(q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the results

DOI10.24193/fpt-ro.2022.2.03zbMath1530.54026OpenAlexW4365402273MaRDI QIDQ6180631

Aleksandr Valer'evich Greshnov, Aram V. Arutyunov

Publication date: 2 January 2024

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

Full work available at URL: https://doi.org/10.24193/fpt-ro.2022.2.03

zbMATH Keywords

fixed pointcoincidence pointsmultivalued mappingcontraction mappingLipschitz mappingcovering mappingHausdorff deviation\(f\)-quasimetric space\((q_1, q_2)\)-quasimetric space

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point and coincidence theorems (topological aspects) (54H25) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Uniform structures and generalizations (54E15)

Related Items (1)

Improvement of fixed point theorems for Hardy-Rogers contraction type in \(b\)-metric spaces without \(F\)-contraction assumption

Cites Work

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• Some fixed point results on quasi-\(b\)-metric-like spaces
• Exact values of constants in the generalized triangle inequality for some \((1, q_2)\)-quasimetrics on canonical Carnot groups
• Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points
• Perturbation of solutions of the coincidence point problem for two mappings
• A new approach to function spaces on quasi-metric spaces
• Coincidence points of multivalued mappings in \((q_1,q_2)\)-quasimetric spaces
• Stability of coincidence points and properties of covering mappings
• On the differentiability of mappings of Carnot-Carathéodory spaces
• Covering mappings in metric spaces and fixed points
• Balls and metrics defined by vector fields. I: Basic properties
• On completeness in quasi-metric spaces
• Lipschitz functions on spaces of homogeneous type
• A decomposition into atoms of distributions on spaces of homogeneous type
• Cauchy sequences in quasi-pseudo-metric spaces
• Lectures on analysis on metric spaces
• The fixed points of contractions of \(f\)-quasimetric spaces
• A note on the paper ``Contraction mappings in \(b\)-metric spaces by Czerwik
• Hardy spaces on Ahlfors-regular quasi metric spaces. A sharp theory
• Topological and geometrical properties of spaces with symmetric and nonsymmetric \(f\)-quasimetrics
• Regularization of distance functions and separation axioms on \((q_1,q_2)\)-quasimetric spaces
• Dislocated quasi-b-metric spaces and fixed point theorems for cyclic weakly contractions
• Approximate Differentiability of Mappings of Carnot-Carath\'eodory Spaces
• Functional Analysis in Asymmetric Normed Spaces
• Fixed Point Theory in Distance Spaces
• Bitopological Spaces
• Extensions of Hardy spaces and their use in analysis
• On Quasi-Metric Spaces
• $ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points
• Duality and quasi-normability for complexity spaces
• Non-Hausdorff Topology and Domain Theory
• $(q_1,q_2)$-квазиметрические пространства. Накрывающие отображения и точки совпадения
• MINIMA OF FUNCTIONS ON (q1; q2)-QUASIMETRIC SPACES
• Stability Theorems for Estimating the Distance to a Set of Coincidence Points
• (q1, q2)-quasimetrics bi-Lipschitz equivalent to 1-quasimetrics

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