θ-R-continuous functions

Intuitionistic Fuzzy Continuous Functions on (R,A)

This article is a study of the intuitionistic fuzzy continuous functions on (R,A). A few results are proved in this context. AMS subject classification: 03E72, 03F55, 26E50, 46S40.

On Θ-precontinuous Functions

We introduce a new class of functions called θ-precontinuous functions which is contained in the class of weakly precontinuous (or almost weakly continuous) functions and contains the class of almost precontinuous functions. It is shown that the θprecontinuous image of a p-closed space is quasi H-closed. 2000 Mathematics Subject Classification. 54C08.

Between continuous and uniformly continuous functions on R n ∗

We study classes of continuous functions on R that can be approximated in various degree by uniformly continuous ones (uniformly approachable functions). It was proved in [BDP1] that no polynomial function can distinguish between them. We construct examples that distinguish these classes (answering a question from [BDP1]) and we offer appropriate forms of uniform approachability that enable us ...

On Pre-θ-Open Sets and Two Classes of Functions

Definition of Integrability for Partial Functions from R to R and Integrability for Continuous Functions

(1) Let F , F1, F2 be finite sequences of elements of R and given r1, r2. If F1 = 〈r1〉 F or F1 = F a 〈r1〉 and if F2 = 〈r2〉 F or F2 = F a 〈r2〉, then ∑(F1−F2) = r1− r2. (2) Let F1, F2 be finite sequences of elements of R. If lenF1 = lenF2, then len(F1 +F2) = lenF1 and len(F1−F2) = lenF1 and ∑(F1 +F2) = ∑F1 +∑F2 and ∑(F1−F2) = ∑F1−∑F2. (3) Let F1, F2 be finite sequences of elements of R. If lenF1 ...