New Class of K-G-Type Symmetric Second Order Vector Optimization Problem

Abstract

In this paper, we present meanings of K-Gf-bonvexity/K-Gf-pseudobonvexity and their generalization between the above-notice functions. We also construct various concrete non-trivial examples for existing these types of functions. We formulate K-Gf-Wolfe type multiobjective second-order symmetric duality model with cone objective as well as cone constraints and duality theorems have been established under these aforesaid conditions. Further, we have validates the weak duality theorem under those assumptions. Our results are more generalized than previous known results in the literature.

Keywords

• <i>K</i>-<i>Gf</i>-pseudobonvexity
• second-order
• <i>K</i>-<i>Gf</i>-Wolfe type
• efficient solution
• multiobjective programming
• arbitrary cones