Fixed Point Theory in the Setting of (α,β,ψ,φ)-Interpolative Contractions
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Date
2021
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
No
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No
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Top 10%
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Top 10%
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Top 10%
Abstract
In this manuscript we introduce the notion of (alpha,beta,psi,phi)-interpolative contraction that unifies and generalizes significant concepts: Proinov type contractions, interpolative contractions, and ample spectrum contraction. We investigate the necessary and sufficient conditions to guarantee existence and uniqueness of the fixed point of such mappings.
Description
Keywords
Interpolative Contraction, Kannan Contraction, Proinov Contraction, Ample Spectrum Contraction, Fixed Point, 47H10, 47H09, 54H25, Fixed-point and coincidence theorems (topological aspects), Kannan contraction, Ample spectrum contraction, Fixed point, Interpolative contraction, Proinov contraction, ample spectrum contraction, fixed point, interpolative contraction, QA1-939, Complete metric spaces, Special maps on metric spaces, Mathematics
Fields of Science
02 engineering and technology, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Karapınar, Erdal; Fulga, Andreea; Lopez de Hierro, Antonio Francisco Roldan (2021). "Fixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractions", Advances in Difference Equations, Vol. 2021, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
21
Source
Advances in Difference Equations
Volume
2021
Issue
1
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Scopus : 30
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