Annals of Functional Analysis

Strong convergence theorems by hybrid methods for semigroups of not necessarily continuous mappings in Hilbert spaces

Wataru Takahashi and Makoto Tsukada

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Abstract

In this paper, we prove strong convergence theorems by two hybrid methods for semigroups of not necessarily continuous mappings in Hilbert spaces. Using these results, we prove strong convergence theorems for discrete semigroups generated by generalized hybrid mappings and semigroups of nonexpansive mappings in Hilbert spaces.

Article information

Source
Ann. Funct. Anal., Volume 7, Number 1 (2016), 61-75.

Dates
Received: 18 November 2014
Accepted: 25 March 2015
First available in Project Euclid: 6 November 2015

Permanent link to this document
https://projecteuclid.org/euclid.afa/1446819349

Digital Object Identifier
doi:10.1215/20088752-3320340

Mathematical Reviews number (MathSciNet)
MR3449340

Zentralblatt MATH identifier
1337.47076

Subjects
Primary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]
Secondary: 47H20: Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07]

Keywords
generalized hybrid mapping nonexpansive semigroup invariant mean fixed point hybrid method

Citation

Takahashi, Wataru; Tsukada, Makoto. Strong convergence theorems by hybrid methods for semigroups of not necessarily continuous mappings in Hilbert spaces. Ann. Funct. Anal. 7 (2016), no. 1, 61--75. doi:10.1215/20088752-3320340. https://projecteuclid.org/euclid.afa/1446819349


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References

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