Fixed points for condensing multifunctions in metric spaces with convex structure

DOI10.2996/kmj/1138833572zbMath0423.54039OpenAlexW2155108325MaRDI QIDQ3857448

Louis A. Talman

Publication date: 1977

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138833572

zbMATH Keywords

measure of noncompactnessconvex structurecondensing map

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (17)

Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces ⋮ Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces ⋮ Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space ⋮ Coincidence point theorems in probabilistic metric spaces with a convex structure ⋮ Convexity structures in \(T_{0}\)-quasi-metric spaces ⋮ Unnamed Item ⋮ Condensing operators ⋮ Almost fixed point and best approximations theorems in H-spaces ⋮ On Angrisani and Clavelli synthetic approaches to problems of fixed points in convex metric space ⋮ A new best approximation result in \((S)\) convex metric spaces ⋮ Existence and convergence theorems for generalized hybrid mappings in uniformly convex metric spaces ⋮ Approximating fixed points of some maps in uniformly convex metric spaces ⋮ Abstract convexity and fixed points ⋮ Multivalued mappings ⋮ Nonconvexity in problems of multivalued calculus ⋮ Fixed point results for enriched ordered contractions in noncommutative Banach spaces ⋮ Contractibility and generalized convexity

Cites Work

• Unnamed Item
• A convexity in metric space and nonexpansive mappings. I.
• A characterization of convex subsets of normed spaces
• Some Theorems on Equiconnected and Locally Equiconnected Spaces
• Fixed Point Theorems for Condensing Multifunctions
• LIMIT-COMPACT AND CONDENSING OPERATORS
• A functional approach to fixed-point analysis of noncompact operators
• Fixed Point Theorems for Multi-Valued Transformations

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