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NONLINEAR (m, p)-ISOMETRIC AND (2, p)-CONCAVE MAPPINGS ON COMPLEX NORMED SPACES
Journal article   Open access  Peer reviewed

NONLINEAR (m, p)-ISOMETRIC AND (2, p)-CONCAVE MAPPINGS ON COMPLEX NORMED SPACES

El Moctar Ould Beiba and Aydah Mohammed Ayed Al-Ahmadi
International journal of analysis and applications, Vol.18(2), pp.194-211
01/01/2020
DOI: https://doi.org/10.28924/2291-8639-18-2020-194

Abstract

Mathematics Physical Sciences Science & Technology
Let S be a self mapping on a complex normed space X. In this paper, we study the class of mappings satisfying the following condition Sigma(0 <= k <= m) (-1)(m-k)((k) (m))parallel to S(k)x - S(k)y parallel to(p) = 0 for all x, y is an element of X, where m is a positive integer. We prove some of the properties of these classes of mappings.
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https://doi.org/10.28924/2291-8639-18-2020-194View
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