On convergence of orbits to a fixed point for widely more generalized hybrid mappings. (English) Zbl 06820449

Kawasaki, Toshiharu

Nihonkai Math. J. 27, No. 1-2, 89-97 (2016).

Summary: The concept of widely more generalized hybrid mapping introduced by Kawasaki and Takahashi in [6] in the case of Hilbert spaces. We also use this definition in the case of Banach spaces. In this paper, we discuss some strong convergence theorems of orbits to a fixed point for widely more generalized hybrid mappings.

MSC:

47H10

Fixed-point theorems

Keywords:

fixed point theorem; strong convergence; widely more generalized hybrid mapping; Banach space; Hilbert space