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A Riemann Integral with Values in a Metric Space: I
Author(s) -
Janiec Eugeniusz
Publication year - 1991
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-44.3.445
Subject(s) - mathematics , space (punctuation) , riemann integral , metric (unit) , riemann hypothesis , pure mathematics , mathematical analysis , computer science , integral equation , economics , operations management , operating system , singular integral
In the present paper, we introduce a Riemann definite integral with values in an arbitrary metric space and describe its basic properties. This integral is a generalization of the classical Riemann—Stieltjes definite integral as well as a generalization of solutions of the differential equations of the type y ′ = f ( x,y ).
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