Ulam-Hyers stability for coupled fixed points of contractive type operators
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Authors
Cristina Urs
- Department of Mathematics, Babeş-Bolyai University Cluj-Napoca, Kogălniceanu Street no. 1, 400084, Cluj-Napoca, Romania.
Abstract
In this paper, we present existence, uniqueness and Ulam-Hyers stability results for the coupled fixed points
of a pair of contractive type singlevalued and respectively multivalued operators on complete metric spaces.
The approach is based on Perov type fixed point theorem for contractions in spaces endowed with vector-
valued metrics.
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ISRP Style
Cristina Urs, Ulam-Hyers stability for coupled fixed points of contractive type operators, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 2, 124--136
AMA Style
Urs Cristina, Ulam-Hyers stability for coupled fixed points of contractive type operators. J. Nonlinear Sci. Appl. (2013); 6(2):124--136
Chicago/Turabian Style
Urs, Cristina. "Ulam-Hyers stability for coupled fixed points of contractive type operators." Journal of Nonlinear Sciences and Applications, 6, no. 2 (2013): 124--136
Keywords
- metric space
- coupled fixed point
- singlevalued operator
- vector-valued metric
- Perov type contraction.
MSC
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