In this paper, by means of the null set defined by Wu (J Math Anal Appl. 2019; 472: 1741–
1761), we introduce a set-valued equilibrium problem based on the null set, where the …

We present a sufficient condition for the existence of a solution to the generalized vector
equilibrium problem on Hadamard manifolds using a version of the Knaster–Kuratowski …

In this paper, two existence theorems concerning the strong efficient solutions and the
weakly efficient solutions of generalized vector equilibrium problems are derived by using …

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 …

In this paper, we develop existence and stability theorems for strong vector set-valued
equilibrium problems in reflexive Banach spaces. Based on asymptotic cone theory, we …

In this paper, we obtain several new generalized KKM-type theorems under a new coercivity
condition and the condition of intersectionally closedness which improves condition of …

We prove the existence of a solution to the generalized vector equilibrium problem with
bounds. We show that several known theorems from the literature can be considered as …

In this paper, the notion of the vector quasiconcavity and lower vector continuity for
multivalued mappings without using the algebraic structure are introduced. By applying …

In this article, the strict feasibility and solvability of generalized vector equilibrium problem
with set-valued mapping in reflexive Banach spaces are considered. By introducing two …

In this paper, a system of generalized operator equilibrium problems (for short, SGOEP) in
the setting of topological vector spaces is introduced. Applying some properties of the …