Local fixed point results for graphic contractions

DOI10.23952/jnva.3.2019.2.03zbMath1475.54032OpenAlexW4245655169MaRDI QIDQ5244139

Adrian Petruşel

Publication date: 20 November 2019

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.3.2019.2.03

zbMATH Keywords

fixed pointcomplete metric spacegraphic contractiongraph of a mappinglocal fixed point theorem

Mathematics Subject Classification ID

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

Related Items (3)

Fixed point results for non-self nonlinear graphic contractions in complete metric spaces with applications ⋮ Higher order of convergence with multivalued contraction mappings ⋮ Graph contractions in vector-valued metric spaces and applications

Cites Work

• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Fixed points for non-self operators and domain invariance theorems
• Relevant classes of weakly Picard operators
• Fixed point theorems in ordered abstract spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• The Retraction-Displacement Condition in the Theory of Fixed Point Equation with a Convergent Iterative Algorithm
• Fixed point theorems in ordered 𝐿-spaces
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