Some results on (δ-pre,s)-continuous functions

Some results on (δ-pre, s)-continuous functions

One of the important and basic topics in general topology and several branches of mathematics which have been researched by many authors is the continuity of functions. In this paper, we study (δ-pre, s)-continuous functions as a new weaker form of continuity. In 1996, Dontchev [3] introduced contra-continuous functions, and Jafari and Noiri [10] introduced contra-precontinuous functions (in 20...

Some Results on Convex Spectral Functions: I

In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...

On somewhat fuzzy δ-continuous functions

In this paper the concepts of somewhat fuzzy δ-continuous functions, somewhat fuzzy δ-open functions between fuzzy topological spaces are introduced and studied. Besides giving characterizations of these functions, several interesting properties of these functions are studied. The concepts of fuzzy δ-resolvable spaces and fuzzy δ-irresolvable spaces are also introduced and studied in this paper...

Intuitionistic Fuzzy δ-continuous Functions

In this paper, we characterize the intuitionistic fuzzy δ-continuous, intuitionistic fuzzy weakly δ-continuous, intuitionistic fuzzy almost continuous, and intuitionistic fuzzy almost strongly θ-continuous functions in terms of intuitionistic fuzzy δ-closure and interior or θ-closure and interior.

Some results on continuous frames for Hilbert Spaces