Fixed point theorems on fuzzy normed linear spaces

Authors:
T. Bag;S. K. Samanta
Affiliations:
Department of Mathematics, Visva-Bharati University, Santiniketan 731 235, West Bengal, India;Department of Mathematics, Visva-Bharati University, Santiniketan 731 235, West Bengal, India
Venue:
Information Sciences: an International Journal
Year:
2006

Citing 6
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Abstract

In this paper, definitions of strongly fuzzy convergent sequence, l-fuzzy weakly convergent sequence and l-fuzzy weakly compact set are given in a fuzzy normed linear space. The concepts of fuzzy normal structure, fuzzy non-expansive mapping, uniformly convex fuzzy normed linear space are introduced and fixed point theorems for fuzzy non-expansive mappings are proved.