Michael Selection Theorem Under Weak Lower Semicontinuity Assumption

DOI10.2307/2048018zbMath0706.54018OpenAlexW4248874192MaRDI QIDQ3488127

Longin E. Rybiński, Krzysztof Przeslawski

Publication date: 1990

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2048018

zbMATH Keywords

continuous selectionclosed convex functionlower semi-continuous function

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Selections in general topology (54C65)

Related Items (14)

A new method for constructing invariant subspaces ⋮ On continuity properties of the modulus of local contractibility ⋮ Existence of solutions for a nonlinear integral equation via a hybrid fixed point theorem ⋮ Global monotonic solutions of multi term fractional differential equations ⋮ Almost convexity and continuous selections of the set-valued metric generalized inverse in Banach spaces ⋮ Concepts of lower semicontinuity and continuous selections for convex valued multifunctions ⋮ Existence of solution for nonlinear integral inclusions ⋮ A hybrid nonlinear alternative theorem and some hybrid fixed point theorems for multimaps ⋮ Selection theorems under an assumption weaker than lower semi-continuity ⋮ Generalized selection theorems without convexity ⋮ An application of the continuous selection theorem to the study of the fixed points of multivalued mappings ⋮ Continuous selections and retractive representations for the fixed points sets of set valued Reich's contractions ⋮ Approximations of upper semicontinuous maps on paracompact spaces ⋮ Lower semicontinuity concepts, continuous selections, and set valued metric projections

This page was built for publication: Michael Selection Theorem Under Weak Lower Semicontinuity Assumption