On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory

On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory

We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number...

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Veröffentlicht in:Journal of function spaces 2017-01, Vol.2017 (2017), p.1-7
Hauptverfasser: Alharbi, Areej S. S., Karapinar, Erdal, Alsulami, Hamed H.
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Fixed point theory
Fixed points (mathematics)
Functional equations
Functions
Mappings (Mathematics)
Mathematical research
Metric spaces
Operators (mathematics)
Simulation
Theorems
Uniqueness
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Beschreibung
Zusammenfassung:We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of complete b-metric spaces. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature.
ISSN:2314-8896
2314-8888
DOI:10.1155/2017/2068163