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

Advances in Difference Equations

article

Karapınar, Erdal¹  Fulga, Andreea⁴  Roldán López de Hierro, Antonio Francisco⁵ 

[1]Division of Applied Mathematics, Thu Dau Mot University

[2]Department of Mathematics, Cankaya University

[3]Department of Medical Research, China Medical University Hospital, China Medical University

[4]Department of Mathematics and Computer Sciences, Transilvania University of Brasov

[5]Department of Statistics and Operations Research, University of Granada

关键词: Interpolative contraction;    Kannan contraction;    Proinov contraction;    Ample spectrum contraction;    Fixed point;   

DOI  :  10.1186/s13662-021-03491-w

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY