English

Common coupled fixed point theorems in $C^*$-algebra-valued metric spaces

Operator Algebras 2020-10-06 v2 Functional Analysis

Abstract

In this paper, we prove some common coupled fixed point theorems for mappings satisfying different contractive conditions in the context of complete CC^*-algebra-valued metric spaces. Moreover, the paper provides an application to prove the existence and uniqueness of a solution for Fredholm nonlinear integral equations.

Keywords

Cite

@article{arxiv.1601.07168,
  title  = {Common coupled fixed point theorems in $C^*$-algebra-valued metric spaces},
  author = {Tianqing Cao and Qiaoling Xin},
  journal= {arXiv preprint arXiv:1601.07168},
  year   = {2020}
}

Comments

12 pages. arXiv admin note: text overlap with arXiv:1506.05545 by other authors

R2 v1 2026-06-22T12:37:19.920Z