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The purpose of this paper is to introduce the class of R-enrichedinterpolative Kannan pair and proved a common fixed point result in the contextof R-complete convex metric spaces. Some examples are presented to support theconcepts introduced herein. Moreover, we study the well-posedness, limitshadowing property and Ulam-Hyers stability of the mappings introduced herein.Our result extend and generalize several comparable results in the existingliterature.

Fixed point results in R-enriched interpolative Kannan pair in R-Convex metric spaces