Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces

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.

Bibliographic Details
Main Authors: Balwant Singh Thakur, Jong Soo Jung
Format: Article
Language:English
Published: Hindawi Limited 1999-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Semitopological semigroup
submean
generalized Lipschitzian semigroup
p-uniformly convex Banach space
uniformly normal structure.
Online Access:http://dx.doi.org/10.1155/S0161171299221199
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spelling doaj-cc413f41c97848748d0441522963fd112020-11-24T22:46:31ZengHindawi LimitedInternational 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.
collection DOAJ
language English
format Article
sources DOAJ
author Balwant Singh Thakur
Jong Soo Jung
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.
author_facet Balwant Singh Thakur
Jong Soo Jung
author_sort Balwant Singh Thakur
title Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
title_short 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_sort fixed point theorems for generalized lipschitzian semigroups in banach spaces
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 1999-01-01
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.
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
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