[PDF][PDF] Common solutions of an iterative scheme for variational inclusions, equilibrium problems, and fixed point problems
JW Peng, Y Wang, DS Shyu, JC Yao - Journal of Inequalities and …, 2008 - Springer
We introduce an iterative scheme by the viscosity approximate method for finding a common
element of the set of solutions of a variational inclusion with set-valued maximal monotone …
element of the set of solutions of a variational inclusion with set-valued maximal monotone …
Well-posedness in the generalized sense for variational inclusion and disclusion problems and well-posedness for optimization problems with constraint
LJ Lin, CS Chuang - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
In this paper, we study the well-posedness in the generalized sense for variational inclusion
problems and variational disclusion problems, the well-posedness for optimization problems …
problems and variational disclusion problems, the well-posedness for optimization problems …
Generalized variational relation problems with applications
M Balaj, LJ Lin - Journal of optimization theory and applications, 2011 - Springer
In this paper, we first obtain an existence theorem of the solutions for a variational relation
problem. An existence theorem for a variational inclusion problem, a KKM theorem and an …
problem. An existence theorem for a variational inclusion problem, a KKM theorem and an …
The studies of systems of variational inclusions problems and variational disclusions problems with applications
LJ Lin, CI Tu - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
In this paper, we study existence theorems of solutions for systems of variational inclusions
problems and systems of variational disclusions problems. From these existence results, we …
problems and systems of variational disclusions problems. From these existence results, we …
[HTML][HTML] A common fixed point theorem with applications to vector equilibrium problems
M Balaj - Applied Mathematics Letters, 2010 - Elsevier
In this paper, using the Brouwer fixed point theorem, we establish a common fixed point
theorem for a family of set-valued mappings. As applications of this result we obtain …
theorem for a family of set-valued mappings. As applications of this result we obtain …
[HTML][HTML] Simultaneous variational relation problems and related applications
LJ Lin, SY Wang - Computers & Mathematics with Applications, 2009 - Elsevier
The aim of this paper is to present an existence result of the simultaneous variational
relation problem. As applications of our result, we study the existence theorems of solution …
relation problem. As applications of our result, we study the existence theorems of solution …
Semi-continuity of the solution maps of set-valued equilibrium problems with equilibrium constraints
In this paper, we study the parametric set-valued equilibrium problems with equilibrium
constraints based on the comparison of objective values of set-valued maps by set order …
constraints based on the comparison of objective values of set-valued maps by set order …
Equilibrium problems when the equilibrium condition is missing
M Balaj, DF Serac - Arabian Journal of Mathematics, 2023 - Springer
Given a nonempty convex subset X of a topological vector space and a real bifunction f
defined on X× X, the associated equilibrium problem consists in finding a point x 0∈ X such …
defined on X× X, the associated equilibrium problem consists in finding a point x 0∈ X such …
Generalized strong vector quasi-equilibrium problem with domination structure
J Fu, S Wang - Journal of Global Optimization, 2013 - Springer
In this paper, a generalized strong vector quasi-equilibrium problem with set-valued
mapping and domination structure is presented, and under the condition of cone-continuity …
mapping and domination structure is presented, and under the condition of cone-continuity …
Existence theorems for variational inclusion problems and the set-valued vector Ekeland variational principle in a complete metric space
LJ Lin, CS Chuang - Nonlinear Analysis: Theory, Methods & Applications, 2009 - Elsevier
In this paper, we apply an existence theorem for the variational inclusion problem to study
the existence results for the variational intersection problems in Ekeland's sense and the …
the existence results for the variational intersection problems in Ekeland's sense and the …