New completeness and periodic points of discontinuous contractions of Banach-type in quasi-gauge spaces without Hausdorff property

DOI10.1186/1687-1812-2013-289zbMath1295.54095OpenAlexW2153581031WikidataQ59303387 ScholiaQ59303387MaRDI QIDQ401839

Kazimierz Włodarczyk, Raobert Plebaniak

Publication date: 27 August 2014

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2013-289

zbMATH Keywords

contractionfixed pointperiodic pointiterative approximationgeneralized quasi-pseudodistancequasi-gauge spaceasymmetric structurenew completeness

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Topological spaces and generalizations (closure spaces, etc.) (54A05) Uniform structures and generalizations (54E15)

Related Items

Hausdorff quasi-distances, periodic and fixed points for Nadler type set-valued contractions in quasi-gauge spaces ⋮ Some periodic and fixed point theorems on quasi-\(b\)-gauge spaces ⋮ Dynamic processes, fixed points, endpoints, asymmetric structures, and investigations related to Caristi, Nadler, and Banach in uniform spaces ⋮ Best proximity point theorem in quasi-pseudometric spaces ⋮ Some advances in the theory of quasi-pseudometric type spaces ⋮ Periodic and fixed points for Caristi-type \(G\)-contractions in extended \(b\)-gauge spaces

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