ON SETS OF METRIC REGULARITY OF MAPPINGS IN SPACES WITH VECTOR-VALUED METRIC-Reference-Cited by-同舟云学术

ON SETS OF METRIC REGULARITY OF MAPPINGS IN SPACES WITH VECTOR-VALUED METRIC

Published:2018 Issue:123 Volume: Page:547-554
ISSN:1810-0198
Container-title:Tambov University Reports. Series: Natural and Technical Sciences
language:
Short-container-title:Tamb. Un. Rep. Ser. Nat. Tech. Sci.

Author:

Pluzhnikova Elena Aleksandrovna¹,Zhukovskaya Tatyana Vladimirovna²,Moiseev Yuriy Anatol’evich¹

Affiliation:

1. Tambov State University named after G.R. Derzhavin

2. Tambov State Technical University

Abstract

Spaces with vector-valued metric are considered. The values of a vectorvalued metric are elements of a cone in some linear normed space. The concept of the set of metric regularity for mapping in spaces with vector-valued metric is formulated. A statement on the stability of the set of metric regularity of a given mapping for its Lipschitz perturbations in spaces with vector-valued metric is obtained.

Funder

Russian Foundation for Basic Research

Publisher

Tambov State University - G.R. Derzhavin

Reference8 articles.

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