Connectedness in Set Optimization via a Nonlinear Scalarization

Authors

  • Bienvenido Jiménez Author

Keywords:

Set optimization, connectedness, weak l-minimal solution, lower set less relation, scalar ization.

Abstract

 Weconsider the sets of minimal solutions and weak minimal solutions to a set optimization problem with respect to the lower and upper set less relations. Via a nonlinear scalarization based on the oriented distance, we establish that they are connected under the assumption of strictly natural quasi cone-convexity.

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Published

2024-07-05

Issue

Vol. 9 No. 2 (2024): volume 9 issue 2 (2024)

Section

Articles

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How to Cite

Connectedness in Set Optimization via a Nonlinear Scalarization. (2024). Minimax Theory and Its Applications, 9(2), 325–339. https://journalmta.com/index.php/jmta/article/view/132