Existence of equilibria via Ekeland's principle
In the literature, when dealing with equilibrium problems and the existence of their solutions,
the most used assumptions are the convexity of the domain and the generalized convexity …
the most used assumptions are the convexity of the domain and the generalized convexity …
The system of generalized vector equilibrium problems with applications
In this paper, we introduce the system of generalized vector equilibrium problems which
includes as special cases the system of generalized implicit vector variational inequality …
includes as special cases the system of generalized implicit vector variational inequality …
Strong vector equilibrium problems
G Xunhua - Journal of Global Optimization, 2006 - Springer
In this paper, the existence of the solution for strong vector equilibrium problems is studied
by using the separation theorem for convex sets. The arc-wise connectedness and the …
by using the separation theorem for convex sets. The arc-wise connectedness and the …
[HTML][HTML] Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
In this paper, we study the generalized strong vector quasi-equilibrium problem without
assuming that the dual of the ordering cone has a weak∗ compact base. We establish an …
assuming that the dual of the ordering cone has a weak∗ compact base. We establish an …
The Ekeland variational principle for equilibrium problems revisited and applications
B Alleche, VD Rădulescu - Nonlinear Analysis: Real World Applications, 2015 - Elsevier
In this paper, we study the Ekeland variational principle for equilibrium problems under the
setting of real Banach spaces. We make use of techniques related to infinite dimensional …
setting of real Banach spaces. We make use of techniques related to infinite dimensional …
A new system of generalized mixed quasi-variational inclusions with (H, η)-monotone operators
J Peng, D Zhu - Journal of Mathematical Analysis and Applications, 2007 - Elsevier
In this paper, we introduce and study a new system of generalized mixed quasi-variational
inclusions with (H, η)-monotone operators. We prove the convergence of a new iterative …
inclusions with (H, η)-monotone operators. We prove the convergence of a new iterative …
Ekeland's principle for cyclically antimonotone equilibrium problems
M Castellani, M Giuli - Nonlinear Analysis: Real World Applications, 2016 - Elsevier
In this paper, we deal with equilibrium problems without convexity assumptions either for the
domain or for the function involved. First we give an Ekeland's variational principle for …
domain or for the function involved. First we give an Ekeland's variational principle for …
Equilibrium problems under generalized convexity and generalized monotonicity
M Bianchi, S Schaible - Journal of Global Optimization, 2004 - Springer
Generalized convex functions preserve many valuable properties of mathematical
programming problems with convex functions. Generalized monotone maps allow for an …
programming problems with convex functions. Generalized monotone maps allow for an …
On implicit vector equilibrium problems
J Li, N Huang, JK Kim - Journal of Mathematical Analysis and Applications, 2003 - Elsevier
In this paper, we introduce and study a class of implicit vector equilibrium problems, which
includes a number of (scalar) implicit equilibrium problems, implicit variational inequalities …
includes a number of (scalar) implicit equilibrium problems, implicit variational inequalities …
[HTML][HTML] New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions
M Alimohammady, J Balooee, YJ Cho… - Computers & Mathematics …, 2010 - Elsevier
This paper introduces a new system of extended generalized nonlinear mixed quasi-
variational inclusions involving A-maximal m-relaxed η-accretive (so called (A, η)-accretive …
variational inclusions involving A-maximal m-relaxed η-accretive (so called (A, η)-accretive …