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

Author:

Swarup Chetan1ORCID,Kumar Ramesh2,Dubey Ramu2,Fathima Dowlath3ORCID

Affiliation:

1. Department of Basic Science, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh-Male Campus, Riyadh 13316, Saudi Arabia

2. Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad 121 006, India

3. Basic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University, Jeddah 23442, Saudi Arabia

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference28 articles.

1. A survey of recent developments in multiobjective optimization;Chinchuluun;Ann. Oper. Res.,2007

2. A symmetric dual theorem for quadratic programming;Dorn;J. Oper. Res. Soc. Jpn.,1960

3. Symmetric dual non-linear programs;Dantzig;Pac. J. Math.,1965

4. A symmetric dual theorem for non-linear programs;Mond;Q. J. Appl. Math.,1965

5. Mangasarian, O.L. (1969). Nonlinear Programming, McGraw-Hill.

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