Fixed point results for cyclic mappings in modular metric space

Authors

Mehdi Asadi Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran

Keywords:

Modular metric space, Fixed point

Abstract

In this paper, we prove the existence and uniqueness of fixed points for cyclic mappings in modular metric space. We obtain the results for interpolative Kannan type cyclic contractions when the sum of the interpolative exponents is less than and greater than one.

References

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Edraoui, M. and Semami, S., Fixed points results for various types of interpolative cyclic contraction. Applied General Topology, 24(2) (2023), 247-252.

Karapinar, E. and Erhan, I.M., Best proximity point on different type contractions. Appl. Math. Inf. Sci, 3(3)(2011), 342-353.