EXISTENCE AND MEAN APPROXIMATION OF FIXED POINTS OF GENERALIZED HYBRID NON-SELF MAPPINGS IN HILBERT SPACES

Toshiharu Kawasaki; Tetsuo Kobayashi

doi:10.32219/isms.77.1_13

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Keywords: Fixed point theorem, mean convergence theorem, Hilbert space, non-self mapping, generalied hybrid mapping, widely generalized mapping, widely more generalized mapping

JOURNAL FREE ACCESS

2014 Volume 77 Issue 1 Pages 13-26

DOI https://doi.org/10.32219/isms.77.1_13

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Abstract

In this paper, we prove a fixed point theorem for widely more generalized hybrid non-self mappings in Hilbert spaces. Furthermore, we prove mean convergence theorems of Baillon’s type for widely more generalized hybrid non-self mappings in a Hilbert space.

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