Existence and uniqueness of Banach and Kannan fixed point theorems for operator on Hilbert C∗-modules

R. A. Rashwan, Saleh Omran, Asmaa Fangary

Abstract


In this paper we introduce some Banach fixed point theorems in operators of Hilbert C∗-modules, based on a definition of valued operator Hilbert C∗-modules normed space. Also We give some examples to clear our definitions. Finally we discuss the existence and uniqueness of the solution of system of operators on Hilbert C∗-modules.

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Published: 2021-12-13

How to Cite this Article:

R. A. Rashwan, Saleh Omran, Asmaa Fangary, Existence and uniqueness of Banach and Kannan fixed point theorems for operator on Hilbert C∗-modules, Adv. Fixed Point Theory, 12 (2022), Article ID 1

Copyright © 2022 R. A. Rashwan, Saleh Omran, Asmaa Fangary. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

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