Results 11 to 20 of about 256 (104)
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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A Note on the Generalized Nonlinear Vector Variational‐Like Inequality Problem
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 In this paper, we discuss two variants of the generalized nonlinear vector variational‐like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof.
Ankit Gupta +5 more
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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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Journal of Inequalities and Applications, 2022 In this paper, we present new iterative techniques for approximating the solution of an equilibrium problem involving a pseudomonotone and a Lipschitz-type bifunction in Hilbert spaces.
Habib ur Rehman +4 more
doaj +1 more source
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
wiley +1 more source
Energies, 2020 This manuscript aims to incorporate an inertial scheme with Popov’s subgradient extragradient method to solve equilibrium problems that involve two different classes of bifunction.
Habib ur Rehman +4 more
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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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A new splitting algorithm for equilibrium problems and applications [PDF]
, 2022 In this paper, we discuss a new splitting algorithm for solving equilibrium problems arising from Nash-Cournot oligopolistic equilibrium problems in electricity markets with non-convex cost functions.
HAI, Trinh Ngoc, THI THUONG, Ngo
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A cutting hyperplane method for solving pseudomonotone non-Lipschitzian equilibrium problems [PDF]
, 2012 We present a new method for solving equilibrium problems, where the underlying function is continuous and satisfies a pseudomonotone assumption. First, we construct an appropriate hyperplane which separates the current iterative point from the solution ...
Jong K Kim, Nguyen D Hien, Pham N Anh
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