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 …

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 …

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 …

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 …

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 …

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 …

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 …

Generalized convex functions preserve many valuable properties of mathematical
programming problems with convex functions. Generalized monotone maps allow for an …

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 …

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 …