Common fixed points for $\psi$-Geraghty-Jungck contraction type mappings in Branciari b-metric spaces

Abstract

The main purpose of this paper is to define a class of contraction-type pair of mappings, called psi-Geraghty-Jungck contraction pair, which consists of a Jungck pair of mappings satisfying the Geraghty condition and, furthermore, its contractive inequality is controlled by an altering distance function. For this class of mappings, we discuss the existence and uniqueness of its common fixed points under the weakly compatibility property. These mappings are defined in the setting of the so-called Branciari b-metric spaces.

Keywords

• contraction-type mapping
• common fixed point
• weakly compatible mappings.

References

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