Sequentially quotient mappings

On Fuzzy Quotient Mappings

Azad [1] introduced the concepts of fuzzy semi-open sets and fuzzy semi-continuous mappings. Fuzzy α-open sets and fuzzy α-continuous functions were introduced by Mashhour et. al. [4] and Singal et. al. [6] respectively. The concepts of fuzzy pre-open sets and fuzzy pre-continuous mappings were introduced by Bin Sahana [2]. In this paper the concepts of fuzzy α-quotient maps, fuzzy semi quotien...

Sequentially Continuous Linear Mappings in Constructive Analysis

Uniform Quotient Mappings of the PlanebyW

It is shown that if f is a mapping of the plane onto itself that is uniformly continuous with modulus of continuity (r) which is o(p r) as r ! 0 and f is also co-uniformly continuous then f = P h where h is a homeomorphism of the plane and P is a complex polynomial. The same conclusion holds also under other assumptions on the moduli of uniform and co-uniform continuity. However, we also presen...

Uniform Quotient Mappings of the Plane

It is shown that if f is a mapping of the plane onto itself that is uniformly continuous with modulus of continuity Ω(r) which is o( √ r) as r → 0 and f is also co-uniformly continuous then f = P ◦ h where h is a homeomorphism of the plane and P is a complex polynomial. The same conclusion holds also under other assumptions on the moduli of uniform and co-uniform continuity. However, we also pr...

Cdmtcs Research Report Series Sequentially Continuous Linear Mappings in Constructive Analysis Sequentially Continuous Linear Mappings in Constructive Analysis