Fixed-point theorems and equilibrium problems

Solutions of system of generalized vector quasi-equilibrium problems in locally G-convex uniform spaces

“…Then there existsx ∈ X such that for each i ∈ I , [2][3][4][5][6][8][9][10][11][12][13][14][15][16]18,19,22,23,[26][27][28][29][30][31][32][33]39] and our argument methods are also different. Theorem 2.4.…”

“…We noticed that vector variational inequalities and its various generalizations have extensive and important applications in vector optimization, optimal control, mathematical programming, operations research and equilibrium problem of economics, etc. Inspired and motivated by above applications, various generalized vector variational inequality problems and generalized vector equilibrium problems have become important developed directions of the classical vector variational inequality theory, for example, see [2,8,11,12,23,26,27,30,31] and references therein.…”

“…When I is a singleton, problem (1.7) and its special cases have been extensively studied by many authors. For example, see [2,8,11,12,23,26,27,30,31] and references therein.…”

Solving Fixed-Point Problems with Inequality and Equality Constraints via a Non-Interior Point Homotopy Path-Following Method

“…In recent years, fixed-point theorems have attracted increasing attention and have been widely investigated by many authors (e.g., [1][2][3][4] and the references therein) because these theorems play important roles in mechanics, physics, differential equations, and so on. The determination of a constructive proof of the fixed-point theorem and therefore finding a fixed point became an attractive topic.…”

KKM type theorems and generalized vector equilibrium problems in noncompact FC-spaces

“…Motivation for this comes from the fact that vector variational inequality and its various generalizations have extensive and important applications in vector optimization, optimal control, mathematical programming, operations research and equilibrium problem of economics. Hence various generalized vector equilibrium problems have become important developed directions of vector variational inequality theory, for example, see [2,[4][5][6][11][12][13][14][15][16][17][18][19][20][21][22] and the references therein.…”