Attractive points and convergence theorems for normally generalized hybrid mappings in CAT(0) spaces

Abstract

Abstract We prove △-convergence theorems of Mann type to the set of attractive points of normally generalized hybrid mappings in $\operatorname {CAT}(0)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>CAT</mml:mo> <mml:mo>(</mml:mo> <mml:mn>0</mml:mn> <mml:mo>)</mml:mo> </mml:math> spaces. Consequently, our main result can be applied to the result of Takahashi, Wong and Yao (Journal of Nonlinear and Convex Analysis 15:1087-1103, 2014, Theorem 5.1).