On the existence of continuous selections of a multivalued mapping related to the problem of minimizing a functional

DOI10.20310/2686-9667-2022-27-139-284-299OpenAlexW4312818185MaRDI QIDQ5053771

Rafik A. Khachatryan

Publication date: 7 December 2022

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu265

zbMATH Keywords

continuous selectionsmultivalued mappingprojection operatorstrictly convex functionsfixed points of mappingset of \(\epsilon \)-optimal points

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Cites Work

• Continuous selections. I
• Implicit Functions and Solution Mappings
• CONTINUITY OF A MULTIVALUED MAPPING CONNECTED WITH THE PROBLEM OF MINIMIZING A FUNCTIONAL
• Optimization Problems with Perturbations: A Guided Tour
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