Ulam-Hyers stability for coupled fixed points of contractive type operators

Volume 6, Issue 2, pp 124--136 http://dx.doi.org/10.22436/jnsa.006.02.08

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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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Keywords

• metric space
• coupled fixed point
• singlevalued operator
• vector-valued metric
• Perov type contraction.

MSC

•  47H10
•  54H25

References

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