In this paper, we present several existence results for efficient solutions and efficient points in vector optimization problems. Firstly, we apply a corollary of a recently obtained Caristi-Kirk fixed point theorem ([3]) to obtain existence results for efficient solutions of a vector...

Set-valued optimisation is an important topic and has wide applications in engineering and game theory. An interesting topic in set-valued optimisation is the appropriate introduction of a derivative concept for set-valued mappings. In this paper, Dini directional derivatives are introduced and...

The conventional equilibrium problem found in many economics and network models is based on a scalar cost, or a single objective. Recently, equilibrium problems based on a vector cost, or multicriteria, have received considerable attention. In this paper, we study a scalarization method for...