A Ciric-type common fixed point theorem in complete b-metric spaces

Subject Areas : Statistics

M. Avar ¹ , Kh. Jahedi ² , M. J. Medipour ³

1 - Ph. D. Student, Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
2 - Associate Professor, Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran
3 - Associate Professor, Department of Mathematics, Shiraz university of technology, Shiraz,71555-313-Iran

Received: 2018-11-01 Accepted : 2019-02-12 Published : 2019-02-20

Keywords: فضای &amp, ndash, bمتریک, نقطه ثابت مشترک, خودنگاشت‌های سازگار, خودنگاشت‌های به طور ضعیف سازگا,

Abstract :

In this paper, we define the concept of compatible and weakly compatible mappings in b-metric spaces and inspired by the Ciric and et. al method, we produce appropriate conditions for given the unique common fixed point for a family of the even number of self-maps with together another two self-maps in a complete b-metric spaces. Also, we generalize this common fixed point theorem for a sequence with together an even numbers of self-maps in complete b-metric spaces.

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