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- Title
Simulation functions and Boyd-Wong type results.
- Authors
Aleksić, Suzana; Chandok, Sumit; Radenović, Stojan
- 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.
- Subjects
METRIC spaces; FIXED point theory; CONTRACTIONS (Topology)
- Publication
Tbilisi Mathematical Journal, 2019, Vol 12, Issue 1, p105
- ISSN
1875-158X
- Publication type
Article
- DOI
10.32513/tbilisi/1553565630