Some new φ-fixed point and φ-fixed disc results via auxiliary functions

Some new φ-fixed point and φ-fixed disc results via auxiliary functions

Abstract In this paper, we first introduce several new contractions by some auxiliary functions. Then we establish some φ-fixed point results for ( γ , ψ , φ , ϕ ) $(\gamma ,\psi ,\varphi ,\phi )$ contractions, rational- ( γ , ψ , φ , ϕ ) $(\gamma , \psi ,\varphi ,\phi )$ contractions and almost- (...

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Bibliographic Details
Main Authors: Yan Sun, Xiao-lan Liu, Jia Deng, Mi Zhou, Huan Zhang
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:Journal of Inequalities and Applications
Subjects:
φ-fixed point
φ-fixed disc
( γ , ψ , φ , ϕ ) $(\gamma ,\psi ,\varphi ,\phi )$ contraction
( ψ , φ , ϕ ) x 0 $(\psi ,\varphi ,\phi )_{x_{0}}$ contraction
Nonlinear integral equations
Online Access:https://doi.org/10.1186/s13660-022-02852-7

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