Results 21 to 30 of about 332 (162)
A geometrical insight on pseudoconvexity and pseudomonotonicity [PDF]
Mathematical Programming, 2009 Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.
Jean-Pierre Crouzeix +2 more
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An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin +3 more
wiley +1 more source
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.
Bueno, Orestes, Cotrina, John
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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
wiley +1 more source
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 The primary objective of this study is to introduce two novel extragradient‐type iterative schemes for solving variational inequality problems in a real Hilbert space. The proposed iterative schemes extend the well‐known subgradient extragradient method and are used to solve variational inequalities involving the pseudomonotone operator in real Hilbert
Chainarong Khunpanuk +3 more
wiley +1 more source
Strong Convergent Theorems Governed by Pseudo-Monotone Mappings
Mathematics, 2020 The purpose of this paper is to introduce two different kinds of iterative algorithms with inertial effects for solving variational inequalities. The iterative processes are based on the extragradient method, the Mann-type method and the viscosity method.
Liya Liu, Xiaolong Qin, Jen-Chih Yao
doaj +1 more source
Regularization of Brézis pseudomonotone variational inequalities
Set-Valued and Variational Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bianchi Monica, Pini Rita, Kassay Gabor
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On the solution existence of pseudomonotone variational inequalities [PDF]
Journal of Global Optimization, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bui Trong Kien +2 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
wiley +1 more source
Infinite player noncooperative games with vector payoffs under relative pseudomonotonicity [PDF]
, 2006 In this paper we consider the Nash equilibrium problem for infinite player games with vector payoffs in a topological vector space setting. By employing new concepts of relative (pseudo)monotonicity, we establish several existence results of solutions ...
A. GNUDI +7 more
core +1 more source