Optimality and duality for nonsmooth multiobjective optimization problems with generalized V-r-invexity

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

doi:10.1515/JAA.2010.004

Optimality and duality for nonsmooth multiobjective optimization problems with generalized V-r-invexity

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

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

4 Citations (Scopus)

Abstract

In this paper, a new concept of invexity for locally Lipschitz vector-valued functions is introduced, called V-r-type I functions. The generalized Karush-Kuhn-Tucker sufficient optimality conditions are proved and duality theorems are established for a nonsmooth multiobjective optimization problems involving V-r-type I functions with respect to the same function η. © de Gruyter 2010.

Original language	English
Pages (from-to)	49-58
Journal	Journal of Applied Analysis
Volume	16
Issue number	1
DOIs	https://doi.org/10.1515/JAA.2010.004
Publication status	Published - Jun 2010

Research Keywords

Constrained optimization
Duality
Locally Lipschitz functions
Nonsmooth optimization
Optimality
V-r-type I functions

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title = "Optimality and duality for nonsmooth multiobjective optimization problems with generalized V-r-invexity",

abstract = "In this paper, a new concept of invexity for locally Lipschitz vector-valued functions is introduced, called V-r-type I functions. The generalized Karush-Kuhn-Tucker sufficient optimality conditions are proved and duality theorems are established for a nonsmooth multiobjective optimization problems involving V-r-type I functions with respect to the same function η. {\textcopyright} de Gruyter 2010.",

keywords = "Constrained optimization, Duality, Locally Lipschitz functions, Nonsmooth optimization, Optimality, V-r-type I functions",

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

year = "2010",

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doi = "10.1515/JAA.2010.004",

language = "English",

volume = "16",

pages = "49--58",

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AU - Mishra, S. K.

AU - Singh, Vinay

AU - Wang, S. Y.

AU - Lai, K. K.

PY - 2010/6

Y1 - 2010/6

N2 - In this paper, a new concept of invexity for locally Lipschitz vector-valued functions is introduced, called V-r-type I functions. The generalized Karush-Kuhn-Tucker sufficient optimality conditions are proved and duality theorems are established for a nonsmooth multiobjective optimization problems involving V-r-type I functions with respect to the same function η. © de Gruyter 2010.

AB - In this paper, a new concept of invexity for locally Lipschitz vector-valued functions is introduced, called V-r-type I functions. The generalized Karush-Kuhn-Tucker sufficient optimality conditions are proved and duality theorems are established for a nonsmooth multiobjective optimization problems involving V-r-type I functions with respect to the same function η. © de Gruyter 2010.

KW - Constrained optimization

KW - Duality

KW - Locally Lipschitz functions

KW - Nonsmooth optimization

KW - Optimality

KW - V-r-type I functions

UR - https://www.scopus.com/pages/publications/84863338953

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84863338953&origin=recordpage

U2 - 10.1515/JAA.2010.004

DO - 10.1515/JAA.2010.004

M3 - RGC 21 - Publication in refereed journal

SN - 1425-6908

VL - 16

SP - 49

EP - 58

JO - Journal of Applied Analysis

JF - Journal of Applied Analysis

IS - 1

ER -

Optimality and duality for nonsmooth multiobjective optimization problems with generalized V-r-invexity

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Research Keywords

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