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2021•SymmetryOpen access

Rational Type Contractions in Extended b-Metric Spaces

Huaping Huang, Y. Mahendra Singh, Mohammad Saeed Khan, Stojan Radenović

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Abstract

In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

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What this paper is about

In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

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Available abstract

In this paper, we establish the existence of fixed points of rational type contractions in the setting of extended b-metric spaces. Our results extend considerably several well-known results in the existing literature. We present some nontrivial examples to show the validity of our results. Furthermore, as applications, we obtain the existence of solution to a class of Fredholm integral equations.

Key concepts: Metric space, Mathematics, Type (biology), Class (philosophy), Pure mathematics, Metric (unit), Mathematical analysis, Applied mathematics

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