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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...
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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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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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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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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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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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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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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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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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Open AccessExistence Result of Generalized Vector Quasiequilibrium Problems in Locally -Convex Spaces
This paper deals with the generalized strong vector quasiequilibrium problems without convexity in locally -convex spaces. Using the Kak...
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Viscosity approximation methods for monotone map**s and a countable family of nonexpansive map**s
We use viscosity approximation methods to obtain strong convergence to common fixed points of monotone map**s and a countable family of nonexpansive map**s. Let C be a nonempty closed convex subset of a Hilbe...
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A viscosity approximation method for finding a common solution of fixed points and equilibrium problems in Hilbert spaces
In this paper, we introduce an iterative method for finding a common element of the set of fixed points of a nonexpansive map** and the set of common fixed points of a countable family of nonexpansive mappin...
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Open AccessOn the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive map**s in Banach spaces
In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous map** and an asymptotically nonexpansive map** in Banach spaces. O...
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Open AccessExistence of solutions of a new system of generalized variational inequalities in Banach spaces
In this article, we consider the solutions of the system of generalized variational inequality problems in Banach spaces. By employing the generalized projection operator, the well-known Fan's KKM theorem and ...
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Open AccessVectorial form of Ekeland-type variational principle
In this paper, we deal with a vectorial form of Ekeland-type variational principle for multivalued bioperator whose domain is a complete metric space and its range is a subset of a locally convex Hausdorff top...
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Open AccessGeneralizations of the strong Ekeland variational principle with a generalized distance in complete metric spaces
In this paper, we prove a generalization of the strong Ekeland variational principle for a generalized distance (i.e., u-distance) on complete metric spaces. The result present in this paper extends and improves ...
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Open AccessViscosity approximation to a common solution of variational inequality problems and fixed point problems for Lipschitzian semigroup in Banach spaces
We introduce a new iterative algorithm based on a viscosity approximation method for finding the common solution of variational inequality problems for an inverse strongly accretive operator and the solution o...
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Open AccessRandom fixed point theorem of Krasnoselskii type for the sum of two operators
In this paper, we prove some random fixed point theorem for the sum of a weakly-strongly continuous random operator and a nonexpansive random operator in Banach spaces. Our results are the random versions of s...
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Open AccessFixed point result and applications on a b-metric space endowed with an arbitrary binary relation
In this paper, we introduce the concept of q-set-valued α-quasi-contraction map** and establish the existence of a fixed point theorem for this map** in b-metric spaces. Our results are generalizations and ex...
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Open AccessExistence theorems of an extension for generalized strong vector quasi-equilibrium problems
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 for an exte...
