Title: Continuity and convergence on neutrosophic soft normed linear spaces

Authors: Tuhin Bera; Nirmal Kumar Mahapatra

Addresses: Department of Mathematics, Boror S. S. High School, Bagnan, Howrah, 711312, WB, India ' Department of Mathematics, Panskura Banamali College, Panskura RS-721152, WB, India

Abstract: A soft linear space with a neutrosophic norm defined on it is called a neutrosophic soft normed linear space (NS_NLS). The notions of compact soft set, continuity and uniform continuity of neutrosophic soft function defined in NS_NLS are introduced in this study. These are explained by suitable examples. In continuation, the convergence and uniform convergence of a sequence of neutrosophic soft functions over NS_NLS are defined along with proper examples. All these concepts are extended by developing some basic theorems.

Keywords: neutrosophic set; neutrosophic soft norm; neutrosophic soft normed linear space (NS_NLS); compactness on NS_NLS; continuity and uniform continuity in NS_NLS; convergence and uniform convergence in NS_NLS.

DOI: 10.1504/IJFCM.2020.110206

International Journal of Fuzzy Computation and Modelling, 2020 Vol.3 No.2, pp.156 - 186

Received: 09 Aug 2019
Accepted: 24 Jun 2020
Published online: 08 Oct 2020 *

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