Condensing operators and topological degree theory in standard fuzzy normed spaces
In this paper level-cut measures of noncompactness are introduced in standard fuzzy normed spaces and condensing operators are studied. Using the extensions of nonlinear compact operators, topological degree theory with respect to condensing operators is given in standard fuzzy normed spaces. As an application of degree theory, a fixed point theorem for condensing operators is presented. (C) 2009 Elsevier B.V. All rights reserved.
condensing operator topological degree fuzzy normed space fuzzy number extension of operator