A Note on Expansive Mappings

A NOTE ON INTUITIONISTIC FUZZY MAPPINGS

In this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. Moreover, some basicoperations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebrawith respect to these operations. Afterwards, the A...

A Note on Logharmonic Mappings

where (a) m is nonnegative integer, (b) β= a(0)(1+a(0))/(1−|a(0)|2) and therefore, β >−1/2, (c) h and g are analytic in U , g(0)= 1, and h(0)≠ 0. Univalent logharmonic mappings on the unit disc have been studied extensively. For details see [1, 2, 3, 4, 5, 6, 7, 8]. Suppose that f is a univalent logharmonic mapping defined on the unit disc U . Then, if f(0) = 0, the function F(ζ) = log(f (eζ)) ...

a note on intuitionistic fuzzy mappings

in this paper, the concept of intuitionistic fuzzy mapping as a generalization of fuzzy mapping is presented, and its' relationship with intuitionistic fuzzy relations is derived. moreover, some basicoperations of intuitionistic fuzzy mappings are defined, hence we can conclude that all of intuitionistic fuzzy mappings constitute a soft algebrawith respect to these operations. afterwards, the a...

On the Length of the Periods of Non-expansive Mappings

Upper bounds are given for the maximum period of periodic solutions of non-expansive mappings in the Banach space (IR n ; j j) with 1 < < 1. Basic in the derivation of these upper bounds are a theorem of Banach on rotations 2] and a geometric property of (IR n ; j j) for 6 = 2 5]. This paper provides a valid proof of a conjecture which appeared in 9]. Some remarks are made about what is diieren...

Modified Halpern Iteration of Asymptotically Non-Expansive Mappings