Continuous Dependence of Fixed Point Sets

From MaRDI portal
Publication:4765149

DOI10.2307/2038947zbMath0278.47036OpenAlexW4240853308MaRDI QIDQ4765149

Jack T. Markin

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038947




Related Items

On fixed point stability for set-valued contractive mappings with applications to generalized differential equationsA stability result for differential inclusions in Banach spacesA new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spacesSOME CONVERGENCE THEOREMS FOR SUZUKI GENERALIZED MULTIVALUED NONEXPANSIVE MAPPINGS IN CAT(0) SPACESITERATIVE APPROXIMATION OF ENDPOINTS FOR SUZUKI GENERALIZED MULTIVALUED MAPPINGS IN HADAMARD SPACESAn iterative method for multivalued tempered Lipschitz hemicontractive mappingsConvergence, stability, and data dependence of a new iterative algorithm with an applicationMixed type iterations for multivalued nonexpansive mappings in hyperbolic spacesConvergence theorems for finite family of a general class of multi-valued strictly pseudo-contractive mappingsNew iterative algorithm for two infinite families of multivalued quasi-nonexpansive mappings in uniformly convex Banach spacesMore on the behaviors of fixed points sets of multifunctions and applicationsA New Iterative Algorithm for Multivalued Nonexpansive Mappping and Equlibruim Problems with ApplicationsOne-step iteration scheme for multivalued nonexpansive mappings in CAT(0) spacesCoincidence point theorem for two pairs of hybrid mappings in complex valued metric spacesUnnamed ItemCommon fixed point results for a pair of multivalued mappings in complex-valued \(b\)-metric spacesCoupled coincidence and common fixed point theorems for hybrid pair of mappingsFixed point theory for multivalued \({\phi}\)-contractionsFixed points of multivalued nonexpansive mappings in Banach spacesConvergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappingsCommon fixed points of family of multivalued F-contraction mappings on ordered metric spacesFixed points of relaxed (Ψ,φ)-weakly N-contraction mappings in modular spaces\( \Delta \)-convergence for proximal point algorithm and fixed point problem in CAT(0) spacesCommon fixed points of two multivalued nonexpansive mappings by one-step iterative schemeUnnamed ItemWeak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappingsA generalization of set-valued Prešić-Reich type contractions in ultrametric spaces with applicationsSet-valued contraction mappings of Prešić–Reich type in ultrametric spacesConvergence theorems for a common point of solutions of equilibrium and fixed point of relatively nonexpansive multivalued mapping problemsA new type of fixed point theorem via interpolation of operators with application in homotopy theoryWeakly (\(s, \, r\))-contractive multi-valued operatorsUnnamed ItemCommon Fixed Point Results for Family of Generalized Multivalued F-Contraction Mappings in Ordered Metric SpacesUnnamed ItemIterative method for approximating a common fixed point for family of multi-valued generalized hemi-contractive nonself mappingsGeneralized differentiation and fixed points sets behaviors with respect to Fisher convergenceUnnamed ItemThe theory of Reich's fixed point theorem for multivalued operatorsUnnamed ItemData dependence results of new multi-step and S-iterative schemes for contractive-like operatorsAn integral type fixed point theorem for multi-valued mappings employing strongly tangential propertyUnnamed ItemFixed set theory for closed correspondences with applications to self-similarity and games.Convergence theorems for three finite families of multivalued nonexpansive mappingsConvergence of infinite family of multivalued quasi-nonexpansive mappings using multistep iterative processesCommon fixed point theorem for hybrid generalized multi-valued contraction mappingsTripled fixed points of multivalued nonlinear contraction mappings in partially ordered metric spacesCommon coupled fixed point theorems for two hybrid pairs of mappings under \(\varphi\)-\(\psi\) contractionFixed points of multivalued quasi-nonexpansive mappings using a faster iterative processA fixed point approach in the study of the solution sets of Lipschitzian functional-differential inclusionsOn an iterative process for generalized nonexpansive multi-valued mappings in Banach spacesGregus-type common fixed point theorems for tangential multivalued mappings of integral type in metric spacesStability of solution sets for generalized differential equationsA new iteration scheme for a hybrid pair of generalized nonexpansive mappingsCommon fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spacesA new one-step iterative scheme for approximating common fixed points of two multivalued nonexpansive mappingsApproximating fixed points of multivalued \(\rho\)-nonexpansive mappings in modular function spacesA hybrid iterative method for common solutions of variational inequality problems and fixed point problems for single-valued and multi-valued mappings with applicationsAn implicit iteration process for solving a fixed point problem of a finite family of multi-valued mappings in Banach spacesA note on fixed point stability for generalized multivalued contractionsCommon fixed point theorem for cyclic generalized multi-valued contraction mappingsA fixed point stability theorem for nonexpansive set valued mappingsConvergence of dissipative-like dynamics and algorithms governed by set-valued nonexpansive mappingsUnnamed ItemOn the convergence of a new iterative algorithm of three infinite families of generalized nonexpansive multi-valued mappingsViscosity approximation methods for multivalued nonexpansive mappingsConvergence theorems for total asymptotically nonexpansive single-valued and quasi nonexpansive multi-valued mappings in hyperbolic spacesCommon \(f\)-endpoint for hybrid generalized multi-valued contraction mappingsUnnamed ItemWeakly (s,r)-contractive multi-valued operators on b-metric spaceFixed point theorems for two new classes of multivalued mappingsContinuous selections and retractive representations for the fixed points sets of set valued Reich's contractionsApproximating a common fixed point of a finite family of nonlinear mappings in modular function spacesUnnamed ItemFixed-point approximations of generalized nonexpansive mappings via generalized M-iteration process in hyperbolic spacesMultivalued mappingsStability of fixed point sets of a class of multivalued nonlinear contractionsRelated results to hybrid pair of mappings and applications in bipolar metric spacesConvergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued MappingsContinuity and sensitivity analysis of parameterized Nash gamesFixed point and common fixed point results in cone metric space and application to invariant approximationA new iterative process for a hybrid pair of generalized asymptotically nonexpansive single-valued and generalized nonexpansive multi-valued mappings in Banach spacesOn split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spacesStability results for enriched contraction mappings in convex metric spacesA one-step-two-mappings iterative scheme for multi-valued maps in W-hyperbolic spacesData dependence of the fixed point set of some multivalued weakly Picard operators.



Cites Work