Kannan-type contractions and fixed points in uniform spaces

DOI10.1186/1687-1812-2011-90zbMath1311.47075OpenAlexW1992040499WikidataQ59267637 ScholiaQ59267637MaRDI QIDQ359910

Kazimierz Włodarczyk, Raobert Plebaniak

Publication date: 23 August 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-90

zbMATH Keywords

fixed pointmetric spaceuniform spaceiterative approximation\(\mathcal J\)-family of generalized pseudodistancescontractions of Kannan type

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Uniform structures and generalizations (54E15) General theory of locally convex spaces (46A03)

Related Items (14)

Dislocated quasi-b-metric spaces and fixed point theorems for cyclic contractions ⋮ Fixed points of conditionally \(F\)-contractions in complete metric-like spaces ⋮ Dynamic processes, fixed points, endpoints, asymmetric structures, and investigations related to Caristi, Nadler, and Banach in uniform spaces ⋮ Fixed points of multivalued nonself almost contractions ⋮ Fixed point results in quasi-cone metric spaces ⋮ Some fixed point theorems concerning \(F\)-contraction in complete metric spaces ⋮ Generalized uniform spaces, uniformly locally contractive set-valued dynamic systems and fixed points ⋮ Unique fixed points of \(p\)-cyclic Kannan type probabilistic contractions ⋮ Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances ⋮ New completeness and periodic points of discontinuous contractions of Banach-type in quasi-gauge spaces without Hausdorff property ⋮ Kannan's fixed point approximation for solving split feasibility and variational inequality problems ⋮ Contractions of Banach, Tarafdar, Meir-Keeler, Ćirić-Jachymski-Matkowski and Suzuki types and fixed points in uniform spaces with generalized pseudodistances ⋮ Asymmetric structures, discontinuous contractions and iterative approximation of fixed and periodic points ⋮ Fixed point theorems for Kannan-type maps

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