Approximations and Fixed Points for Condensing Non-Self-Maps Defined on a Sphere

DOI10.2307/2046735zbMath0677.47033OpenAlexW4253333873MaRDI QIDQ3833103

Tzu-Chu Lin

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2046735

zbMATH Keywords

compact convex subsetcondensing maps on closed ballscondensing maps on spheresSchauder's fixed-point principle

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Best approximation, Chebyshev systems (41A50) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Convergence analysis of an iterative algorithm for the extended regularized nonconvex variational inequalities ⋮ Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces ⋮ Random approximations and random fixed point theorems for random 1-setn-contractive non-self-maps in abstract cones ⋮ Approximation and fixed-point theorems for condensing composites of multifunctions ⋮ Approximation and fixed point theorems for countable condensing composite maps

Cites Work

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• Applications of the proximity map to fixed point theorems in Hilbert space
• Extensions of two fixed point theorems of F. E. Browder
• Fixed point theorems for set-valued maps in infinite dimensional spaces
• The fixed point index for local condensing maps
• A Note on a Theorem of Ky Fan
• On a sharpened form of the Schauder fixed-point theorem
• A fixed point theorem for α-condensing maps on a sphere
• Some fixed point theorems

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