2020•European Journal of Pure and Applied MathematicsOpen access

Common Fixed Point Results for Set-valued Integral Type Contractions on Metric Spaces with Directed Graph

Saadia Benchabane, Smaïl Djebali, Talat Nazir

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Abstract

The aim of this paper is to establish new common fixed pointresults for multivalued integral type contraction mappings on a family of sets endowed with a graph. The obtained results generalize several recent ones. An example of application is included to illustrate the main existence theorem.

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The aim of this paper is to establish new common fixed pointresults for multivalued integral type contraction mappings on a family of sets endowed with a graph. The obtained results generalize several recent ones. An example of application is included to illustrate the main existence theorem.

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Available abstract

The aim of this paper is to establish new common fixed pointresults for multivalued integral type contraction mappings on a family of sets endowed with a graph. The obtained results generalize several recent ones. An example of application is included to illustrate the main existence theorem.

Key concepts: Mathematics, Metric space, Graph, Fixed point, Discrete mathematics, Contraction (grammar), Type (biology), Fixed-point theorem

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