Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces

Balwant Singh Thakur and Jong Soo Jung

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-11

Abstract:

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 L p spaces, in Hardy space H p , and in Sobolev spaces H k , p , for 1 < p < ∞ and k ≥ 0 .

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:343971

DOI: 10.1155/S0161171299221199

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