Simultaneous variational relation problems and related applications

Variational relation problems and equivalent forms of generalized Fan-Browder fixed point theorem with applications to Stampacchia equilibrium problems

“…Lin and Ansari [8], Lin and Wang [9], Balaj and Lin [10] obtained existence theorems of solutions for variational relation problems and gave their applications to fixed point theorems, variational inclusion problems and systems of nonempty intersection theorem.…”

Existence Results for Systems of Quasi-Variational Relations

“…Luc in [11], as a general model that encompasses optimization problems, equilibrium problems or variational inclusion problems. Several authors continued the study of variational relations problems, see for instance the papers [10], [12], [9], [2], [1] and the references therein. Existence results for the solutions of variational relations problems are obtained mostly in two ways: by applying intersection results for set valued mappings (see [11]) or by using various fixed points theorems (see [11], [7], [4]).…”

Stable Analysis of Solution Set for System of Quasivariational Relations with Applications

“…The stability of the solution set of variational relation problems was studied in [2,3]. Various types of sufficient conditions for the existence of solutions of variational relation problems have been investigated in many recent papers (see [4][5][6][7][8][9][10][11][12]). Furthermore, Agarwal et al [13] presented a unified approach for studying the existence of solutions for two types of variational relation problems, and Balaj and Lin [14] established the existence criteria for the solutions of two very general types of variational relation problems.…”