Leader type contractions, periodic and fixed points and new completivity in quasi-gauge spaces with generalized quasi-pseudodistances

DOI10.1016/j.topol.2012.08.013zbMath1258.47075OpenAlexW1999806076MaRDI QIDQ714758

Kazimierz Włodarczyk, Raobert Plebaniak

Publication date: 11 October 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.08.013

zbMATH Keywords

fixed pointperiodic pointgeneralized quasi-pseudodistancequasi-gauge spacequasi-metric spacecontraction of leader typequasi-pseudometric space

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15) Nonlinear operators and their properties (47H99)

Related Items (12)

Hausdorff quasi-distances, periodic and fixed points for Nadler type set-valued contractions in quasi-gauge 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 ⋮ 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 ⋮ Remarks on ultrametrics and metric-preserving functions ⋮ Generalized metric spaces do not have the compatible topology ⋮ 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 ⋮ Periodic and fixed points of the Leader-type contractions in quasi-triangular spaces ⋮ Fixed point theorems for Kannan-type maps

Cites Work

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• A fixed point theorem of Subrahmanyam type in uniform spaces with generalized pseudodistances
• Quasigauge spaces with generalized quasipseudodistances and periodic points of dissipative set-valued dynamic systems
• Contractivity of leader type and fixed points in uniform spaces with generalized pseudodistances
• A general maximality principle and a fixed point theorem in uniform space
• Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions
• Ekeland's variational principle, minimax theorems and existence of nonconvex equilibria in complete metric spaces
• Periodic point, endpoint, and convergence theorems for dissipative set-valued dynamic systems with generalized pseudodistances in cone uniform and uniform spaces
• Maximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistances
• Subrahmanyam's fixed point theorem
• Cauchy sequences in quasi-pseudo-metric spaces
• Viscosity solutions of Hamilton-Jacobi equations with unbounded nonlinear terms
• An improved criterion for fixed points of contraction mappings
• On right \(K\)-sequentially complete quasi-metric spaces
• A theorem on contraction mappings
• A definitive result on asymptotic contractions
• A Note on Contractive Mappings
• Bitopological Spaces
• Remarks on a paper by F. Browder about contraction
• Equivalent Cauchy sequences and contractive fixed points in metric spaces
• Fixed Point Theorems for Mappings with a Contractive Iterate at a Point
• Contractions and completely continuous mappings
• Equivalence of some contractivity properties over metrical structures
• A generalized contraction principle
• Integral equations, implicit functions, and fixed points
• On Nonlinear Contractions
• On Contractive Mappings
• Quasi-Gauge Spaces
• Generalized distance and existence theorems in complete metric spaces

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