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- Title
C*-ALGEBRA-VALUED MODULAR METRIC SPACES AND RELATED FIXED POINT RESULTS.
- Authors
MOEINI, BAHMAN; ANSARI, ARSLAN HOJAT; CHOONKIL PARK; DONG YUN SHIN
- 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.
- Subjects
ALGEBRA; FIXED point theory; NONLINEAR operators; COINCIDENCE theory; LEAST fixed point (Mathematics); INTEGRAL equations
- Publication
Journal of Computational Analysis & Applications, 2019, Vol 27, Issue 1, p211
- ISSN
1521-1398
- Publication type
Article