Results 1 to 10 of about 150 (124)
Projected Subgradient Algorithms for Pseudomonotone Equilibrium Problems and Fixed Points of Pseudocontractive Operators [PDF]
Mathematics, 2020 The projected subgradient algorithms can be considered as an improvement of the projected algorithms and the subgradient algorithms for the equilibrium problems of the class of monotone and Lipschitz continuous operators.
Yonghong Yao +2 more
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Eigenvalue results for pseudomonotone perturbations of maximal monotone operators
Open Mathematics, 2013 Abstract Let X be an infinite-dimensional real reflexive Banach space such that X and its dual X* are locally uniformly convex. Suppose that T: X⊃D(T) → 2X* is a maximal monotone multi-valued operator and C: X⊃D(C) → X* is a generalized pseudomonotone quasibounded operator with L ⊂ D(C), where L is a dense subspace of X.
Kim In-Sook, Bae Jung-Hyun
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Variational-like inequalities for pseudomonotone operators [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 The aim of this note is to use a fixed point theorem to prove results for variational-like inequalities for pseudomonotone operators.
Ashok Ganguly
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Journal of Mathematics, 2023 This paper considers an alternated inertial-type extrapolation algorithm for solving bilevel pseudomonotone variational inequality problem in the framework of real Hilbert spaces with split variational inequality and fixed-point constraints of demimetric
Jacob Ashiwere Abuchu +4 more
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Strong Convergence Results of Split Equilibrium Problems and Fixed Point Problems
Journal of Mathematics, 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 ...
Li-Jun Zhu +2 more
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The pseudomonotone polar for multivalued operators [PDF]
Optimization, 2017 In this work, we study the pseudomonotonicity of multivalued operators from the point of view of polarity, in an analogous way as the well-known monotone polar due to Martínez-Legaz and Svaiter, and the quasimonotone polar recently introduced by Bueno and Cotrina.
John Cotrina, Orestes Bueno
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Generalized Bi-Quasivariational Inequalities for Quasi-Pseudomonotone Type II Operators on Noncompact Sets [PDF]
Journal of Inequalities and Applications, 2010 We prove some existence results of solutions for a new class of generalized bi-quasivariational inequalities (GBQVI) for quasi-pseudomonotone type II and strongly quasi-pseudomonotone type II operators defined on noncompact sets in locally convex ...
Mohammad S. R. Chowdhury, Yeol Je Cho
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On pseudomonotone elliptic operators with functional dependence on unbounded domains
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We generalize F. E. Browder's results concerning pseudomonotone elliptic partial differential operators defined on unbounded domains. We show that under suitable assumptions, Browder's result holds true if the coefficient functions are functionals of ...
Mihály Csirik
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Variational inequalities for (η, θ)-pseudomonotone operators in nonreflexive Banach spaces
Applied Mathematics Letters, 1999 The paper concerns a variational problem: Find \(x_0\in K\) such that, for all \(x\in K\), \(\langle Tx_0,\eta(x,x_0)\rangle\geq 0\). Here \(X\) is a nonreflexive Banach space, \(K\subseteq X^{**}\) is a convex set, \(T:K\to X^{*}\) is a hemicontinuous operator, and \(\eta:K\times K\to X^{**}\) is an appropriate substitute for the standard operator ...
Lee, B.-S., Lee, G.-M.
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Iterative Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Pseudocontractive Operators [PDF]
Mathematics, 2019 In this paper, we are interested in the pseudomonotone variational inequalities and fixed point problem of pseudocontractive operators in Hilbert spaces. An iterative algorithm has been constructed for finding a common solution of the pseudomonotone variational inequalities and fixed point of pseudocontractive operators.
Jen-Chih Yao +2 more
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