Symmetric duality for multiobjective fractional variational problems with generalized invexity

Izhar Ahmad

doi:10.1016/j.ins.2005.04.002

Symmetric duality for multiobjective fractional variational problems with generalized invexity

Izhar Ahmad^*

^*Corresponding author for this work

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

12 Scopus citations

Abstract

The concept of symmetric duality for multiobjective fractional problems has been extended to the class of multiobjective variational problems. Weak, strong and converse duality theorems are proved under generalized invexity assumptions. A close relationship between these problems and multiobjective fractional symmetric dual problems is also presented.

Original language	English
Pages (from-to)	2192-2207
Number of pages	16
Journal	Information Sciences
Volume	176
Issue number	15
DOIs	https://doi.org/10.1016/j.ins.2005.04.002
State	Published - 3 Aug 2006
Externally published	Yes

Keywords

Fractional variational programming
Multiobjective programming
Properly efficient solutions
Pseudoinvexity
Symmetric duality

ASJC Scopus subject areas

Software
Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications
Information Systems and Management
Artificial Intelligence

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10.1016/j.ins.2005.04.002

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title = "Symmetric duality for multiobjective fractional variational problems with generalized invexity",

abstract = "The concept of symmetric duality for multiobjective fractional problems has been extended to the class of multiobjective variational problems. Weak, strong and converse duality theorems are proved under generalized invexity assumptions. A close relationship between these problems and multiobjective fractional symmetric dual problems is also presented.",

keywords = "Fractional variational programming, Multiobjective programming, Properly efficient solutions, Pseudoinvexity, Symmetric duality",

author = "Izhar Ahmad",

year = "2006",

month = aug,

day = "3",

doi = "10.1016/j.ins.2005.04.002",

language = "English",

volume = "176",

pages = "2192--2207",

journal = "Information Sciences",

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number = "15",

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T1 - Symmetric duality for multiobjective fractional variational problems with generalized invexity

AU - Ahmad, Izhar

PY - 2006/8/3

Y1 - 2006/8/3

N2 - The concept of symmetric duality for multiobjective fractional problems has been extended to the class of multiobjective variational problems. Weak, strong and converse duality theorems are proved under generalized invexity assumptions. A close relationship between these problems and multiobjective fractional symmetric dual problems is also presented.

AB - The concept of symmetric duality for multiobjective fractional problems has been extended to the class of multiobjective variational problems. Weak, strong and converse duality theorems are proved under generalized invexity assumptions. A close relationship between these problems and multiobjective fractional symmetric dual problems is also presented.

KW - Fractional variational programming

KW - Multiobjective programming

KW - Properly efficient solutions

KW - Pseudoinvexity

KW - Symmetric duality

UR - https://www.scopus.com/pages/publications/33646536770

U2 - 10.1016/j.ins.2005.04.002

DO - 10.1016/j.ins.2005.04.002

M3 - Article

AN - SCOPUS:33646536770

SN - 0020-0255

VL - 176

SP - 2192

EP - 2207

JO - Information Sciences

JF - Information Sciences

IS - 15

ER -

Symmetric duality for multiobjective fractional variational problems with generalized invexity

Abstract

Keywords

ASJC Scopus subject areas

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