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C*-algebra-valued modular metric spaces and related fixed point results
- Authors
- Moeini, B; Ansari, AH; Park, C; Shin, DY
- Issue Date
- Aug-2019
- Publisher
- Kluwer Academic Publishers
- Keywords
- modular metric space; C ∗ -algebra-valued modular metric space; common fixed point; occasionally weakly compatible; integral equation
- Citation
- Journal of Computational Analysis and Applications, v.27, no.2, pp 211 - 220
- Pages
- 10
- Indexed
- SCOPUS
- Journal Title
- Journal of Computational Analysis and Applications
- Volume
- 27
- Number
- 2
- Start Page
- 211
- End Page
- 220
- ISSN
- 1521-1398
1572-9206
- Abstract
- In this paper, a concept of C*-algebra-valued modular metric space is introduced which is a generalization of a modular metric space of Chistyakov (Folia Math. 14 (2008), 3-25). Next, some common fixed point theorems are proved for generalized contraction type mappings on such spaces. Also, to support of our results an application is provided for existence and uniqueness of solution for a system of integral equations.
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