKM ...of quasi-φ-asymptotically nonex- pansive multivalued ...of mixed ... See full document

... multi-valued mixed quasi-equilibrium- like problems and a perturbed system of auxiliary generalized multi-valued mixed quasi- equilibrium-like problems are ... See full document

... The equilibrium problem has been considered as an important and general framework for describing various problems arising in different areas of mathematics, including op- timization problems, ... See full document

... of mixed equilibrium problems with a relaxed η-α-monotone mapping and a nonlin- ear operator equation involving an infinite family of asymptotically quasi-φ-nonexpansive mappings in the ... See full document

... always occurring in the iterative processes because the manipulations are inaccurate. Using the ideas in [], Chuang et al. [] introduced the following iteration process for finding a common element of the set of ... See full document

... In 2007, Tada and Takahashi [5, 6] and Takahashi and Takahashi [7] proved weak and strong convergence theorems for finding a common element of the set of an equilibrium problem and the set of fixed points of a ... See full document

... quasi- φ -asymptotically nonexpansive mappings, and a strong convergence theorem for solving generalized mixed equilibrium problems is established in the framework of Banach spaces. Since ... See full document

... generalized mixed equilibrium problems, the set of fixed points of a finite family of quasi-nonexpansive mappings, and the set of solutions of variational inclusion ... See full document

... Remark . For the generalized mixed equilibrium problem (.), if the nonlinear opera- tor A is a monotone, Lipschitz continuous mapping, ϕ is a convex and lower semicontin- uous function, and the real ... See full document

... Corollary . Let C be a nonempty, closed and convex subset of a real Hilbert space H. Let F be a bifunction from C × C to R which satisfies (A)-(A) and A : C → H be a κ - inverse-strongly monotone mapping. Let S : C → ... See full document

... Throughout this article, unless otherwise specified, we use the following notations. Let X be a nonempty closed subset of a metric space (E, d); Y be a Huasdorff topological vector space; and Λ and P be two nonempty ... See full document

... In this paper, we study generalized strong vector quasi-equilibrium problems in topological vector spaces. Using the generalization of Fan-Browder fixed point theorem, we provide existence theorems ... See full document

... inclusion problems have been extended and generalized to study a large variety of problems arising in image recovery, economics, and signal pro- cessing; for more details, see ...inclusion problems ... See full document

... theory, problems arise in infinite-dimensional spaces. In such problems, strong convergence (norm convergence) is often much more desirable than weak convergence, for it translates the physically tangible ... See full document

... [], problems arise in infinite dimensional spaces. In such problems, strong convergence is often much more desirable than weak convergence, for it translates the physically tangible ... See full document

... inequality problems, inclusion problems, saddle point problems, complemen- tarity problem, minimization problem, and Nash equilibrium ...problem. Equilibrium prob- lem has emerged as an ... See full document