Fixed point theory in the setting of (alpha,beta,psi,phi)-interpolative contractions
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Date
2021
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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.
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Interpolative Contraction, Kannan Contraction, Proinov Contraction, Ample Spectrum Contraction, Fixed Point
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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.
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Advances in Difference Equations
Volume
2021
Issue
1