Common fixed points via implicit contractions on b-metric-like spaces

Volume 10, Issue 4, pp 1524--1537 http://dx.doi.org/10.22436/jnsa.010.04.20

Publication Date: April 20, 2017 Submission Date: February 27, 2016

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Authors

Hassen Aydi - Department of Mathematics, College of Education of Jubail, Imam Abdulrahman Alfaisal University, 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 and Statistics, College of Sciences, King Faisal University, Hafouf, Saudi Arabia. Slah Sahmim - Department of Mathematics and Statistics, College of Sciences, King Faisal University, Hafouf, Saudi Arabia.

Abstract

In this paper, we introduce some generalized nonlinear contractions via implicit functions and \(\alpha\)-admissible pair of mappings. We also provide some common fixed point results for above contractions in the class of b-metric-like spaces. We will derive some consequences and corollaries from our obtained results. Some illustrated examples are presented to make effective the concepts and results.

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Keywords

• Common fixed point
• implicit contraction
• b-metric-like space.

MSC

•  47H10
•  54H25
•  46J10

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