A class of higher-order symmetry duality in vector optimization problem under strongly higher-order (Q,T,tau,theta, e)-pseudoconvexity assumptions

Kuldeep Singh; Arvind Kumar; Awanish Kumar Tiwari; Teekam Singh; Ramu Dubey

Kuldeep Singh Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121 006, India.
Arvind Kumar Department of Mathematics, Dyal Singh College (University of Delhi) Lodhi Road, New Delhi-110 003, India.
Awanish Kumar Tiwari Department of Mathematics, Agra College Agra- 282 004, India.
Teekam Singh School of Computer Science, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248 007, India.
Ramu Dubey Department of Mathematics, J.C. Bose University of Science and Technology, YMCA, Faridabad-121 006, India.

Abstract

In this article, we studied a new types of classes of higher-order $(Q,T,\tau,\theta, e)$-pseudoconvex functions and strongly higher -order $(Q,T,\tau,\theta, e)$-pseudoconvex functions those generalizations of the higher-order $(Q,T,\tau,\theta, e)$-pseudoconvex functions presented in the previous research papers. New type of higher-order symmetric dual multiobjective nonlinear problems formulate over arbitrary cones. In addition,appropriate duality results derive with higher-order $(Q,T,\tau,\theta, e)$-pseudoconvex functions and strongly higher-order $(Q,T,\tau,\theta, e)$-pseudoconvex functions over arbitrary cones.