Multiobjective mixed symmetric duality involving cones

I. Ahmad; Z. Husain

doi:10.1016/j.camwa.2009.03.117

Multiobjective mixed symmetric duality involving cones

I. Ahmad^*
, Z. Husain

^*Corresponding author for this work

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

24 Scopus citations

Abstract

A pair of multiobjective mixed symmetric dual programs is formulated over arbitrary cones. Weak, strong, converse and self-duality theorems are proved for these programs under K-preinvexity and K-pseudoinvexity assumptions. This mixed symmetric dual formulation unifies the symmetric dual formulations of Suneja et al. (2002) [14] and Khurana (2005) [15].

Original language	English
Pages (from-to)	319-326
Number of pages	8
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	1
DOIs	https://doi.org/10.1016/j.camwa.2009.03.117
State	Published - Jan 2010
Externally published	Yes

Bibliographical note

Funding Information:
The research of the second author was supported by the Department of Atomic Energy, Government of India, under the NBHM Post-Doctoral Fellowship Program No. 40/9/2005-R&D II/916.

Keywords

Cone constraints
K-preinvexity
Multiobjective programming
Symmetric duality
Weakly efficient solutions

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2009.03.117

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abstract = "A pair of multiobjective mixed symmetric dual programs is formulated over arbitrary cones. Weak, strong, converse and self-duality theorems are proved for these programs under K-preinvexity and K-pseudoinvexity assumptions. This mixed symmetric dual formulation unifies the symmetric dual formulations of Suneja et al. (2002) [14] and Khurana (2005) [15].",

keywords = "Cone constraints, K-preinvexity, Multiobjective programming, Symmetric duality, Weakly efficient solutions",

author = "I. Ahmad and Z. Husain",

note = "Funding Information: The research of the second author was supported by the Department of Atomic Energy, Government of India, under the NBHM Post-Doctoral Fellowship Program No. 40/9/2005-R\&D II/916.",

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AU - Ahmad, I.

AU - Husain, Z.

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N2 - A pair of multiobjective mixed symmetric dual programs is formulated over arbitrary cones. Weak, strong, converse and self-duality theorems are proved for these programs under K-preinvexity and K-pseudoinvexity assumptions. This mixed symmetric dual formulation unifies the symmetric dual formulations of Suneja et al. (2002) [14] and Khurana (2005) [15].

AB - A pair of multiobjective mixed symmetric dual programs is formulated over arbitrary cones. Weak, strong, converse and self-duality theorems are proved for these programs under K-preinvexity and K-pseudoinvexity assumptions. This mixed symmetric dual formulation unifies the symmetric dual formulations of Suneja et al. (2002) [14] and Khurana (2005) [15].

KW - Cone constraints

KW - K-preinvexity

KW - Multiobjective programming

KW - Symmetric duality

KW - Weakly efficient solutions

UR - https://www.scopus.com/pages/publications/73449103852

U2 - 10.1016/j.camwa.2009.03.117

DO - 10.1016/j.camwa.2009.03.117

M3 - Article

AN - SCOPUS:73449103852

SN - 0898-1221

VL - 59

SP - 319

EP - 326

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 1

ER -

Multiobjective mixed symmetric duality involving cones

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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