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Local Sharp Vector Variational Type Inequality and Optimization Problems

Author

Listed:
  • Jong Kyu Kim

    (Department of Mathematics Education, Kyungnam University, Changwon, Gyeongnam 51767, Korea)

  • Salahuddin

    (Department of Mathematics, Jazan University, Jazan-45142, Saudi Arabia)

Abstract

In this paper, our goal was to establish the relationship between solutions of local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, also Minty local sharp vector variational type inequality and sharp efficient solutions of vector optimization problems, under generalized approximate η -convexity conditions for locally Lipschitzian functions.

Suggested Citation

  • Jong Kyu Kim & Salahuddin, 2020. "Local Sharp Vector Variational Type Inequality and Optimization Problems," Mathematics, MDPI, vol. 8(10), pages 1-10, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1844-:d:431582
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    References listed on IDEAS

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    1. S. K. Mishra & Vivek Laha, 2013. "On Approximately Star-Shaped Functions and Approximate Vector Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 156(2), pages 278-293, February.
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