Convexity of Chebyshev Sets in Hilbert Spaces
Hadi Haghshenas
TL;DR
This paper investigates the conditions under which Chebyshev sets in Hilbert spaces are convex, providing theoretical insights into their geometric properties.
Contribution
It establishes specific conditions that guarantee the convexity of Chebyshev sets in Hilbert spaces, advancing understanding of their structure.
Findings
Identifies sufficient conditions for convexity
Provides theoretical proofs for convexity criteria
Enhances geometric understanding of Chebyshev sets
Abstract
The aim of this paper is state of conditions that ensure the convexity of a Chebyshev sets in Hilbert spaces .
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Mathematical Approximation and Integration · Optimization and Variational Analysis