Coincidence point theorems in quasi-metric spaces without assuming the mixed monotone property and consequences in \(G\)-metric spaces

DOI10.1186/1687-1812-2014-184zbMath1346.54027OpenAlexW2117237085WikidataQ57674888 ScholiaQ57674888MaRDI QIDQ286925

Antonio-Francisco Roldán-López-de-Hierro, Erdal Karapınar, Manuel de la Sen

Publication date: 26 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-184

zbMATH Keywords

partially ordered metric spaces\(G\)-metric spacescoincidence point theoremsquasi-metric spaces

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 (12)

The Górnicki-Proinov type contraction on quasi-metric spaces ⋮ On some fixed point theorems under \((\alpha,\psi,\phi)\)-contractivity conditions in metric spaces endowed with transitive binary relations ⋮ Observations on relation-theoretic coincidence theorems under Boyd-Wong type nonlinear contractions ⋮ Relation-theoretic metrical coincidence theorems under weak C-contractions and K-contractions ⋮ Relational Meir-Keeler contractions and common fixed point theorems ⋮ Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application ⋮ Fixed points of Suzuki contractive mappings in relational metric spaces ⋮ On quasi \(b\)-metric space with index \(k\) and fixed point results ⋮ Coincidence points of relational \(\psi\)-contractions and an application ⋮ Some fixed point results for relation theoretic weak \(\varphi \)-contractions in cone metric spaces equipped with a binary relation and application to the system of Volterra type equations ⋮ Some remarks about the existence of coupled \(g\)-coincidence points ⋮ Some fixed point results in ordered dualistic partial metric spaces

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