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

Author:

Ghanifard Azadeh,Parvaneh Masiha Hashem,De La Sen ManuelORCID

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.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference17 articles.

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2. C*-Algebras by Example, Fields Institute Monographs;Davidson;Am. Math. Soc.,1996

3. Banach Algebra Techniques in Operator Theory;Douglas,1972

4. "Equation missing" No EquationSource Format="TEX", only image and EquationSource Format="MATHML" -algebra-valued metric spaces and related fixed point theorems

5. Multi-valued contraction mappings

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