SOME APPLICATIONS OF MAIA'S FIXED POINT THEOREM IN THE CASE OF OPERATORS WITH VOLTERRA PROPERTY WITH RESPECT TO A SUBINTERVAL

摘要

The aim of this paper is to improve some fixed point results given by I.A. Rus in (On a fixed point theorem of Maia, Studia Univ. Babes,-Bolyai Math., 22(1977), 40-42), (Basic problem Napoca, 112-115) and (Data dependence of the fixed points in a set with two metrics, Fixed Point Theory, 8(2007), no. 1, 115-123), by applying, instead of contraction principle, some variants of Maia's fixed point theorem.