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COUPLED FIXED POINT THEOREMS FOR SYMMETRIC CONTRACTIONS IN b-METRIC SPACES WITH APPLICATIONS TO OPERATOR EQUATION SYSTEMS.
- Source :
- Fixed Point Theory; 2016, Vol. 17 Issue 2, p457-476, 20p
- Publication Year :
- 2016
-
Abstract
- In this paper, we will consider coupled fixed point problems in b-metric spaces for single-valued operators satisfying a symmetric contraction condition. On one hand, existence and uniqueness of the solution and, on the other hand, data dependence, well-posedness, Ulam-Hyers stability, limit shadowing property of the coupled fixed point problem are discussed. The approach is based on the application of a Ran-Reurings type fixed point theorem for an appropriate operator on the Cartesian product space. Some applications to a system of integral equations and to a periodic boundary value problems are also given. [ABSTRACT FROM AUTHOR]
- Subjects :
- FIXED point theory
METRIC spaces
OPERATOR equations
Subjects
Details
- Language :
- English
- ISSN :
- 15835022
- Volume :
- 17
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Fixed Point Theory
- Publication Type :
- Academic Journal
- Accession number :
- 118727182