On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

Sy Ming Guu; Yadvendra Singh; Shashi Kant Mishra

doi:10.1186/s13660-017-1558-x

On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

Sy Ming Guu^*
, Yadvendra Singh
, Shashi Kant Mishra

^*Corresponding author for this work

Graduate Institute of Mangement

Banaras Hindu University

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

45 Scopus citations

Abstract

In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality conditions for the MOSIPVC under generalized convexity assumptions.

Original language	English
Article number	282
Journal	Journal of Inequalities and Applications
Volume	2017
DOIs	https://doi.org/10.1186/s13660-017-1558-x
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017, The Author(s).

Keywords

generalized convexity
mathematical programs with vanishing constraints
optimality conditions
semi-infinite programming

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10.1186/s13660-017-1558-x

Cite this

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title = "On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints",

abstract = "In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality conditions for the MOSIPVC under generalized convexity assumptions.",

keywords = "generalized convexity, mathematical programs with vanishing constraints, optimality conditions, semi-infinite programming",

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AU - Guu, Sy Ming

AU - Singh, Yadvendra

AU - Mishra, Shashi Kant

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Y1 - 2017

N2 - In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality conditions for the MOSIPVC under generalized convexity assumptions.

AB - In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush-Kuhn-Tucker type sufficient optimality conditions for the MOSIPVC under generalized convexity assumptions.

KW - generalized convexity

KW - mathematical programs with vanishing constraints

KW - optimality conditions

KW - semi-infinite programming

UR - https://www.scopus.com/pages/publications/85034810852

U2 - 10.1186/s13660-017-1558-x

DO - 10.1186/s13660-017-1558-x

M3 - 文章

AN - SCOPUS:85034810852

SN - 1025-5834

VL - 2017

JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

M1 - 282

ER -

On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

Abstract

Bibliographical note

Keywords

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