Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
Balwant Singh Thakur1and Jong Soo Jung2
Received12 Feb 1997
Revised22 Jul 1997
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 Lp spaces, in Hardy space Hp, and in Sobolev spaces Hk,p, for 1<p<∞ and k≥0.