Proximity maps and fixed points

DOI10.1016/0021-9045(83)90069-2zbMath0518.47040OpenAlexW2004930518MaRDI QIDQ1053965

S. P. Singh, Bruce Watson

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90069-2

zbMATH Keywords

fixed pointsHilbert spacenonexpansive mapproximity map

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (14)

Applications of the proximity map to fixed point theorems in Hilbert space ⋮ Approximation technique in fixed point theory ⋮ The random version of the Kirzbraun-Valentine extension theorem ⋮ On Ky Fan's theorem and its applications ⋮ Approximation results and fixed points ⋮ Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces ⋮ Applications of the Best Approximation Operator to *-Nonexpansive Maps in Hilbert Spaces ⋮ On Random Approximations and Random Fixed Point Theorems for 1‐Set‐Contractive Random Maps ⋮ Equivalence and stability of random fixed point iterative procedures ⋮ Random approximations and random fixed point theorems for random 1-setn-contractive non-self-maps in abstract cones ⋮ Random fixed point theorems and approximation ⋮ Best Approximation in Nonlinear Functional Analysis ⋮ On a fixed point theorem of Ky Fan ⋮ Some random approximation theorems with applications

Cites Work

• Unnamed Item
• Approximate selections, best approximations, fixed points, and invariant sets
• Construction of fixed points of nonlinear mappings in Hilbert space
• Extensions of two fixed point theorems of F. E. Browder
• Proximity Maps for Convex Sets
• A Note on a Theorem of Ky Fan
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• ON THE CONTINUITY OF METRIC PROJECTION IN BANACH SPACE

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