The role of equivalent metrics in fixed point theory

zbMath1278.54044MaRDI QIDQ367294

Adrian Petruşel, Marcel-Adrian Şerban, Ioan A. Rus

Publication date: 26 September 2013

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

stabilitycontractionfixed point theorywell-posednessshadowing propertyweakly Picard operatorPicard operatorUlam stabilitygeneralizd contractioninvariant subsetstrongly equivalent metrictopologically equivalent metric

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (9)

On metric-preserving functions and fixed point theorems ⋮ Projective contractions, generalized metrics, and fixed points ⋮ Remarks on b-Metric and metric-preserving functions ⋮ Relevant classes of weakly Picard operators ⋮ Remarks on ultrametrics and metric-preserving functions ⋮ Remarks on b-metrics, ultrametrics, and metric-preserving functions ⋮ Fixed points of multivalued \(({\alpha_*}-\phi)\)-contractions and metric transforms ⋮ On functions preserving regular semimetrics and quasimetrics satisfying the relaxed polygonal inequality ⋮ Saturated contraction principles for non self operators, generalizations and applications

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