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

Publish Year: 1402
Type: Journal paper
Language: English
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Document National Code:

JR_IJNAA-14-8_003

Index date: 26 September 2023

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

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

Arcwise cone connected functions , vector optimization problem , optimality , duality

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

Mamta Chaudhary

Department of Mathematics, Satyawati College, University of Delhi, Delhi ۱۱۰۰۰۷, India

Muskan Kapoor

Department of Mathematics, BPIT, GGSIPU, Delhi ۱۱۰۰۸۹, India

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