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- Title
A New Approach of Some Contractive Mappings on Metric Spaces.
- Authors
Olaru, Ion Marian; Secelean, Nicolae Adrian
- Abstract
In this paper, we introduce a new contraction-type mapping and provide a fixed-point theorem which generalizes and improves some existing results in the literature. Thus, we prove that the Boyd and Wong theorem (1969) and, more recently, the fixed-point results due to Wardowski (2012), Turinici (2012), Piri and Kumam (2016), Secelean (2016), Proinov (2020), and others are consequences of our main result. An application in integral equations and some illustrative examples are indicated.
- Subjects
INTEGRAL equations; CONTRACTIONS (Topology)
- Publication
Mathematics (2227-7390), 2021, Vol 9, Issue 12, p1433
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math9121433