Stability of ψ-additive mappings: applications to nonlinear analysis

Stability of ψ-additive mappings: applications to nonlinear analysis

The Hyers-Ulam stability of mappings is in development and several authors have remarked interesting applications of this theory to various mathematical problems. In this paper some applications in nonlinear analysis are presented, especially in fixed point theory. These kinds of applications seem n...

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Main Authors: George Isac, Themistocles M. Rassias
Format: Article
Language:English
Published: Hindawi Limited 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
stability
nonlinear analysis
cone
homomorphism
eigenvalue
bifurcation
Hammerstein equation
completely continuous
operator
Banach spaces.
Online Access:http://dx.doi.org/10.1155/S0161171296000324
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spelling doaj-70f03574d43b403f9ad33ca63cf6baf62020-11-25T00:47:25ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119221922810.1155/S0161171296000324Stability of ψ-additive mappings: applications to nonlinear analysisGeorge Isac0Themistocles M. Rassias1Department of Mathematics and Computer Sciences, Royal Military College of Canada, Ontario, Kingston K7K 5L0, CanadaDepartment of Mathematics, University of La Verne, P O Box 51105, Kifissia, Athens 14510, GreeceThe Hyers-Ulam stability of mappings is in development and several authors have remarked interesting applications of this theory to various mathematical problems. In this paper some applications in nonlinear analysis are presented, especially in fixed point theory. These kinds of applications seem not to have ever been remarked before by other authors.http://dx.doi.org/10.1155/S0161171296000324stabilitynonlinear analysisconehomomorphismeigenvaluebifurcationHammerstein equationcompletely continuousoperatorBanach spaces.
collection DOAJ
language English
format Article
sources DOAJ
author George Isac
Themistocles M. Rassias
spellingShingle George Isac
Themistocles M. Rassias
Stability of ψ-additive mappings: applications to nonlinear analysis
International Journal of Mathematics and Mathematical Sciences
stability
nonlinear analysis
cone
homomorphism
eigenvalue
bifurcation
Hammerstein equation
completely continuous
operator
Banach spaces.
author_facet George Isac
Themistocles M. Rassias
author_sort George Isac
title Stability of ψ-additive mappings: applications to nonlinear analysis
title_short Stability of ψ-additive mappings: applications to nonlinear analysis
title_full Stability of ψ-additive mappings: applications to nonlinear analysis
title_fullStr Stability of ψ-additive mappings: applications to nonlinear analysis
title_full_unstemmed Stability of ψ-additive mappings: applications to nonlinear analysis
title_sort stability of ψ-additive mappings: applications to nonlinear analysis
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1996-01-01
description The Hyers-Ulam stability of mappings is in development and several authors have remarked interesting applications of this theory to various mathematical problems. In this paper some applications in nonlinear analysis are presented, especially in fixed point theory. These kinds of applications seem not to have ever been remarked before by other authors.
topic stability
nonlinear analysis
cone
homomorphism
eigenvalue
bifurcation
Hammerstein equation
completely continuous
operator
Banach spaces.
url http://dx.doi.org/10.1155/S0161171296000324
work_keys_str_mv AT georgeisac stabilityofpsadditivemappingsapplicationstononlinearanalysis
AT themistoclesmrassias stabilityofpsadditivemappingsapplicationstononlinearanalysis
_version_ 1725260124616916992

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