Affiliation:
1. Faculty of Mathematics, K.N. Toosi University of Technology, Tehran, Iran
Abstract
We study some coupled fixed point theorems in C*-algebra-valued Sb-metric
spaces. As applications, existence and uniqueness results for one type of
integral equation x(t) = fE (K1(t, s) + K2(t, s))(f(s, x(s)) + g(s, x(s)))ds
+ h(t), t ? E where E is the Lebesque measurable set and m(E) < +?, and
under some other conditions are given.
Publisher
National Library of Serbia