Some fixed point theorems for G-rational Geraghty contractive mappings in ordered generalized b-metric spaces

DOI10.22436/jnsa.008.06.28zbMath1351.54027OpenAlexW2792714931MaRDI QIDQ3455350

Vahid Parvaneh, Zoran Kadelburg, Abdul Latif, Jamal Rezaei Roshan

Publication date: 4 December 2015

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/Vol8_Iss6_1212--1227_Some_fixed_point_theorems_for_G-rat.pdf

zbMATH Keywords

fixed pointGeraghty-type conditionrational contractive conditionordered generalized \(b\)-metric space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (5)

Existence and uniqueness of solutions for a class of integral equations by common fixed point theorems in IFMT-spaces ⋮ Solving existence problems via contractions in expanded \(b\)-metric spaces ⋮ Ordered \(S_p\)-metric spaces and some fixed point theorems for contractive mappings with application to periodic boundary value problems ⋮ \( S^{\ast p}$-$b\)-partial metric spaces with some results in common fixed point theorems ⋮ Coupled fixed point theorems in \(C^{\ast}\)-algebra-valued \(b\)-metric spaces with application

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