English

Common fixed point theorems in C*-algebra-valued b-metric spaces endowed with a graph and applications

Functional Analysis 2017-08-01 v1

Abstract

In this paper, we equip a C*-algebra-valued b-metric spaces with a graph G = (V,E) and establish some common fixed point theorems. Also, some examples in support of our main results are provided. Finally, as applications, existence and uniqueness of solution for a type of operator equation and an integral equation are discussed.

Keywords

Cite

@article{arxiv.1707.09906,
  title  = {Common fixed point theorems in C*-algebra-valued b-metric spaces endowed with a graph and applications},
  author = {Bahman Moeini and Arsalan Hojat Ansari},
  journal= {arXiv preprint arXiv:1707.09906},
  year   = {2017}
}

Comments

17 pages