On midpoint convex set-valued functions

DOI10.1007/BF01836150zbMath0639.39012MaRDI QIDQ1100363

Kazimierz Nikodem

Publication date: 1987

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137201

zbMATH Keywords

set-valued functionscontinuityboundednessconvexitymeasurabilitytopological vector space

Mathematics Subject Classification ID

Set-valued functions (26E25) Convexity of real functions of several variables, generalizations (26B25) Systems of functional equations and inequalities (39B72)

Related Items (14)

Bernstein-Doetsch type theorems with Tabor type error terms for set-valued maps ⋮ On modified convex interval valued functions and related inclusions via the interval valued generalized fractional integrals in extended interval space ⋮ On the continuity of midpoint hull convex set-valued functions ⋮ Weighted Hermite-Hadamard type inclusions for products of co-ordinated convex interval-valued functions ⋮ Hadamard inequality and a refinement of Jensen inequality for set-valued functions ⋮ Hermite-Hadamard-Mercer type inclusions for interval-valued functions via Riemann-Liouville fractional integrals ⋮ Strongly convex set-valued maps ⋮ Common fixed point theorems for multimaps in locally convex spaces and some applications ⋮ Some representations of midconvex set-valued functions ⋮ Unnamed Item ⋮ Hölder continuity of generalized convex set-valued mappings ⋮ Maximum theorems with strict quasi-concavity and applications ⋮ Fractional Hermite-Hadamard-type inequalities for interval-valued functions ⋮ Hermite-Hadamard type inequalities for interval-valued fractional integrals with respect to another function

Cites Work

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• Regularity and Stability for Convex Multivalued Functions
• On Convex Functions
• On the sum and difference of two sets in topological vector spaces
• An Embedding Theorem for Spaces of Convex Sets

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