Random Fixed Point Theorem for Weakly Compatible Mappings under Implicit Relation in Cone Random Metric Spaces

Abstract

In this paper, we establish a unique common random fixed p oint t heorem i n c one r andom m etric spaces for four weakly compatible mappings by using an implicit relation. Some corollaries of this theorem for two and three random weakly compatible mappings are obtained. Some examples are given to support our generalization. Our results presented in this paper extend and improve several recent results in the setting of cone random metric spaces.