On the Weak Convergence of the Extragradient Method for Solving Pseudo-Monotone Variational Inequalities
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-017-1214-0
Abstract: In infinite-dimensional Hilbert spaces, we prove that the iterative sequence generated by the extragradient method for solving pseudo-monotone variational inequalities converges weakly to a solution. A class of pseudo-monotone variational inequalities is considered to illustrate… read more here.
Keywords: pseudo monotone; method solving; extragradient method; variational inequalities ... See more keywords
Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
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DOI: 10.1007/s11075-019-00780-0
Abstract: The aim of this paper is to study a classical pseudo-monotone and non-Lipschitz continuous variational inequality problem in real Hilbert spaces. Weak and strong convergence theorems are presented under mild conditions. Our methods generalize and… read more here.
Keywords: pseudo monotone; convergence theorems; non lipschitz; weak strong ... See more keywords
The Inertial Sub-Gradient Extra-Gradient Method for a Class of Pseudo-Monotone Equilibrium Problems
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DOI: 10.3390/sym12030463
Abstract: In this article, we focus on improving the sub-gradient extra-gradient method to find a solution to the problems of pseudo-monotone equilibrium in a real Hilbert space. The weak convergence of our method is well-established based… read more here.
Keywords: pseudo monotone; sub gradient; method; gradient ... See more keywords
Bregman subgradient extragradient method with monotone self-adjustment stepsize for solving pseudo-monotone variational inequalities and fixed point problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Industrial and Management Optimization"
DOI: 10.3934/jimo.2020178
Abstract: Using the concept of Bregman divergence, we propose a new subgradient extragradient method for approximating a common solution of pseudo-monotone and Lipschitz continuous variational inequalities and fixed point problem in real Hilbert spaces. The algorithm… read more here.
Keywords: pseudo monotone; extragradient method; monotone; variational inequalities ... See more keywords