International Journal of Nonlinear Analysis and Applications

On vector variational-like inequality and vector optimization problem with $(G,\alpha)$-univexity

Document Type : Research Paper

Authors

Department of Mathematics, University of Jammu, Jammu-180006, India

Abstract

In this paper, we introduce and study $(G,\alpha)$-univex functions by generalizing the $\alpha- $ univex functions and establishing relationships between vector variational-like inequality problems and vector optimization problems. Furthermore, we formulate equivalence among the vector critical points, weak efficient points of vector optimization problems and the solution of weak vector variational-like inequality problems under pseudo-$(G,\alpha)$-univexity assumptions. An example is also constructed to validate the main result.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 643-650
  • Receive Date: 09 December 2021
  • Revise Date: 26 March 2022
  • Accept Date: 21 April 2022