Covering mappings in metric spaces and fixed points

From MaRDI portal
Publication:957755

DOI10.1134/S1064562407050079zbMath1152.54351OpenAlexW2002103095MaRDI QIDQ957755

Aram V. Arutyunov

Publication date: 1 December 2008

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562407050079




Related Items (92)

On directional subregularity of mappingsOn the existence of solutions of nonlinear equationsCaristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence pointsOn coincidence points for vector mappingsMetric subregularity of composition set-valued mappings with applications to fixed point theoryOn stability and continuous dependence on parameter of the set of coincidence points of two mappings acting in a space with a distanceStability of coincidence points and set-valued covering maps in metric spacesTowards variational analysis in metric spaces: metric regularity and fixed pointsOn covering of linear operators on polyhedral setsOn the continuity of inverse mappings for Lipschitz perturbations of covering mappingsON EXACT PENALTIES FOR CONSTRAINED OPTIMIZATION PROBLEMS IN METRIC SPACESTheory of \((q_1,q_2)\)-quasimetric spaces and coincidence pointsSome properties and applications of the Hausdorff distanceCovering maps of spaces of compact subsets$ (q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence pointsCovering mappings in a product of metric spaces and boundary value problems for differential equations unsolved for the derivativeOn the Cauchy problem for implicit differential equations of higher ordersOne method for investigating the solvability of boundary value problems for an implicit differential equationKantorovich's fixed point theorem and coincidence point theorems for mappings in vector metric spacesInclusions with mappings acting from a metric space to a space with distanceCoincidence points and generalized coincidence points of two set-valued mappingsAn inverse map result and some applications to sensitivity of generalized equationsUniform estimates of distances to a coincidence point setOn coincidence points of mappings in partially ordered spacesCoincidence points of set-valued mappings in partially ordered spacesDistance functions between sets in \((q_1, q_2)\)-quasimetric spacesOn subregularity properties of set-valued mappingsCoincidence and fixed points of set-valued mappings via regularity in metric spacesOn the well-posedness of differential equations unsolved for the derivativeOn a control problem for a system of implicit differential equationsOn estimates for solutions of systems of convex inequalitiesSets with structure, mappings and fixed point property: fixed point structures(q1,q2)-quasimetric spaces. Covering mappings and coincidence points. A review of the resultsLocal solvability of control systems with mixed constraintsOn operator inclusions in spaces with vector-valued metricsCoincidence points of mappings in vector metric spaces with applications to differential equations and control systemsCascade search for preimages and coincidences: global and local versionsCoincidence points of two mappings acting from a partially ordered space to an arbitrary setUnnamed ItemChain rules for linear openness in metric spaces and applicationsOn the cardinality of the coincidence set for mappings of metric, normed and partially ordered spacesOn some generalized equations with metrically C-increasing mappings: solvability and error bounds with applications to optimizationA metric version of Milyutin theoremFunctional and differential inequalities and their applications to control problemsMulti-valued graph contraction principle with applicationsComparison method for studying equations in metric spacesOn the continuous dependence on the parameter of the set of solutions of the operator equationCoincidence points principle for mappings in partially ordered spacesCovering mappings and well-posedness of nonlinear Volterra equationsOn mappings covering at a nonlinear rate and their perturbation stabilityInverse of the Sum of Set-Valued Mappings and ApplicationsPerturbation of solutions of the coincidence point problem for two mappingsPseudo-contractivity and metric regularity in fixed point theoryOn preservation of common fixed points and coincidences under a homotopy of mapping families of ordered setsMetric regularity, fixed points and some associated problems of variational analysisOn covering properties in variational analysis and optimizationExistence of local solutions in constrained dynamic systemsOn the stability of fixed points and coincidence points of mappings in the generalized Kantorovich's theoremLinear openness of the composition of set-valued maps and applications to variational systemsFixed points and coincidences of mappings of partially ordered setsOn coincidence points of multivalued vector mappings of metric spacesCoincidence points of multivalued mappings in \((q_1,q_2)\)-quasimetric spacesAlgorithm for computing the covering constant of a linear operator on a coneMetric regularity of the sum of multifunctions and applicationsPerturbations of vectorial coverings and systems of equations in metric spacesFixed points of modular contractive mapsStability results of variational systems under openness with respect to fixed setsOn the solvability of implicit differential inclusionsCascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappingsContinuous dependence of coincidence points on a parameterMetric regularity of composition set-valued mappings: metric setting and coderivative conditionsCovering mappings and their applications to differential equations unsolved for the derivativeCoincidence points in the cases of metric spaces and metric mapsCoincidence points principle for set-valued mappings in partially ordered spacesApproximation of coincidence points and common fixed points of a collection of mappings of metric spacesStability of coincidence points and properties of covering mappingsCascade search of the coincidence set of collections of multivalued mappingsOn Fixed Point Theory and Its Applications to Equilibrium ModelsLyusternik-Graves theorem and fixed pointsGlobal and semilocal theorems on implicit and inverse functions in Banach spacesApplication of methods of ordinary differential equations to global inverse function theoremsKantorovich's fixed point theorem in metric spaces and coincidence pointsOn covering mappings in generalized metric spaces in studying implicit differential equationsCovering mappings acting into normed spaces and coincidence pointsAn approach problem for a control system and a compact set in the phase space in the presence of phase constraintsFixed points and coincidences of families of mappings between ordered sets and some metrical consequencesStability Theorems for Estimating the Distance to a Set of Coincidence PointsOn coincidence points of mappings in generalized metric spacesSome questions of the analysis of mappings of metric and partially ordered spacesCoincidence points in generalized metric spacesMetric regularity and Lyusternik-Graves theorem via approximate fixed points of set-valued maps in noncomplete metric spacesA method for studying integral equations by using a covering set of the Nemytskii operator in spaces of measurable functions




This page was built for publication: Covering mappings in metric spaces and fixed points