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 …
Systems of quasi-variational relations with applications
LJ Lin, QH Ansari - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
In this paper, we introduce a system of quasi-variational relations (in short, SQVR) and
present several examples which show that it is a very general and unified model of several …
present several examples which show that it is a very general and unified model of several …
Stability of solutions for variational relation problems with applications
YJ Pu, Z Yang - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
In this paper, we prove that most of problems in variational relations (in the sense of Baire
category) are essential and that, for any problem in variational relations, there exists at least …
category) are essential and that, for any problem in variational relations, there exists at least …
Variational relation problems and equivalent forms of generalized Fan-Browder fixed point theorem with applications to Stampacchia equilibrium problems
LJ Lin - Journal of Global Optimization, 2012 - Springer
In this paper, we study the existence theorems of solution for variational relation problems.
From the existence theorems of solution for variational relation problems, we study …
From the existence theorems of solution for variational relation problems, we study …
[PDF][PDF] A unified approach to collectively maximal elements in abstract convex spaces
S Park - Journal of Nonlinear and Convex Analysis, 2022 - researchgate.net
In 1983, Yannelis and Prahbakar [46] presented some mathematical theorems which were
used to generalize previous results on the existence of maximal elements and of …
used to generalize previous results on the existence of maximal elements and of …
[PDF][PDF] REMARKS ON COLLECTIVELY MAXIMAL ELEMENTS
S PARK - 2022 - jfpt.scik.org
In 1983, Yannelis and Prahbakar [19] presented some mathematical theorems which were
used to generalize previous results on the existence of maximal elements and of …
used to generalize previous results on the existence of maximal elements and of …
Some results on systems of quasi-variational inclusion problems and systems of generalized quasi-variational inclusion problems
LJ Lin - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
In this paper, we study systems of quasi-variational inclusion problem and systems of quasi-
variational disclusion problem. From the existence theorems of solution for these two types …
variational disclusion problem. From the existence theorems of solution for these two types …
Some new generalizations of nonempty intersection theorems without convexity assumptions and essential stability of their solution set with applications
Z Yang - Fixed Point Theory and Applications, 2014 - Springer
As a generalization of the KKM theorem in (Yang and Pu in J. Optim. Theory Appl. 154: 17-
29 2012), we propose some new nonempty intersection theorems for an infinite family of set …
29 2012), we propose some new nonempty intersection theorems for an infinite family of set …
A generalized quasi-equilibrium problem
M Balaj, D O'Regan - Nonlinear Analysis and Variational Problems: In …, 2009 - Springer
In this paper, using the Kakutani–Fan–Glicksberg fixed point theorem, we obtain an
existence theorem for a generalized vector quasi-equilibrium problem of the following type …
existence theorem for a generalized vector quasi-equilibrium problem of the following type …