13 Result(s)
within
Somyot Plubtieng
Mathematical and Computational Biology
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Article
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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Article
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 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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Article
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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Article
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 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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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 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 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 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
