Resonance theorems for family of quasi-homogeneous operators in fuzzy normed linear spaces

摘要

In this paper, we establish some resonance theorems for families of point-wise bounded (semi-bounded and non-unbounded) quasi-homogeneous and |‖·‖|-subadditive operators in fuzzy normed linear spaces. As their consequences, we obtain the corresponding resonance theorems in classical normed spaces and Menger probabilistic normed spaces.