Abstract
In this paper we give new and much shorter proofs of Boyd-Wong and Meir-Keeler type results. Also, we define a new form of Boyd-Wong type contraction mappings using simulation functions and obtain some sufficient conditions for the existence and uniqueness of a fixed point for such class of mappings in the setting of metric spaces. Also, we present some results regarding the property $P$ for these well-known types of self-mappings.
Acknowledgment
The authors are thankful to the learned referee for valuable suggestions.
Citation
Suzana Aleksić. Sumit Chandok. Stojan Radenović. "Simulation functions and Boyd-Wong type results." Tbilisi Math. J. 12 (1) 105 - 115, January 2019. https://doi.org/10.32513/tbilisi/1553565630
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