Optimality and duality for V-invex non-smooth multiobjective programming problems

S. K. Mishra; S. Y. Wang; K. K. Lai

doi:10.1080/02331930802355457

Optimality and duality for V-invex non-smooth multiobjective programming problems

S. K. Mishra
, S. Y. Wang
, K. K. Lai

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

We consider non-smooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several optimality conditions under various (generalized) V-invexity assumptions and certain regularity conditions are presented. Further, we introduce a Mond-Weir type dual and establish duality relations under the aforesaid assumptions.

Original language	English
Pages (from-to)	635-641
Journal	Optimization
Volume	57
Issue number	5
DOIs	https://doi.org/10.1080/02331930802355457
Publication status	Published - Jan 2008

Research Keywords

Duality
Locally Lipschitz functions
Multiobjective programming
Sufficient optimality conditions
V-invex functions

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10.1080/02331930802355457

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title = "Optimality and duality for V-invex non-smooth multiobjective programming problems",

abstract = "We consider non-smooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several optimality conditions under various (generalized) V-invexity assumptions and certain regularity conditions are presented. Further, we introduce a Mond-Weir type dual and establish duality relations under the aforesaid assumptions.",

keywords = "Duality, Locally Lipschitz functions, Multiobjective programming, Sufficient optimality conditions, V-invex functions",

author = "Mishra, \{S. K.\} and Wang, \{S. Y.\} and Lai, \{K. K.\}",

year = "2008",

month = jan,

doi = "10.1080/02331930802355457",

language = "English",

volume = "57",

pages = "635--641",

journal = "Optimization",

issn = "0233-1934",

publisher = "Taylor \& Francis",

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T1 - Optimality and duality for V-invex non-smooth multiobjective programming problems

AU - Mishra, S. K.

AU - Wang, S. Y.

AU - Lai, K. K.

PY - 2008/1

Y1 - 2008/1

N2 - We consider non-smooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several optimality conditions under various (generalized) V-invexity assumptions and certain regularity conditions are presented. Further, we introduce a Mond-Weir type dual and establish duality relations under the aforesaid assumptions.

AB - We consider non-smooth multiobjective programming problems with inequality and equality constraints involving locally Lipschitz functions. Several optimality conditions under various (generalized) V-invexity assumptions and certain regularity conditions are presented. Further, we introduce a Mond-Weir type dual and establish duality relations under the aforesaid assumptions.

KW - Duality

KW - Locally Lipschitz functions

KW - Multiobjective programming

KW - Sufficient optimality conditions

KW - V-invex functions

UR - https://www.scopus.com/pages/publications/56549096385

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-56549096385&origin=recordpage

U2 - 10.1080/02331930802355457

DO - 10.1080/02331930802355457

M3 - RGC 21 - Publication in refereed journal

SN - 0233-1934

VL - 57

SP - 635

EP - 641

JO - Optimization

JF - Optimization

IS - 5

ER -

Optimality and duality for V-invex non-smooth multiobjective programming problems

Abstract

Research Keywords

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