Convergence Analysis of Self-Adaptive Inertial Extra-Gradient Method for Solving a Family of Pseudomonotone Equilibrium Problems with Application [PDF]
In this article, we propose a new modified extragradient-like method to solve pseudomonotone equilibrium problems in real Hilbert space with a Lipschitz-type condition on a bifunction.
Wiyada Kumam +2 more
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Inertial Extra-Gradient Method for Solving a Family of Strongly Pseudomonotone Equilibrium Problems in Real Hilbert Spaces with Application in Variational Inequality Problem [PDF]
In this paper, we propose a new method, which is set up by incorporating an inertial step with the extragradient method for solving a strongly pseudomonotone equilibrium problems.
Wejdan Deebani +2 more
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An inertial extragradient method for solving strongly pseudomonotone equilibrium problems in Hilbert spaces [PDF]
In this work, we propose an inertial extragradient method for solving strongly pseudomonotone equilibrium problems utilizing a novel self-adaptive stepsize approach.
Vuong Phan, Thong Duong Viet
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Generalized Equilibrium Problems for Quasimonotone and Pseudomonotone Bifunctions
Journal of Optimization Theory and Applications, 2004By using quasimonotone and pseudomonotone bifunctions, we derive sufficient conditions which include weak coercivity conditions for existence of equilibrium points. As a consequence, we improve some recent results on the existence of such solutions.
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Vector variational inequalities with cone-pseudomonotone bifunctions
Optimization, 2005In this article, two types of cone-pseudomonotone bifunctions have been introduced and the weaker form of pseudomonotonicity is used to establish an existence theorem for a Stampacchia-kind vector variational inequality problem given in terms of bifunctions.
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The Tikhonov regularization extended to equilibrium problems involving pseudomonotone bifunctions
Nonlinear Analysis: Theory, Methods & Applications, 2011The authors extend Tikhonov regularization to monotone equilibrium problems and pseudomonotone equilibrium problems. The conclusions are applied to multivalued pseudomonotone variational inequalities.
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Raeisi, M., Eskandani, Gholamreza Zamani
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Generalized quasimonotonicity and strong pseudomonotonicity of bifunctions
Optimization, 1996We extend some recent definitions of generalized monotonicity of maps such as strong pseudomonotonicity and (semi) strict quasimonotonicity, to real bifunctions h(x,d). Under a suitable continuity assumption on a function f we show that (semi) strict quasimonotonicity of the Dini derivatives D +(x,d) and D +(x,d) is equivalent to (semi) strict ...
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