On invex programming problem in Hilbert spaces

In this paper we introduce the invex programming problem in Hilbert space. The requisite theory has been established to characterize the solution of such class of problems.

Bibliographic Details
Main Authors: Chatterjee Sandip, Mukherjee Rathindranath
Format: Article
Language:English
Published: University of Belgrade 2015-01-01
Series:Yugoslav Journal of Operations Research
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-0243/2015/0354-02431500010C.pdf
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author Chatterjee Sandip
Mukherjee Rathindranath
author_facet Chatterjee Sandip
Mukherjee Rathindranath
author_sort Chatterjee Sandip
collection DOAJ
description In this paper we introduce the invex programming problem in Hilbert space. The requisite theory has been established to characterize the solution of such class of problems.
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spelling doaj.art-5b3c9238fc2a45e2bb7ff2bb0c1acd0f2022-12-22T00:49:22ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02432334-60432015-01-0125337938510.2298/YJOR141015010C0354-02431500010COn invex programming problem in Hilbert spacesChatterjee Sandip0Mukherjee Rathindranath1Heritage Institute of Technology, Department of Mathematics, Kolkata, West Bengal, IndiaThe University of Burdwan, Department of Mathematics, Bardhaman, West Bengal, IndiaIn this paper we introduce the invex programming problem in Hilbert space. The requisite theory has been established to characterize the solution of such class of problems.http://www.doiserbia.nb.rs/img/doi/0354-0243/2015/0354-02431500010C.pdfinvexitycompactnessweak topologyFrechet derivative
spellingShingle Chatterjee Sandip
Mukherjee Rathindranath
On invex programming problem in Hilbert spaces
Yugoslav Journal of Operations Research
invexity
compactness
weak topology
Frechet derivative
title On invex programming problem in Hilbert spaces
title_full On invex programming problem in Hilbert spaces
title_fullStr On invex programming problem in Hilbert spaces
title_full_unstemmed On invex programming problem in Hilbert spaces
title_short On invex programming problem in Hilbert spaces
title_sort on invex programming problem in hilbert spaces
topic invexity
compactness
weak topology
Frechet derivative
url http://www.doiserbia.nb.rs/img/doi/0354-0243/2015/0354-02431500010C.pdf
work_keys_str_mv AT chatterjeesandip oninvexprogrammingprobleminhilbertspaces
AT mukherjeerathindranath oninvexprogrammingprobleminhilbertspaces