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Your search keyword '"Integral equation"' showing total 2 results
2 results on '"Integral equation"'

1. C*-ALGEBRA-VALUED MODULAR METRIC SPACES AND RELATED FIXED POINT RESULTS.

Author

MOEINI, BAHMAN, ANSARI, ARSLAN HOJAT, CHOONKIL PARK, and DONG YUN SHIN

Subjects
*METRIC spaces, *FIXED point theory, *MATHEMATICAL mappings, *INTEGRAL equations, *ALGEBRA
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. [ABSTRACT FROM AUTHOR]

Published
2019

2. 𝒥ℋℛ-Operator Pairs in C*-Algebra-Valued Modular Metric Spaces and Related Fixed Point Results with Application.

Author

Moeini, Bahman, Ansari, Arslan Hojat, and Park, Choonkil

Subjects
*METRIC spaces, *GENERALIZED spaces, *INTEGRAL equations, *MATHEMATICAL mappings, *FIXED point theory, *MATHEMATICS theorems
Abstract

In this paper, we introduce and define a concept of -operator pair as a pair of non-commuting mappings in a C*-algebra-valued modular metric space. Next, some common fixed point theorems are established for such mappings. Also, to support and elaborate our results, some examples are given and an application is provided for a system of integral equations. [ABSTRACT FROM AUTHOR]

Published
2018
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