APPROXIMATING FIXED POINTS OF THE NEW SP*-ITERATION FOR GENERALIZED α-NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

Authors

  • S. Temir Department of Mathematics Art and Science Faculty Adiyaman University, 02040, Adiyaman, Turkey
  • O. Korkut Department of Mathematics Art and Science Faculty Adiyaman University, 02040, Adiyaman, Turkey

Keywords:

Fixed point, iteration process, Δ−convergence, CAT(0) space, generalized α-nonexpansive mappings

Abstract

In this paper, we study the convergence of the newly defined SP*-iteration
to fixed point for the generalized α-nonexpansive mappings in CAT(0) spaces. Our results improve and extend some recently results in the literature of fixed point theory in CAT(0) spaces.

Additional Files

Published

12/17/2021

Issue

Vol. 12 No. 2 (2021): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under aย Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.