On common fixed points for (\(\alpha,\psi\))-contractions and generalized cyclic contractions in b-metric-like spaces and consequences

Volume 9, Issue 5, pp 2492--2510 http://dx.doi.org/10.22436/jnsa.009.05.48

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Authors

Hassen Aydi - Department of Mathematics, College of Education of Jubail, University of Dammam, P. O: 12020, Industrial Jubail 31961, Saudi Arabia. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan. Abdelbasset Felhi - Department of Mathematics, College of Sciences, King Faisal University, Al-Hassa, Saudi Arabia. Slah Sahmim - Department of Mathematics. College of Sciences, King Faisal University, Al-Hassa, Saudi Arabia.

Abstract

In this paper, using the concept of \(\alpha\)-admissible pairs of mappings, we prove several common fixed point results in the setting of b-metric-like spaces. We also introduce the notion of generalized cyclic contraction pairs and establish some common fixed results for such pairs in b-metric-like spaces. Some examples are presented making effective the new concepts and results. Moreover, as consequences we prove some common fixed point results for generalized contraction pairs in partially ordered b-metric-like spaces.

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Keywords

• Common fixed point
• b-metric-like space
• cyclic contraction
• admissible mapping.

MSC

•  47H10
•  54H25

References

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