Exponential Type Interpolative Contraction Mapping Theorems for the Kannan, Berinde Weak, and Ciric-Reich-Rus Operators in Metric Spaces with Application

  • Clement Boateng Ampadu Independent Researcher
Keywords: interpolative Kannan contraction, interpolative Berinde weak contraction, interpolative Ciric-Reich-Rus contraction, Fredholm integral equation

Abstract

In this paper, we introduce the notion of an exponential interpolative type contraction operator, and prove the Kannan, Berinde weak, and Ciric-Reich-Rus fixed point theorems for such operators in the setting of metric spaces. Finally, we apply the exponential interpolative Kannan contraction mapping theorem to the Fredholm integral equation.

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References

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Published
2026-03-06
How to Cite
Ampadu, C. B. (2026). Exponential Type Interpolative Contraction Mapping Theorems for the Kannan, Berinde Weak, and Ciric-Reich-Rus Operators in Metric Spaces with Application. Earthline Journal of Mathematical Sciences, 16(2), 299-306. https://doi.org/10.34198/ejms.16226.23.299306