A generalization of contraction principle
In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping. Using the generalized mean value contraction, some fixed point theorems are discussed.
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| Format: | Article |
| Language: | English |
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Wiley
1981-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171281000148 |
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| _version_ | 1832566957763723264 |
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| author | K. M. Ghosh |
| author_facet | K. M. Ghosh |
| author_sort | K. M. Ghosh |
| collection | DOAJ |
| description | In this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping. Using the generalized mean value contraction, some fixed point theorems are discussed. |
| format | Article |
| id | doaj-art-75abfd8491d740ea9355b415bcb88ba0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1981-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-75abfd8491d740ea9355b415bcb88ba02025-02-03T01:02:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251981-01-014120120710.1155/S0161171281000148A generalization of contraction principleK. M. Ghosh0Dept. of Pure Mathematics, Calcutta University, 35, Ballygunge Circular Road, Calcutta 700019, IndiaIn this paper, a generalized mean value contraction is introduced. This contraction is an extension of the contractions of earlier researchers and of the generalized mean value non-expansive mapping. Using the generalized mean value contraction, some fixed point theorems are discussed.http://dx.doi.org/10.1155/S0161171281000148fixed pointmean value iteration. |
| spellingShingle | K. M. Ghosh A generalization of contraction principle International Journal of Mathematics and Mathematical Sciences fixed point mean value iteration. |
| title | A generalization of contraction principle |
| title_full | A generalization of contraction principle |
| title_fullStr | A generalization of contraction principle |
| title_full_unstemmed | A generalization of contraction principle |
| title_short | A generalization of contraction principle |
| title_sort | generalization of contraction principle |
| topic | fixed point mean value iteration. |
| url | http://dx.doi.org/10.1155/S0161171281000148 |
| work_keys_str_mv | AT kmghosh ageneralizationofcontractionprinciple AT kmghosh generalizationofcontractionprinciple |