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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

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Adv. Fixed Point Theory 12 (2022), Article ID 1

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

R. A. Rashwan, Saleh Omran, Asmaa Fangary

PDF (149.3 KB) https://doi.org/10.28919/afpt/6830

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.

Published
13 December 2021
Volume
12 (2022)
License
CC BY 3.0

Copyright © 2021 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.

Cite this article

R. A. Rashwan, S. Omran, A. Fangary, Existence and uniqueness of Banach and Kannan fixed point theorems for operator on Hilbert C∗-modules, Adv. Fixed Point Theory 12 (2022), 1. https://doi.org/10.28919/afpt/6830

BibTeX
@article{Rashwan2022,
  author  = {Rashwan, R. A. and Omran, Saleh and Fangary, Asmaa},
  title   = {Existence and uniqueness of Banach and Kannan fixed point theorems for operator on Hilbert C∗-modules},
  journal = {Adv. Fixed Point Theory},
  volume  = {12},
  year    = {2022},
  pages   = {1},
  doi     = {10.28919/afpt/6830}
}