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

SEYIT  TEMIR; OZNUR  KORKUT

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

Authors

SEYIT TEMIR Department of Mathematics Art and Science Faculty Adiyaman University, 02040, Adiyaman, Turkey
OZNUR KORKUT Department of Mathematics Art and Science Faculty Adiyaman University, 02040, Adiyaman, Turkey

Keywords:

Fixed point, iteration process, $\Delta-$convergence, $CAT(0)$ space, generalized $\alpha-$nonexpansive mappings

Abstract

In this paper, we study the convergence of the newly defined SP*-iteration
to fixed point for the generalized $\alpha-$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.