On nondifferentiable multiobjective programming involving type-i ®-invex functions

S. K. Mishra; J. S. Rautela; R. P. Pant

On nondifferentiable multiobjective programming involving type-i ®-invex functions

S. K. Mishra, J. S. Rautela, R. P. Pant

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

2 Citations (Scopus)

Abstract

The aim of this paper is to study a nondifferentiable multiobjective programming problem with inequality constraints. In this paper we introduce the concept of type-I ®- invex, weak strictly pseudo-quasi type-I ®-invex, strong pseudo-quasi type-I ®-invex, weak quasi-strictly-pseudo type-I ®-invex and weak strictly-pseudo type-I ®-invex functions. By utilizing these new notions we derive a Fritz John type sufficient optimality condition and establish Mond-Weir type and general Mond-Weir type duality results for the nondifferentiable multiobjective programming problem.

Original language	English
Pages (from-to)	317-331
Number of pages	15
Journal	Applied Mathematics and Information Sciences
Volume	2
Issue number	3
Publication status	Published - 2008
Externally published	Yes

Keywords

Convexity
Duality.
Nondifferentiable multiobjective programming
Type-I ®-invexity

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Applied Mathematics

Cite this

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title = "On nondifferentiable multiobjective programming involving type-i {\textregistered}-invex functions",

abstract = "The aim of this paper is to study a nondifferentiable multiobjective programming problem with inequality constraints. In this paper we introduce the concept of type-I {\textregistered}- invex, weak strictly pseudo-quasi type-I {\textregistered}-invex, strong pseudo-quasi type-I {\textregistered}-invex, weak quasi-strictly-pseudo type-I {\textregistered}-invex and weak strictly-pseudo type-I {\textregistered}-invex functions. By utilizing these new notions we derive a Fritz John type sufficient optimality condition and establish Mond-Weir type and general Mond-Weir type duality results for the nondifferentiable multiobjective programming problem.",

keywords = "Convexity, Duality., Nondifferentiable multiobjective programming, Type-I {\textregistered}-invexity",

author = "Mishra, {S. K.} and Rautela, {J. S.} and Pant, {R. P.}",

year = "2008",

language = "English",

volume = "2",

pages = "317--331",

journal = "Applied Mathematics and Information Sciences",

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T1 - On nondifferentiable multiobjective programming involving type-i ®-invex functions

AU - Mishra, S. K.

AU - Rautela, J. S.

AU - Pant, R. P.

PY - 2008

Y1 - 2008

N2 - The aim of this paper is to study a nondifferentiable multiobjective programming problem with inequality constraints. In this paper we introduce the concept of type-I ®- invex, weak strictly pseudo-quasi type-I ®-invex, strong pseudo-quasi type-I ®-invex, weak quasi-strictly-pseudo type-I ®-invex and weak strictly-pseudo type-I ®-invex functions. By utilizing these new notions we derive a Fritz John type sufficient optimality condition and establish Mond-Weir type and general Mond-Weir type duality results for the nondifferentiable multiobjective programming problem.

AB - The aim of this paper is to study a nondifferentiable multiobjective programming problem with inequality constraints. In this paper we introduce the concept of type-I ®- invex, weak strictly pseudo-quasi type-I ®-invex, strong pseudo-quasi type-I ®-invex, weak quasi-strictly-pseudo type-I ®-invex and weak strictly-pseudo type-I ®-invex functions. By utilizing these new notions we derive a Fritz John type sufficient optimality condition and establish Mond-Weir type and general Mond-Weir type duality results for the nondifferentiable multiobjective programming problem.

KW - Convexity

KW - Duality.

KW - Nondifferentiable multiobjective programming

KW - Type-I ®-invexity

UR - http://www.scopus.com/inward/record.url?scp=84889056606&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84889056606

SN - 1935-0090

VL - 2

SP - 317

EP - 331

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 3

ER -

On nondifferentiable multiobjective programming involving type-i ®-invex functions

Abstract

Keywords

ASJC Scopus subject areas

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