Edge Theoretic Extended Contractions and Their Applications

Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of...

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Autores principales: R. Rajagopalan, Ekta Tamrakar, Fahad. S. Alshammari, H. K. Pathak, Reny George
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/d7e2cbd74f3e438a8d8163aafbc9c661
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Sumario:Edge theoretic extended contractions are introduced and coincidence point theorems and common fixed-point theorems are proved for such contraction mappings in a metric space endowed with a graph. As further applications, we have proved the existence of a solution of a nonlinear integral equation of Volterra type and given a suitable example in support of our result.