Some existence and uniqueness theorems on ordered metric spaces via generalized distances

DOI10.1186/1687-1812-2013-45zbMath1286.54052OpenAlexW2114569945WikidataQ59293824 ScholiaQ59293824MaRDI QIDQ2444842

Dhananjay Gopal, Fayyaz Rouzkard, Mohammad Imdad

Publication date: 11 April 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-45

zbMATH Keywords

fixed point\(w\)-distancecomplete metric spacepartially ordered setaltering functionsorbitally \(\mathcal U\)-continuousorbitally continuousnondecreasing

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items

Fixed point theorems with generalized altering distance functions in partially ordered metric spaces via \(w\)-distances and applications ⋮ A new approach to the study of fixed point theorems with \(w\)-distances via \(R\)-functions ⋮ Contraction mapping principle in partially ordered quasi metric space concerning to w-distances ⋮ SOME EXISTENCE AND UNIQUENESS THEOREMS ON ORDERED METRIC SPACES VIA GENERALIZED DISTANCES UNDER NEW CONTROL FUNCTIONS ⋮ An implicit relation, relational theoretic approach under \(w\)-distance and application to nonlinear matrix equations

Cites Work

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• The existence of fixed points for nonlinear contractive maps in metric spaces with \(w\)-distances
• Meir-Keeler contractions of integral type are still Meir-Keeler contractions
• Remarks on contractive conditions of integral type
• A fixed point theorem for mappings satisfying a general contractive condition of integral type
• A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems by altering distances between the points
• Nonconvex minimization problems
• Fixed Point Theorems for Mappings Satisfying Inwardness Conditions
• A fixed point theorem in partially ordered sets and some applications to matrix equations

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