A Study of Approximation Properties in Felbin-Fuzzy Normed Spaces

Abstract

In this paper, approximation properties in Felbin-fuzzy normed spaces are studied. These approximation properties have been recently introduced in Felbin-fuzzy normed spaces. We make topological tools to analyze such approximation properties. We especially develop the representation of dual spaces related to our contexts. By using this representation, we establish characterizations of approximation properties in terms of infinite sequences. Finally, we provide dual problems for approximation properties and their results in our contexts.

Keywords

• felbin-fuzzy normed space
• approximation property
• bounded approximation property
• topological duals
• dual problems