Sharpening some core theorems of Nieto and Rodríguez-López with application to boundary value problem

DOI10.1186/S13663-015-0446-7zbMath1470.54078OpenAlexW1905523416WikidataQ59427873 ScholiaQ59427873MaRDI QIDQ288128

Aftab Alam, Mirwan Amin Kutbi, Mohammad Imdad

Publication date: 24 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0446-7

zbMATH Keywords

ordered metric space\textit{MCC} propertyO-completenessO-continuity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (13)

Discussion on some recent order-theoretic metrical coincidence theorems involving nonlinear contractions ⋮ Relation-theoretic fixed point theorems under a new implicit function with applications to ordinary differential equations ⋮ Fixed point theorems for weakly contractive mappings in relational metric spaces with an application ⋮ Endpoints of generalized contractions in \(\mathscr{F}\)-metric spaces with application to integral equations ⋮ Unnamed Item ⋮ Fixed Point Theorems for Weakly Contractive Mappings in Ordered Metric Spaces with an Application ⋮ Endpoint results for weakly contractive mappings in $mathcal{F}$-metric spaces with application ⋮ F-HR-type contractions on (\alpha,\eta)-complete rectangular b-metric spaces ⋮ Generalized contraction principle under relatively weaker contraction in partial metric spaces ⋮ An observation on \(\alpha\)-type \( F\)-contractions and some ordered-theoretic fixed point results ⋮ Relation theoretic common fixed point results for generalized weak nonlinear contractions with an application ⋮ Fixed point theorems via comparable mappings in ordered metric spaces ⋮ Fixed point theorems via w-distance in relational metric spaces with an application

Cites Work

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• Some coincidence theorems for generalized nonlinear contractions in ordered metric spaces with applications
• Enriching some recent coincidence theorems for nonlinear contractions in ordered metric spaces
• Linear contractions in product ordered metric spaces
• Multivalued and singlevalued fixed point results in partially ordered metric spaces
• Abstract comparison principles and multivariable Gronwall-Bellman inequalities
• Fixed point theorems on ordered metric spaces and applications to nonlinear elastic beam equations
• Fixed point theorems for generalized contractions in ordered metric spaces
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Nieto-Lopez theorems in ordered metric spaces
• Generalized contractions in partially ordered metric spaces
• On Nonlinear Contractions

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