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

[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.

[学科分类] 航空航天科学

[关键词] Interpolative contraction;Kannan contraction;Proinov contraction;Ample spectrum contraction;Fixed point