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

Authors

  • I. Yildirim Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240, Turkey
  • S. Khan Department of Mathematics, Statistics and Physics, Qatar University, Doah 2713, Qatar
  • M. Ozdemir Department of Mathematics, Faculty of Science, Ataturk University, Erzurum, 25240,Turkey

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.

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Published

2012-09-08

How to Cite

Yildirim, I., Khan, S., & Ozdemir, M. (2012). SOME FIXED POINT RESULTS FOR UNIFORMLY QUASI-LIPSCHITZIAN MAPPINGS IN CONVEX METRIC SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 4(2), 143-148. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/109

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Section

Research Article