A degree theory for almost continuous functions

Contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions

The notion of contra continuous functions was introduced and investigated by Dontchev. In this paper, we apply the notion of $beta^{*}$-closed sets in topological space to present and study a new class of functions called contra $beta^{*}$-continuous and almost contra $beta^{*}$-continuous functions as a new generalization of contra continuity.

Fuzzy Almost Continuous Functions

In this paper, we further study properties of fuzzy almost continuous functions in Singal’s and Hussain’s sense and establish a condition for their equivalence which is an improvement of Theorem 5.5 of [2]. Some divergences from straightforward fuzzification of General Topology have also been noted in Example 1 and Theorem 4. We also define fuzzy almost weakly continuous and fuzzy nearly almost...

Almost Slightly νg−Continuous Functions

In this paper we discuss a new type of continuous functions called almost slightly νg−continuous functions; its properties and interrelation with other continuous functions are studied.

Fixed Point Theory for Almost Convex Functions

A General Theory of Almost Convex Functions

Let ∆m = {(t0, . . . , tm) ∈ Rm+1 : ti ≥ 0, ∑m i=0 ti = 1} be the standard m-dimensional simplex and let ∅ = S ⊂ ⋃∞ m=1 ∆m. Then a function h : C → R with domain a convex set in a real vector space is S-almost convex iff for all (t0, . . . , tm) ∈ S and x0, . . . , xm ∈ C the inequality h(t0x0 + · · ·+ tmxm) ≤ 1 + t0h(x0) + · · ·+ tmh(xm) holds. A detailed study of the properties of S-almost co...