Common Fixed-Point Theorems and Applications in Complex Valued b- Metric Spaces

Objective: The purpose of this paper is to prove some common fixed-point theorems satisfying the rational type contractive condition in frame work complex valued b metric spaces. Methodology: Some well-known result we studied –metric spaces and replaced constant by control function obtain new fixed point also proving uniqueness for a pair mappings. Findings: Results based on are derived context –b improved inequality, which was version Aiman A Mukheimer(1), with an application shows applicability validity our main result. Novelty: This study revealed Common replacing contraction through function, suitable application. Keywords: point; Partial order; Cauchy sequence; ComplexValued space; weakly compatible mappings