Fixed point theory in the setting of $(\alpha,\beta,\psi,\phi)$-interpolative contractions-Reference-Cited by-同舟云学术

Fixed point theory in the setting of $(\alpha,\beta,\psi,\phi)$-interpolative contractions

Published:2021-07-16 Issue:1 Volume:2021 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Karapınar Erdal^ORCID,Fulga Andreea^ORCID,Roldán López de Hierro Antonio Francisco

Abstract

AbstractIn this manuscript we introduce the notion of

$(\alpha,\beta,\psi,\phi)$

( α , β , ψ , ϕ ) -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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-021-03491-w.pdf

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