A unified algorithm for finding a fixed point of demicontractive mappings and its application to split common fixed point problem-Reference-Cited by-同舟云学术

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A unified algorithm for finding a fixed point of demicontractive mappings and its application to split common fixed point problem

Published:2022-10 Issue:4 Volume:116 Page:
ISSN:1578-7303
Container-title:Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
language:en
Short-container-title:Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat.

Author:

Saejung Satit^ORCID,Kraikaew Rapeepan^ORCID

Funder

National Research Council of Thailand and Khon Kaen University

Fundamental Fund of Khon Kaen University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1007/s13398-022-01336-z.pdf

Reference19 articles.

1. Aoyama, K., Kimura, Y., Takahashi, W., Toyoda, M.: Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space. Nonlinear Anal. 67(8), 2350–2360 (2007). https://doi.org/10.1016/j.na.2006.08.032

2. Boonchari, D., Saejung, S.: Construction of common fixed points of a countable family of $$\lambda $$-demicontractive mappings in arbitrary Banach spaces. Appl. Math. Comput. 216(1), 173–178 (2010). https://doi.org/10.1016/j.amc.2010.01.027

3. Bauschke, H.H.: The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space. J. Math. Anal. Appl. 202(1), 150–159 (1996). https://doi.org/10.1006/jmaa.1996.0308

4. Bruck, R.E., Reich, S.: Nonexpansive projections and resolvents of accretive operators in Banach spaces. Houston J. Math. 3, 459–470 (1977)

5. Byrne, C.: A unified treatment of some iterative algorithms in signal processing and image reconstruction. Inverse Probl. 20(1), 103–120 (2004)

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