Some fixed point theorems concerning (ψ,ϕ )-type contraction in complete metric spaces

DOI10.22436/jnsa.009.06.56zbMath1366.54016OpenAlexW2791860800MaRDI QIDQ3187086

Xin-dong Liu, Yun Xiao, Liang Cai Zhao, Shi Sheng Zhang

Publication date: 15 August 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss6_4127--4136_Some_fixed_point_theorems_concernin.pdf

zbMATH Keywords

fixed pointcontraction principle\((\psi, \phi)\)-type contraction\((\psi, \phi)\)-type Suzuki contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items

On multivalued maps for \(\varphi \)-contractions involving orbits with application ⋮ Results on fixed circles and discs for \(L_{(\omega,C)}\)-contractions and related applications ⋮ On new common fixed points of multivalued \((\varUpsilon,\varLambda )\)-contractions in complete \(b\)-metric spaces and related application ⋮ Solvability of implicit fractional order integral equation in \(\ell_p\) (\(1 \leq p < \infty\)) space via generalized Darbo's fixed point theorem ⋮ Novel results of \(\boldsymbol{\alpha_{\ast}}\)-\(\boldsymbol{\psi}\)-\(\boldsymbol{\Lambda}\)-contraction multivalued mappings in \(F\)-metric spaces with an application ⋮ Some new \(\varphi\)-fixed point and \(\varphi\)-fixed disc results via auxiliary functions ⋮ Modified version of fixed point theorems and their applications on a fractional hybrid differential equation in the space of continuous tempered functions ⋮ Unnamed Item ⋮ On fuzzy fixed points and an application to ordinary fuzzy differential equations ⋮ Common fixed-point theorems in the partial \(b\)-metric spaces and an application to the system of boundary value problems ⋮ \((\psi, \phi)\)-Wardowski contraction pairs and some applications ⋮ Hybrid multivalued type contraction mappings in \(\alpha_K\)-complete partial \(b\)-metric spaces and applications

This page was built for publication: Some fixed point theorems concerning (ψ,ϕ )-type contraction in complete metric spaces