Fixed points of multivalued mappings in certain convex metric spaces
From MaRDI portal
Publication:1381015
DOI10.12775/TMNA.1996.028zbMath0902.47049MaRDI QIDQ1381015
Tomoo Shimizu, Takahashi, Wataru
Publication date: 9 December 1998
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
fixed point propertyuniform convexityultrafiltersconvex metric spacesmultivalued nonexpansive mappings
Related Items
A Fixed Point Theorem for a Pair of Generalized Nonexpansive Mappings in Uniformly Convex Metric Spaces ⋮ Ordered convex metric spaces ⋮ Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces ⋮ Noncyclic $\varphi$-contractions in hyperbolic uniformly convex metric spaces ⋮ Demiclosed principle and convergence theorems for total asymptotically nonexpansive nonself mappings in hyperbolic spaces ⋮ Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces ⋮ Some convergence results for modified SP-iteration scheme in hyperbolic spaces ⋮ On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces ⋮ Variational inequality problem involving multivalued nonexpansive mapping in CAT(0) spaces ⋮ Common fixed point iterations of non-Lipschitzian mappings in a convex metric space ⋮ Fixed point results in convex metric spaces ⋮ Unnamed Item ⋮ A one-step implicit iterative process for a finite family of \(I\)-nonexpansive mappings in Kohlenbach hyperbolic spaces ⋮ Approximating common endpoints of multivalued generalized nonexpansive mappings in hyperbolic spaces ⋮ An implicit algorithm for two finite families of nonexpansive maps in hyperbolic spaces ⋮ Convergence of an iteration scheme in convex metric spaces ⋮ \( \Delta \)-convergence for proximal point algorithm and fixed point problem in CAT(0) spaces ⋮ Unnamed Item ⋮ Ordered uniform convexity in ordered convex metric spaces with an application to fixed point theory ⋮ Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Relatively nonexpansive mappings in Kohlenbach hyperbolic spaces ⋮ Mixed-type SP-iteration for asymptotically nonexpansive mappings in hyperbolic spaces ⋮ Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces ⋮ Existence results for -quasimonotone equilibrium problems in convex metric spaces ⋮ On the generalized asymptotically nonspreading mappings in convex metric spaces ⋮ Strong convergence theorems for a countable family of nonexpansive mappings in convex metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Semi-normal structure and best proximity pair results in convex metric spaces ⋮ Fixed point approximation of nonexpansive mappings on a nonlinear domain ⋮ On weak contractive cyclic maps in generalized metric spaces and some related results on best proximity points and fixed points ⋮ Convergence analysis of new modified iterative approximating processes for two finite families of total asymptotically nonexpansive nonself mappings in hyperbolic spaces ⋮ Fixed point theorems for (L)-type mappings in complete CAT(0) spaces ⋮ Fixed points for multivalued mappings in uniformly convex metric spaces ⋮ Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces ⋮ Fixed point results with applications to involution mappings ⋮ TWO KINDS OF CONVERGENCES IN HYPERBOLIC SPACES IN THREE-STEP ITERATIVE SCHEMES ⋮ Fixed point theorems for \(N\)-generalized hybrid mappings in uniformly convex metric spaces ⋮ Existence and convergence theorems for generalized hybrid mappings in uniformly convex metric spaces ⋮ Some new results on cyclic relatively nonexpansive mappings in convex metric spaces ⋮ Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces ⋮ Approximating common fixed points in hyperbolic spaces ⋮ Tripartite coincidence-best proximity points and convexity in generalized metric spaces ⋮ Approximation of common fixed point of two quasi-nonexpansive mappings in convex metric spaces ⋮ Fixed point results for single and set-valued \(\alpha\)-\(\eta\)-\(\psi\)-contractive mappings ⋮ An Iteration Process for Nonlinear Mappings in Uniformly Convex Linear Metric Spaces ⋮ Some convergence results for multi-valued mappings in hyperbolic spaces ⋮ Convergence of general algorithm for \(I\)-generalized asymptotically nonexpansive nonself-mappings in uniformly convex hyperbolic spaces ⋮ Unnamed Item ⋮ Common fixed point of generalized asymptotic pointwise (quasi-) nonexpansive mappings in hyperbolic spaces ⋮ Best approximation results in various frameworks ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Versions of the Weierstrass Theorem for Bifunctions and Solution Existence in Optimization ⋮ On Chebyshev centers in metric spaces ⋮ Strong and \(\triangle\)-convergence of Moudafi's iterative algorithm for generalized nonexpansive mappings in convex metric spaces ⋮ A fixed-point theorem for monotone nearly asymptotically nonexpansive mappings ⋮ Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces ⋮ Fixed point results for enriched ordered contractions in noncommutative Banach spaces ⋮ Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings ⋮ Convergence, weak \(w^2\) stability, and data dependence results for the \(F\) iterative scheme in hyperbolic spaces ⋮ Three-step iterative algorithm for a pair of total asymptotically nonexpansive mappings in uniformly convex metric spaces ⋮ A one-step-two-mappings iterative scheme for multi-valued maps in W-hyperbolic spaces ⋮ Coincidence best proximity points in convex metric spaces