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On Vector Variational Inequalities and Vector Optimization Problems

  • B. B. Upadhyay
  • Priyanka MishraEmail author
Conference paper
  • 17 Downloads
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1154)

Abstract

This article deals with the relations among Minty and Stampacchia vector variational inequalities and vector optimization problems involving strongly convex functions of higher order. A numerical example has been given to justify the significance of these results. Moreover, we employ KKM–Fan theorem to establish the existence of the solutions for the considered Minty and Stampacchia vector variational inequalities.

Keywords

Efficient minimizers KKM-Fan theorem Strongly convex functions 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology PatnaPatnaIndia

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