Development of Basic Science Approximate Fixed Point Theorems in Fuzzy Norm Spaces for Kannan and Chatterjea cyclical contraction operators

Let U, and Let U_i=۱,۲, m are subsets of a fuzzy norm linear space U and also T: OU → TU) CUT(U-۱) CUT(U) CU₁. We are going to consider element EU, such that d(u,T(u)) < ε for some ε. We define approximate fixed point and fuzzy diameter in fuzzy norm spaces for cyclical contraction mapping. We prove theorems for various types of well known generalized contractions on fuzzy norm spaces for cyclical contraction mapping with use of Two general lemmas are given regarding approximate fixed points of cyclical contraction mapping on fuzzy norm spaces. Finally, some examples are presented to illustrate our results for new approximate fixed point theorems on cyclical contraction maps.

کلیدواژه ها:

Cyclical operators ، Chatterjea operators ، Approximate fixed points ، Kannan operators