Some Common Fixed Points Theorems of Four Weakly Compatible Mappings in Metric Spaces

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Yusra Jarallah Ajeel
Samira Naji Kadhim

Abstract

                 In this paper, we proved coincidence points theorems for two pairs mappings which are defined on nonempty subset   in metric spaces by using condition (1.1). As application, we established a unique common fixed points theorems for these mappings by using the concept weakly compatible (R-weakly commuting) between these mappings.

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How to Cite
1.
Ajeel YJ, Kadhim SN. Some Common Fixed Points Theorems of Four Weakly Compatible Mappings in Metric Spaces. Baghdad Sci.J [Internet]. [cited 2021Mar.4];18(3):0543. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4637
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Author Biography

Yusra Jarallah Ajeel, Department of Mathematics, College of Science, Al-Mustansiriyah University, Baghdad, Iraq.

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References

Beg I, Abbas M. Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition. Fixed Point Theory Appl. 2006 Dec 1;2006(1):74503..

Jungck G, Hussain N. Compatible maps and invariant approxima- tions. J. Math. Model. Algorithms. 2007; 325(2): 1003-1012.

Jungck G. Common fixed points for commuting and compatible maps on compacta, Proc. Amer .Math.Soc. 1988; 103: 977-983.

Jungck G. Common fixed points for non-continuous non-self maps on non- metric spaces. Far East J. Math. Sci. 1996; 4: 199-215.

Jungck, G. Compatible mappings and common fixed points. Int.J. Math. Sci. 1986;9(4):771-779.

Pant RP. Common fixed points of non-commuting map- pings. J.Math Anal.Appl. 1994; 188: 436-440.

Chauhan S, Imdad M, Kadelburg Z, Vetro C. Coincidence and common fixed points of weakly reciprocally continuous and compatible hy- brid mappings via an implicit relation and an application. Sarajevo J.Math. 2015;11(1): 73-84.

Xu S, Chen S, Aleksik S. Fixed point theorems for generalized quasi-contraction in cone b-metric spaces over Banach algebras without the assumption of normality with applications. J.Nonlinear Anal. Appl. 2017; 8(2)6: 335-353.

Tomar A, Sharma R. Some coincidence and common fixed point theorems concerning F-contraction and applications. Journal The International mathematical virtual institute. 2018; 8:181-198.

Mitrovic Z, Aydi H, Hussain N, Mukheimer A. Reich, Jungck and Berinde common fixed point results on F-metric spaces and an application. J. Math. 2019; 7(5).

Akram M, Shamaila W. A coincident point and common fixed point theorem for weakly compatible mappings in partial metric spaces. J.Nonlinear Sci. Appl. 2015; 8:184-192.

Hussain N, Rhoades BE. Cq commuting maps and invariant approximations. JFPTA. 2006; 2006:1-9.

Tomar A, Upadhyay S. Coincidence and common fixed point theorems for faintly compatible maps. J.App.Eng.Math. 2017; 7(1): 25-32.

Choudhury A, Som T. Fixed points for Quasi contraction maps on complete metric spaces JMCS J. Math. Computer Sci. 2016;16: 26-32.