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A new linesearch iterative scheme for finding a common solution of split equilibrium and fixed point problems
In this paper, we propose a new linesearch iterative scheme for finding a common solution of split equilibrium and fixed point problems without pseudomonotonicity of the bifunction f in a real Hilbert space. When...
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Open AccessNew Tseng’s extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds
We propose Tseng’s extragradient methods for finding a solution of variational inequality problems associated with pseudomonotone vector fields in Hadamard manifolds. Under standard assumptions such as pseudom...
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A New Linesearch Algorithm for Split Equilibrium Problems
In this paper, we propose a new algorithm for solving a split equilibrium problem involving nonmonotone and monotone equilibrium bifunctions in real Hilbert spaces by using a shrinking projection method with a...
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Open AccessExtragradient subgradient methods for solving bilevel equilibrium problems
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lip...
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Open AccessStrong convergence theorems by hybrid and shrinking projection methods for sums of two monotone operators
In this paper, we introduce two iterative algorithms for finding the solution of the sum of two monotone operators by using hybrid projection methods and shrinking projection methods. Under some suitable condi...
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Open AccessCommon endpoints of generalized weak contractive map**s via separation theorem with applications
In this paper, first, we give the separation theorem which is an extension of the separation theorem due to Jachymski and Jóźwik (J. Math. Anal. Appl. 300:147-159, 2004). Then, by using this and the related re...
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Open AccessExistence theorems for relaxed η-α pseudomonotone and strictly η-quasimonotone generalized variational-like inequalities
In this paper, we prove the existence of solutions for a variational-like inequality and a generalized variational-like inequality in the relaxed η-α pseudomonotone and strictly η-quasimonotone cases in Banach sp...
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Existence of Solutions of New Generalized Mixed Vector Variational-Like Inequalities in Reflexive Banach Spaces
In this paper, we extend the concept of monotonicity for a vector set-valued map** to semimonotonicity for a vector set-valued map**. Then, we prove solvability results for a class of new generalized mixed...
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Chapter and Conference Paper
A New Viscosity Cesàro Mean Approximation Method for a General System of Finite Variational Inequalities and Fixed Point Problems in Banach Spaces
We introduce the new strong convergence theorem by using the Cesàro mean approximation method and viscosity method with weak contraction for finding a common solution of fixed point problems for nonexpansive m...
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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...
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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 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 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 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 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 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 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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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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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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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...
