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http://dx.doi.org/10.14317/jami.2017.313

NON-CONVEX HYBRID ALGORITHMS FOR A FAMILY OF COUNTABLE QUASI-LIPSCHITZ MAPPINGS CORRESPONDING TO KHAN ITERATIVE PROCESS AND APPLICATIONS

NAZEER, WAQAS (Division of Science and Technology, University of Education)
MUNIR, MOBEEN (Division of Science and Technology, University of Education)
NIZAMI, ABDUL RAUF (Division of Science and Technology, University of Education)
KAUSAR, SAMINA (Division of Science and Technology, University of Education)
KANG, SHIN MIN (Department of Mathematics and RINS, Gyeongsang National University)

Publication Information

Journal of applied mathematics & informatics / v.35, no.3_4, 2017 , pp. 313-321 More about this Journal

Abstract

In this note we establish a new non-convex hybrid iteration algorithm corresponding to Khan iterative process [4] and prove strong convergence theorems of common fixed points for a uniformly closed asymptotically family of countable quasi-Lipschitz mappings in Hilbert spaces. Moreover, the main results are applied to get the common fixed points of finite family of quasi-asymptotically nonexpansive mappings. The results presented in this article are interesting extensions of some current results.

Keywords

Hybrid algorithm; quasi-Lipschitz mapping; non-expansive mapping; quasi-nonexpansive mapping; asymptotically quasi-nonexpansive mapping;

Citations & Related Records

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