On soft linear spaces and soft normed linear spaces

By Sujoy Kumar Das, Pinaki Majumdar, Syamal Kumar Samanta. 2013

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In the present paper a notion of soft linear space and soft norm on a soft linear space have been presented and some of their prop- erties have been studied. Soft vectors in soft linear spaces are introduced and their properties are investigated. Completeness of soft normed linear spaces, equivalent soft norms and convex soft sets are defined and some of their properties are examined in soft normed linear space settings. 2010 AMS Classification: 03E72, 08A72

Subfields: Computational Theory and Mathematics, Geometry and Topology, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/b223a49359863f7bfa9c9a6b72f9118f088bb6af