Results 11 to 20 of about 164 (68)
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz‐type continuous bifunctions are involved in a real Hilbert space. The first method needs the prior knowledge of the Lipschitz constants of the bifunctions while the second method uses a
Gaobo Li, Sun Young Cho
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Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we investigate the split equilibrium problem and fixed point problem in Hilbert spaces. We propose an iterative scheme for solving such problem in which the involved equilibrium bifunctions f and g are pseudomonotone and monotone, respectively, and the operators S and T are all pseudocontractive.
Li-Jun Zhu +3 more
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On Strongly Generalized Preinvex Fuzzy Mappings
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this article, we introduce a new notion of generalized convex fuzzy mapping known as strongly generalized preinvex fuzzy mapping on the invex set. Firstly, we have investigated some properties of strongly generalized preinvex fuzzy mapping. In particular, we establish the equivalence among the strongly generalized preinvex fuzzy mapping, strongly ...
Peide Liu +4 more
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Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we introduce a Halpern algorithm and a nonconvex combination algorithm to approximate a solution of the split common fixed problem of quasi‐ϕ‐nonexpansive mappings in Banach space. In our algorithms, the norm of linear bounded operator does not need to be known in advance.
Gaobo Li, Sun Young Cho
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Extragradient Method for Fixed Points in CAT(0) Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 This paper is dedicated to construct a viscosity extragradient algorithm for finding fixed points in a CAT(0) space. The mappings we consider are nonexpansive. Strong convergence of the algorithm is obtained. The results established in this work extend and improve some recent discovers in the literature.
Yu-Pei Lv +5 more
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Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 In this paper, we introduce a new iterative method in a real Hilbert space for approximating a point in the solution set of a pseudomonotone equilibrium problem which is a common fixed point of a finite family of demicontractive mappings. Our result does not require that we impose the condition that the sum of the control sequences used in the finite ...
F. U. Ogbuisi +2 more
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A Wiener‐Hopf Dynamical System for Mixed Equilibrium Problems
International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2014 We suggest and analyze dynamical systems associated with mixed equilibrium problems by using the resolvent operator technique. We show that these systems have globally asymptotic property. The concepts and results presented in this paper extend and unify a number of previously known corresponding concepts and results in the literature.
Farhat Suhel +3 more
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Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition
Ekkarath Thailert +3 more
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Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We first introduce the notion of η‐upper sign property which is an extension of the upper sign property introduced in Castellani and Giuli, 2013, by relaxing convexity on the set. Afterwards, we establish a link between the solution sets of local dual equilibrium problem (Minty local equilibrium problem) and equilibrium problem for mappings whose ...
Ali Farajzadeh +3 more
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A New Iterative Method for Equilibrium Problems and Fixed Point Problems
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz‐type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space.
Abdul Latif +2 more
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