Duality in vector optimization under type 1 α-invexity in banach spaces

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

doi:10.1080/01630560802418409

Duality in vector optimization under type 1 α-invexity in banach spaces

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

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

5 Citations (Scopus)

Abstract

The aim of this paper is to provide global optimality conditions and duality results for a class of nonconvex vector optimization problems posed on Banach spaces. In this paper, we introduce the concept of quasi type I α-invex, pseudo type I α-invex, quasi pseudo type I α-invex, and pseudo quasi type I α-invex functions in the setting of Banach spaces, and we consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given, and some results on duality are proved.

Original language	English
Pages (from-to)	1128-1139
Number of pages	12
Journal	Numerical Functional Analysis and Optimization
Volume	29
Issue number	9-10
DOIs	https://doi.org/10.1080/01630560802418409
Publication status	Published - Sept 2008
Externally published	Yes

Keywords

Duality
Nonsmooth programming
Optimality
Type I -invexity
Vector optimization

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630560802418409

Cite this

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abstract = "The aim of this paper is to provide global optimality conditions and duality results for a class of nonconvex vector optimization problems posed on Banach spaces. In this paper, we introduce the concept of quasi type I α-invex, pseudo type I α-invex, quasi pseudo type I α-invex, and pseudo quasi type I α-invex functions in the setting of Banach spaces, and we consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given, and some results on duality are proved.",

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AU - Pant, R. P.

AU - Rautela, J. S.

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Y1 - 2008/9

N2 - The aim of this paper is to provide global optimality conditions and duality results for a class of nonconvex vector optimization problems posed on Banach spaces. In this paper, we introduce the concept of quasi type I α-invex, pseudo type I α-invex, quasi pseudo type I α-invex, and pseudo quasi type I α-invex functions in the setting of Banach spaces, and we consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given, and some results on duality are proved.

AB - The aim of this paper is to provide global optimality conditions and duality results for a class of nonconvex vector optimization problems posed on Banach spaces. In this paper, we introduce the concept of quasi type I α-invex, pseudo type I α-invex, quasi pseudo type I α-invex, and pseudo quasi type I α-invex functions in the setting of Banach spaces, and we consider a vector optimization problem with functions defined on Banach spaces. A few sufficient optimality conditions are given, and some results on duality are proved.

KW - Duality

KW - Nonsmooth programming

KW - Optimality

KW - Type I -invexity

KW - Vector optimization

UR - https://www.scopus.com/pages/publications/56349087995

U2 - 10.1080/01630560802418409

DO - 10.1080/01630560802418409

M3 - Article

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JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 9-10

ER -

Duality in vector optimization under type 1 α-invexity in banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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