Generalized Differentiable -Invex Functions and Their Applications in Optimization

Generalized Differentiable -Invex Functions and Their Applications in Optimization

The concept of -convex function and its generalizations is studied with differentiability assumption. Generalized differentiable -convexity and generalized differentiable -invexity are used to derive the existence of optimal solution of a general optimization problem.

Bibliographic Details
Main Authors: S. Jaiswal, G. Panda
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Advances in Operations Research
Online Access:http://dx.doi.org/10.1155/2012/175176
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spelling doaj-7cd1dab13f32488a8f02679ef97fc1922020-11-24T21:33:02ZengHindawi LimitedAdvances in Operations Research1687-91471687-91552012-01-01201210.1155/2012/175176175176Generalized Differentiable -Invex Functions and Their Applications in OptimizationS. Jaiswal0G. Panda1Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaDepartment of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, IndiaThe concept of -convex function and its generalizations is studied with differentiability assumption. Generalized differentiable -convexity and generalized differentiable -invexity are used to derive the existence of optimal solution of a general optimization problem.http://dx.doi.org/10.1155/2012/175176
collection DOAJ
language English
format Article
sources DOAJ
author S. Jaiswal
G. Panda
spellingShingle S. Jaiswal
G. Panda
Generalized Differentiable -Invex Functions and Their Applications in Optimization
Advances in Operations Research
author_facet S. Jaiswal
G. Panda
author_sort S. Jaiswal
title Generalized Differentiable -Invex Functions and Their Applications in Optimization
title_short Generalized Differentiable -Invex Functions and Their Applications in Optimization
title_full Generalized Differentiable -Invex Functions and Their Applications in Optimization
title_fullStr Generalized Differentiable -Invex Functions and Their Applications in Optimization
title_full_unstemmed Generalized Differentiable -Invex Functions and Their Applications in Optimization
title_sort generalized differentiable -invex functions and their applications in optimization
publisher Hindawi Limited
series Advances in Operations Research
issn 1687-9147
1687-9155
publishDate 2012-01-01
description The concept of -convex function and its generalizations is studied with differentiability assumption. Generalized differentiable -convexity and generalized differentiable -invexity are used to derive the existence of optimal solution of a general optimization problem.
url http://dx.doi.org/10.1155/2012/175176
work_keys_str_mv AT sjaiswal generalizeddifferentiableinvexfunctionsandtheirapplicationsinoptimization
AT gpanda generalizeddifferentiableinvexfunctionsandtheirapplicationsinoptimization
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