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

Azadeh Ghanifard, Hashem Parvaneh Masiha and Manuel De La Sen
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Azadeh Ghanifard: Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, Iran
Hashem Parvaneh Masiha: Faculty of Mathematics, K. N. Toosi University of Technology, Tehran 16569, Iran
Manuel De La Sen: Institute of Research and Development of Processes University of the Basque Country, 48940 Leioa, Spain

Mathematics, 2020, vol. 8, issue 3, 1-9

Abstract: 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.

Keywords: convex C *-algebra-valued metric space; C *-algebra-multi-valued contractive mapping; Mann iteration; Ishikawa iteration; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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