Fixed Point Results for F-Contractive Mappings of Hardy-Rogers-Type

By M. Cosentino, Pasquale Vetroa. 2014

171 citations recorded by the source corpus.

Recently, Wardowski introduced a new concept of contraction and proved a fixed point theorem which generalizes Banach contraction principle. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for self-mappings on complete metric spaces or complete ordered metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/0e1eea36575dc226b2bd5e3145dc90f3df182177

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In Geometry and Topology

1. Nabil Mlaiki
2. Nihal Yilmaz Özgür
3. Nihal Tas

Citations in the corpus

• A survey: F-contractions with related fixed point results (2020, unknown): “Cosentino, Vetro (2014) [33] Theorem 3.”
• New Types of Fc-Contractions and the Fixed-Circle Problem (2018, methodology): “Motivated by the above studies, we present some new fixed-circle theorems using the ideas given in [10,11].”