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

Authors

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

Published

2022-08-20

How to Cite

A class of higher-order symmetry duality in vector optimization problem under strongly higher-order (Q,T,tau,theta, e)-pseudoconvexity assumptions. (2022). Nonlinear Studies, 29(3). https://nonlinearstudies.com/index.php/nonlinear/article/view/2995