SOME FIXED POINT RESULTS FOR UNIFORMLY QUASI-LIPSCHITZIAN MAPPINGS IN CONVEX METRIC SPACES

ISA  YILDIRIM; SAFEER HUSSAIN  KHAN; MURAT  OZDEMIR

SOME FIXED POINT RESULTS FOR UNIFORMLY QUASI-LIPSCHITZIAN MAPPINGS IN CONVEX METRIC SPACES

Authors

ISA YILDIRIM Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey
SAFEER HUSSAIN KHAN Department of Mathematics, Statistics and Physics, Qatar University, Doah 2713, Qatar
MURAT OZDEMIR Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240,Turkey

Keywords:

Uniformly quasi-Lipschitzian mappings, Common fixed points, Convex metric spaces

Abstract

In this paper, an iteration process for approximating common fixed points of two uniformly quasi Lipschitzian mappings in convex metric spaces is defined. Without using "the rate of convergence condition" $\sum_{n=1}^\infty(k_n-1)<\infty$ associated with asymptotically (quasi-)nonexpansive mappings. some convergence theorems are also proved. The results presented generalize, improve and unify some recent results.