Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in Sobolev spaces Hk,p, for 1<p<∞ and k≥0.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171299221199 |
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| _version_ | 1832545881110347776 |
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| author | Balwant Singh Thakur Jong Soo Jung |
| author_facet | Balwant Singh Thakur Jong Soo Jung |
| author_sort | Balwant Singh Thakur |
| collection | DOAJ |
| description | Fixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in Sobolev spaces Hk,p, for 1<p<∞ and k≥0. |
| format | Article |
| id | doaj-art-cc413f41c97848748d0441522963fd11 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-cc413f41c97848748d0441522963fd112025-02-03T07:24:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251999-01-0122111912910.1155/S0161171299221199Fixed point theorems for generalized Lipschitzian semigroups in Banach spacesBalwant Singh Thakur0Jong Soo Jung1Govt. B. H. S. S. Gariaband, Dist. Raipur, M. P. 493889, IndiaDepartment of Mathematics, Dong-A University, Pusan 604–714, KoreaFixed point theorems for generalized Lipschitzian semigroups are proved in p-uniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp, and in Sobolev spaces Hk,p, for 1<p<∞ and k≥0.http://dx.doi.org/10.1155/S0161171299221199Semitopological semigroupsubmeangeneralized Lipschitzian semigroupp-uniformly convex Banach spaceuniformly normal structure. |
| spellingShingle | Balwant Singh Thakur Jong Soo Jung Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces International Journal of Mathematics and Mathematical Sciences Semitopological semigroup submean generalized Lipschitzian semigroup p-uniformly convex Banach space uniformly normal structure. |
| title | Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces |
| title_full | Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces |
| title_fullStr | Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces |
| title_full_unstemmed | Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces |
| title_short | Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces |
| title_sort | fixed point theorems for generalized lipschitzian semigroups in banach spaces |
| topic | Semitopological semigroup submean generalized Lipschitzian semigroup p-uniformly convex Banach space uniformly normal structure. |
| url | http://dx.doi.org/10.1155/S0161171299221199 |
| work_keys_str_mv | AT balwantsinghthakur fixedpointtheoremsforgeneralizedlipschitziansemigroupsinbanachspaces AT jongsoojung fixedpointtheoremsforgeneralizedlipschitziansemigroupsinbanachspaces |