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

Archives › Volume 9, Number 2 (2019)

Adv. Fixed Point Theory 9 (2019), 165–177

Some common coupled fixed point theorems for generalized contraction mappings in C∗ algebras-valued b-metric spaces

X. Yang, Q. Yuan

Abstract

In this paper, we establish the existence of common coupled fixed point and prove common coupled fixed point theorems for generalized contractive mappings in C∗ -algebras-valued b-metric spaces. Our results generalize some known results in C∗ -algebras-valued metric spaces.

Published
1 April 2019
Volume
9 (2019)
License
CC BY 3.0

Copyright © 2019 X. Yang, Q. Yuan. 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

X. Yang, Q. Yuan, Some common coupled fixed point theorems for generalized contraction mappings in C∗ algebras-valued b-metric spaces, Adv. Fixed Point Theory 9 (2019), 165–177. https://doi.org/10.28919/afpt/3925

BibTeX
@article{Yang2019,
  author  = {Yang, X. and Yuan, Q.},
  title   = {Some common coupled fixed point theorems for generalized contraction mappings in C∗ algebras-valued b-metric spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {9},
  year    = {2019},
  pages   = {165--177},
  doi     = {10.28919/afpt/3925}
}