scientific article

Publication date: 1989

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

metric of uniform convergence \(\sigma\)-porous subset nonempty closed bounded subset of a Banach space porosity of the set of contractions without fixed points space of all contractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

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Generic existence and approximation of fixed points for nonexpansive set-valued maps ⋮ Fixed point results of enriched interpolative Kannan type operators with applications ⋮ Most homeomorphisms of the circle are semiperiodic ⋮ Some topological properties and fixed point results in cone metric spaces over Banach algebras ⋮ \(\sigma\)-porosity of the set of strict contractions in a space of non-expansive mappings ⋮ Generic well-posedness of nonconvex constrained variational problems ⋮ Generalized Nadler type results in ultrametric spaces with applications to well-posedness ⋮ Iterated function systems and well-posedness ⋮ Most maximally monotone operators have a unique zero and a super-regular resolvent ⋮ Approximate fixed points of nonexpansive mappings in unbounded sets ⋮ Attractors for classes of iterated function systems ⋮ Three generic results in holomorphic fixed point theory ⋮ On Nadler type results in ultrametric spaces with application to well-posedness ⋮ Porosity phenomena of non-expansive, Banach space mappings ⋮ A stable convergence theorem for infinite products of nonexpansive mappings in Banach spaces ⋮ Generic properties of nonexpansive mappings on unbounded domains ⋮ On successive approximations for compact-valued nonexpansive mappings ⋮ Porosity results for sets of strict contractions on geodesic metric spaces ⋮ Survey on Metric Fixed Point Theory and Applications ⋮ Unnamed Item ⋮ Generic existence of solutions in vector optimization on metric spaces ⋮ A random weak ergodic property of infinite products of operators in metric spaces ⋮ Unnamed Item ⋮ Ulam-Hyers stability and well-posedness of fixed point problems for \(\alpha\)-\(\lambda\)-contraction mapping in metric spaces ⋮ Ulam-Hyers stability, well-posedness and limit shadowing property of the fixed point problems for some contractive mappings in M_s-metric spaces ⋮ Some applications with new admissibility contractions in b-metric spaces ⋮ Two porosity theorems for nonexpansive mappings in hyperbolic spaces ⋮ Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces ⋮ On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature ⋮ Contractive mappings on unbounded sets ⋮ Generic well-posedness of fixed point problems ⋮ Porosity of convex nowhere dense subsets of normed linear spaces ⋮ Common fixed point for two pairs of mappings satisfying (E.A) property in generalized metric spaces ⋮ Nearest and farthest points in spaces of curvature bounded below ⋮ Density of the set of local minimizers for a generic cost function ⋮ On the topological entropy of continuous and almost continuous functions ⋮ A porosity theorem for a class of nonexpansive set-valued mappings ⋮ Fixed point theorems for cyclic self-maps involving weaker Meir-Keeler functions in complete metric spaces and applications ⋮ SOME FIXED POINT THEOREMS VIA CYCLIC CONTRACTIVE CONDITIONS IN S-METRIC SPACES ⋮ Porosity and fixed points of nonexpansive set-valued maps ⋮ The set of divergent infinite products in a Banach space is \(\sigma\)-porous ⋮ Existence of solutions of a vector optimization problem with a generic lower semicontinuous objective function ⋮ A common fixed point result for two pairs of maps in b-metric spaces without (E.A.)-property ⋮ Well-posedness and common fixed points for two pairs of maps using weak contractivity ⋮ Unnamed Item ⋮ Porosity results on fixed points for nonexpansive set-valued maps in hyperbolic spaces ⋮ Multivalued fixed point theorem in b-metric spaces and its application to differential inclusions ⋮ A generic view on the theorems of Brouwer and Schauder

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