On (ψ, φ)²- contractive maps

On (ψ, φ)²- contractive maps

In this paper, we introduce the notion of generalized weakly contractive mapping of quadratic type and we prove fixed point results for this type of mapping. We justify our result by suitable examples and show that this mapping satisfies properties P and Q. Among other things, as corollaries we reco...

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Veröffentlicht in:Carpathian Journal of Mathematics 2020-01, Vol.36 (2), p.303-312
Hauptverfasser: Tiwari, Rakesh, Khan, Mohammad Saeed, Rani, Shobha, Rakočević, Vladimir
Format: Artikel
Sprache:eng
Schlagworte:
Decreasing sequences
Diagonal lemma
Fixed point property
Hilbert spaces
Integers
Mathematical monotonicity
Real numbers
Uniqueness
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Beschreibung
Zusammenfassung:In this paper, we introduce the notion of generalized weakly contractive mapping of quadratic type and we prove fixed point results for this type of mapping. We justify our result by suitable examples and show that this mapping satisfies properties P and Q. Among other things, as corollaries we recover Banach and Kannan fixed point theorems.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2020.02.14