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On quasi-contraction mappings of Ćirić and Fisher type via ω-distance

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Abstract Kada, Suzuki, and Takahashi introduced and studies the concept of ω- distance in fixed point theory. In this paper, we generalize and unify Ćirić’ and Fisher fixed points results… Click to show full abstract

Abstract Kada, Suzuki, and Takahashi introduced and studies the concept of ω- distance in fixed point theory. In this paper, we generalize and unify Ćirić’ and Fisher fixed points results for quasi-contractions on metric space to ω-distance on complete metric spaces. We also extend some results of Kada, Suzuki and Takahashi, and Suzuki. Our methods of proofs are new and even simpler than the corresponding methods in metric spaces.

Keywords: iri fisher; distance; mappings iri; contraction mappings; fisher type; quasi contraction

Journal Title: Quaestiones Mathematicae
Year Published: 2019

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