Fixed point theorems in the generalized rational type of C-class functions in b-metric spaces with Application to Integral Equation

• Autores: Mehdi Asadi, Mehdi Afshar
• Localización: 3c Empresa: investigación y pensamiento crítico, ISSN-e 2254-3376, Vol. 11, Nº. 2, 2022, págs. 64-74
• Idioma: inglés
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• Resumen

  • In this paper, we study some results of existence and uniqueness of fixed points for a C-class of mappings satisfying an inequality of rational type in b-metric spaces. After definition of C-class functions covering a large class of contractive conditions by Ansari [2]. Our results extend very recent results in the literature; as well as Khan in [14] and later Fisher in [9] gave a revised improved version of Khan’s result and Piri in [17] a new generalization of Khan’s Theorem. At the end, we present an example of finding solutions for an integral equation.