A Fixed Point Theorem for Proinov Mappings With a Contractive Iterate

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Abstract

In this paper, we consider the fixed point theorem for Proinov mappings with a contractive iterate at a point. In other words, we combine and unify the basic approaches of Proinov and Sehgal in the framework of the complete metric spaces. We consider examples to illustrate the validity of the obtained result.

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Keywords

Contractive Iterate At A Point, Proinov Mappings, Fixed Point Theorems, 54H25, 47H09, 47H10, Proinov mappings, Fixed-point and coincidence theorems (topological aspects), contractive iterate at a point, Complete metric spaces, Special maps on metric spaces, fixed point theorems

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Citation

Karapınar, Erdal; Fulga, Andreea. (2023). "A fixed point theorem for Proinov mappings with a contractive iterate", Applied Mathematics-A Journal Of Chinese Universities Series B, Vol. 38, No. 3, pp. 403-412.

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5

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38

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3

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403

End Page

412
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