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Article
Open AccessOn the Existence Result for System of Generalized Strong Vector Quasiequilibrium Problems
We introduce a new type of the system of generalized strong vector quasiequilibrium problems with set-valued map**s in real locally convex Hausdorff topological vector spaces. We establish an existence theor...
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Article
Open AccessStrong Convergence Theorem for Equilibrium Problems and Fixed Points of a Nonspreading Map** in Hilbert Spaces
We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of a nonspreading map** in a Hilbert space. Then, we prove a strong c...
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Article
Open AccessExistence Results for System of Variational Inequality Problems with Semimonotone Operators
We introduce the system of variational inequality problems for semimonotone operators in reflexive Banach space. Using the Kakutani-Fan-Glicksberg fixed point theorem, we obtain some existence results for syst...
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Article
Open AccessWeak Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Map**s in a Hilbert Space
We introduce an iterative sequence and prove a weak convergence theorem for finding a solution of a system of mixed equilibrium problems and the set of fixed points of a quasi-nonexpansive map** in Hilbert s...
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Article
Open AccessHybrid Methods for Equilibrium Problems and Fixed Points Problems of a Countable Family of Relatively Nonexpansive Map**s in Banach Spaces
The purpose of this paper is to introduce hybrid projection algorithms for finding a common element of the set of common fixed points of a countable family of relatively nonexpansive map**s and the set of so...
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Article
Open AccessA Viscosity Approximation Method for Finding Common Solutions of Variational Inclusions, Equilibrium Problems, and Fixed Point Problems in Hilbert Spaces
We introduce an iterative method for finding a common element of the set of common fixed points of a countable family of nonexpansive map**s, the set of solutions of a variational inclusion with set-valued m...
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Article
Open AccessAn Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
We introduce an iterative scheme for finding a common element of the solution set of a maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone oper...
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Article
Open AccessHybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Map**s in Banach Spaces
The convex feasibility problem (CFP) of finding a point in the nonempty intersection is considered, where
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Article
The characteristic of noncompact convexity and random fixed point theorem for set-valued operators
Let (Ω, Σ) be a measurable space, X a Banach space whose characteristic of noncompact convexity is less than 1, C a bounded closed convex subset of X, KC(C) the family of all compact convex subsets of C. We prove...
