Abstract
Abstract Altun et al. explored the existence of fixed points for multivalued F F -contractions and proved some fixed point theorems in complete metric spaces. This paper extended the results of Altun et al. in partial metric spaces and proved fixed point theorems for multivalued F F -contraction mappings. Some illustrative examples are provided to support our results. Moreover, an application for the existence of a solution of an integral equation is also enunciated, showing the materiality of the obtained results.
Highlights
Introduction and preliminariesMetric fixed point theory has been the centre of extensive research for several researchers
Fixed point theory has become an important tool for solving many nonlinear problems related to science and engineering because of its applications
In 1969, the study of fixed points for multivalued mappings on complete metric spaces was introduced by Nadler [8]
Summary
Metric fixed point theory has been the centre of extensive research for several researchers. [3] Let (X, d) be a complete metric space and T : X → K(X) be a multivalued F -contraction mapping, T has a fixed point, where K(X) is a compact subset of a metric space (X, d). Acar et al [9] extended the work of Altun et al [3] and proved a fixed point theorem for generalized multivalued F -contraction mappings on complete metric spaces. [20] Let CBp(X) denote the collection of all non-empty bounded and closed subsets of a partial metric space (X, p). This paper intends to extend the notion of multivalued F -contraction mappings of Altun et al [3] to a complete partial metric space
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