International Journal of Nonlinear Analysis and Applications

Arcwise $\rho$-connected functions and their generalizations in vector optimization over cones

Document Type : Research Paper

Authors

1 Department of Mathematics, Satyawati College, University of Delhi, Delhi 110007, India

2 Department of Mathematics, BPIT, GGSIPU, Delhi 110089, India

Abstract

In this paper, we introduce a new class of arcwise $\rho$-$K$-connected, arcwise $\rho$-$K$-quasi connected and arcwise $\rho$-$K$-pseudo connected functions which encapsulate already known functions. Necessary and sufficient optimality conditions are established for a vector optimization problem over cones by involving these functions. Wolfe type and Mond-Weir type duals are formulated and corresponding duality results are also proved using these functions.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 8
August 2023
Pages 23-32
  • Receive Date: 30 April 2022
  • Accept Date: 06 June 2023