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

Authors

Kh. Jahedi Associate Professor, Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

M. Avar Ph. D. Student, Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran

M. J. Medipour Associate Professor, Department of Mathematics, Shiraz university of technology, Shiraz,71555-313-Iran

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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