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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000324 |
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| _version_ | 1832548463997353984 |
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| author | George Isac Themistocles M. Rassias |
| author_facet | George Isac Themistocles M. Rassias |
| author_sort | George Isac |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-70f03574d43b403f9ad33ca63cf6baf6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-70f03574d43b403f9ad33ca63cf6baf62025-02-03T06:13:57ZengWileyInternational 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. |
| 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. |
| title | 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_short | Stability of ψ-additive mappings: applications to nonlinear analysis |
| title_sort | stability of ψ additive mappings applications to nonlinear analysis |
| 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 |