Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces
Balwant Singh Thakur, Jong Soo Jung · International Journal of Mathematics and Mathematical Sciences · 1999
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.