Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions

Ravi P. Agarwal; Izhar Ahmad; Anurag Jayswal

doi:10.1016/j.mcm.2010.06.030

Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions

Ravi P. Agarwal^*
, Izhar Ahmad
, Anurag Jayswal

^*Corresponding author for this work

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

18 Scopus citations

Abstract

A pair of Mond-Weir type multi-objective higher order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under higher order K-F-convexity assumptions. Our results generalize several known results in the literature.

Original language	English
Pages (from-to)	1644-1650
Number of pages	7
Journal	Mathematical and Computer Modelling
Volume	52
Issue number	9-10
DOIs	https://doi.org/10.1016/j.mcm.2010.06.030
State	Published - Nov 2010

Keywords

Cone constraints
Duality theorems
Efficiency
K-F- convexity
Multi-objective programming

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/j.mcm.2010.06.030

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@article{5aae334c4fe34d98b36374622607f893,

title = "Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions",

abstract = "A pair of Mond-Weir type multi-objective higher order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under higher order K-F-convexity assumptions. Our results generalize several known results in the literature.",

keywords = "Cone constraints, Duality theorems, Efficiency, K-F- convexity, Multi-objective programming",

author = "Agarwal, \{Ravi P.\} and Izhar Ahmad and Anurag Jayswal",

year = "2010",

month = nov,

doi = "10.1016/j.mcm.2010.06.030",

language = "English",

volume = "52",

pages = "1644--1650",

journal = "Mathematical and Computer Modelling",

issn = "0895-7177",

publisher = "Elsevier Ltd.",

number = "9-10",

}

TY - JOUR

T1 - Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions

AU - Agarwal, Ravi P.

AU - Ahmad, Izhar

AU - Jayswal, Anurag

PY - 2010/11

Y1 - 2010/11

N2 - A pair of Mond-Weir type multi-objective higher order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under higher order K-F-convexity assumptions. Our results generalize several known results in the literature.

AB - A pair of Mond-Weir type multi-objective higher order symmetric dual programs over arbitrary cones is formulated. Weak, strong and converse duality theorems are established under higher order K-F-convexity assumptions. Our results generalize several known results in the literature.

KW - Cone constraints

KW - Duality theorems

KW - Efficiency

KW - K-F- convexity

KW - Multi-objective programming

UR - https://www.scopus.com/pages/publications/77956010049

U2 - 10.1016/j.mcm.2010.06.030

DO - 10.1016/j.mcm.2010.06.030

M3 - Article

AN - SCOPUS:77956010049

SN - 0895-7177

VL - 52

SP - 1644

EP - 1650

JO - Mathematical and Computer Modelling

JF - Mathematical and Computer Modelling

IS - 9-10

ER -

Higher order symmetric duality in nondifferentiable multi-objective programming problems involving generalized cone convex functions

Abstract

Keywords

ASJC Scopus subject areas

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