Generalized \(\alpha-\psi\) contractive mappings in partial b-metric spaces and related fixed point theorems

Volume 9, Issue 5, pp 3255--3278 http://dx.doi.org/10.22436/jnsa.009.05.113

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Authors

Xianbing Wu - Department of Mathematics, Yangzte Normal University, Fuling, Chongqing 408000, P. R. China.

Abstract

In this paper, we introduce some concepts in partial b-metric spaces. We establish fixed point theorems for some new generalized \(\alpha-\psi\) type contractive mappings in the setting of partial b-metric spaces. Some examples are presented to illustrate our obtained results. Finally, we show that the results generalize some recent results.

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Keywords

• Contractive mapping
• partial b-metric space
• fixed point theorem.

MSC

•  47H10
•  54H25.

References

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