Title of article :
SOME RESULTS ON UNIFORMLY LIPSCHITZIAN MAPPINGS IN METRIC SPACES AND APPLICATIONS
Author/Authors :
AGHAJANI, ASADOLLAH iran university of science and technology - School of Mathematics, تهران, ايران , MOSLEH TEHRANI, ALIREZA iran university of science and technology - School of Mathematics, تهران, ايران
Abstract :
In this work, we obtain a useful property of uniformly Lipschitzian mappings, then we give some suitable conditions under which uniformly Lipschitzian mappings have a fixed point without limiting conditions on the Lipschitz constant L in metric spaces. As an application of our main results we investigate the solvability of Fredholm integral equations of second kind. Some illustrative examples are included to show the usefulness and applicability of results.
Keywords :
fixed , point theorems , uniformly Lipschitzian mappings , nonexpansive mappings , Fredholm integral equations
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
