Common fixed point theorems for non-compatible self-maps in b-metric spaces

Volume 8, Issue 6, pp 1022--1031 http://dx.doi.org/10.22436/jnsa.008.06.13

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Authors

Zhongzhi Yang - Accounting School, Zhejiang University of Finance and Economics, Hangzhou, China. Hassan Sadati - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr , Iran. Shaban Sedghi - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran. Nabi Shobe - Department of Mathematics, Babol Branch, Islamic Azad University, Babol, Iran.

Abstract

By using R-weak commutativity of type (Ag) and non-compatible conditions of self-mapping pairs in b-metric space, without the conditions for the completeness of space and the continuity of mappings, we establish some new common fixed point theorems for two self-mappings. Our results differ from other already known results. An example is provided to support our new result.

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Keywords

• b-metric space
• common fixed point theorem
• R-weakly commuting mappings of type (Ag)
• non-compatible mapping pairs.

MSC

•  47H10
•  54H25

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