6533b820fe1ef96bd1279a6a

RESEARCH PRODUCT

A New Approach of Some Contractive Mappings on Metric Spaces

Nicolae Adrian SeceleanIon Marian Olaru

subject

Pure mathematicsGeneral Mathematics010102 general mathematicsPicard operatorFixed point01 natural sciencesIntegral equation010101 applied mathematicsMetric spacefixed pointComputer Science (miscellaneous)contractive mappingQA1-9390101 mathematicsEngineering (miscellaneous)MathematicsMathematics

description

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.

yearjournalcountryeditionlanguage
2021-06-19Mathematics
10.3390/math9121433https://www.mdpi.com/2227-7390/9/12/1433