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Approximation of Fixed Points of C*-Algebra-Multi-Valued Contractive Mappings by the Mann and Ishikawa Processes in Convex C*-Algebra-Valued Metric Spaces

1
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, Iran
2
Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(3), 392; https://doi.org/10.3390/math8030392
Received: 14 February 2020 / Revised: 5 March 2020 / Accepted: 6 March 2020 / Published: 10 March 2020
The aim of the present paper is to state and prove some convergence theorems for the Mann and Ishikawa iteration schemes involving C * -algebra-multi-valued contractive mappings in the setting of convex C * -algebra-valued metric spaces. The convergence theorems of the proposed iterations to a common fixed point of finite and infinite family of such mappings are also established. View Full-Text
Keywords: convex C*-algebra-valued metric space; C*-algebra-multi-valued contractive mapping; Mann iteration; Ishikawa iteration; fixed point convex C*-algebra-valued metric space; C*-algebra-multi-valued contractive mapping; Mann iteration; Ishikawa iteration; fixed point
MDPI and ACS Style

Ghanifard, A.; Parvaneh Masiha, H.; De La Sen, M. Approximation of Fixed Points of C*-Algebra-Multi-Valued Contractive Mappings by the Mann and Ishikawa Processes in Convex C*-Algebra-Valued Metric Spaces. Mathematics 2020, 8, 392.

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