Weak Sharpness and Finite Convergence for Solutions of Nonsmooth Variational Inequalities in Hilbert Spaces

Modified inertial subgradient extragradient algorithms for pseudomonotone equilibrium problems with the constraint of nonexpansive mappings

“…The solution set of the VIP is denoted by Sol(C, S). The VIP provide a unified framework for lots of problems arising in the real world; see, e.g., [6,7,8,9,10] and the references therein. To the best of our knowledge, one of the most popular methods for solving the VIP is the extragradient method, first investigated by Korpelevich [11] for saddle point problems in 1976.…”

Variational-Like Inequality Problem Involving Generalized Cayley Operator

“…The concept of variational inequalities was introduced by Stampacchia [1] and Fichera [2], separately. The variational inequality theory has received adequate recognition due to its implementation in a diverse range of problems arising in economics, physics, mathematical finance, structural analysis and in many branches of social, pure and applied sciences, see, for example, in [3][4][5][6][7][8][9][10][11][12][13][14]. Stampacchia [1] proved that the possible problems related with elliptic equations can be analysed through variational inequalities.…”

Stability and Convergence Analysis for Set-Valued Extended Generalized Nonlinear Mixed Variational Inequality Problems and Generalized Resolvent Dynamical Systems

“…Variational inequality theory was introduced by Hartmann and Stampacchia [1] in 1966 as a tool for the study of partial differential equations with applications principally drawn from mechanics. Variational inclusions are the generalized forms of variational inequalities and they have wide range of applications in industry, mathematical finance, and economics and in several branches of applied sciences; see [2][3][4][5][6] and the references therein.…”