Higher order duality for cone vector optimization problems

Vivek Singh; Anurag Jayswal; S. Al-Homidan; I. Ahmad

doi:10.1142/S1793557120500205

Higher order duality for cone vector optimization problems

Vivek Singh, Anurag Jayswal, S. Al-Homidan, I. Ahmad^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we present a new class of higher order (φ,ρ)-V-invex functions over cones. Further, we formulate two types of higher order dual models for a vector optimization problem over cones containing support functions in objectives as well as in constraints and establish several duality results, viz., weak and strong duality results.

Original language	English
Article number	2050020
Journal	Asian-European Journal of Mathematics
Volume	13
Issue number	1
DOIs	https://doi.org/10.1142/S1793557120500205
State	Published - 1 Feb 2020

Bibliographical note

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Keywords

K -higher order (φ, ρ) - V -invexity
Vector optimization over cones
higher order duality
support function

ASJC Scopus subject areas

Mathematics (all)

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10.1142/S1793557120500205

Cite this

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abstract = "In this paper, we present a new class of higher order (φ,ρ)-V-invex functions over cones. Further, we formulate two types of higher order dual models for a vector optimization problem over cones containing support functions in objectives as well as in constraints and establish several duality results, viz., weak and strong duality results.",

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KW - support function

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Higher order duality for cone vector optimization problems

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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