Fuzzy transform is a powerful tool for approximation of continuous functions. The paper aims at constructing approximation models on the basis of a generalization of fuzzy partition. We will prove the best approximation properties in the corresponding approximation spaces. Mathematics Subject Classificaion: 41A30, 41A45

In this paper, we first introduce the concept of MT − K condition. Some best proximity point theorems for mappings satisfying MT − K condition instead of K-cyclic mappings are established in metric spaces. Our results generalize and improve some main results in [5] and references therein. Mathematics Subject Classification: 54H25

We present existence of common fixed point results as best simultaneous approximation for uniformlyR-subweakly mappings on non-starshaped domains in convex spaces. This work provides extension as well as substantial improvement of some results in the existing literature. 2010 Mathematics Subject Classification: 41A50, 47H10, 54H25.

In this paper, by using the way of weight function and the technic of real analysis, a new integral inequality with some parameters and a best constant factor is given, which is a relation to four basic Hilberttype integral inequalities. The equivalent form and the reverse forms are considered. Mathematics Subject Classification: 26D15

The focus of this paper is the existence of the best nonlinear least squares estimate for the shifted Gompertz distribution. As a main result, two theorems on the existence of the least squares estimate are obtained, as well as their generalization in the lp norm (1 ≤ p <∞). 2010 Mathematics Subject Classifications: 65D10, 65C20, 62J02

In this short review we study the state of the art of the great challenge of contemporary physics which is reconcile Quantum Theory and its best contribution the Standard Model of Particle Physics and General Relativity. The reconciliation passes undoubtedly through the idea of a fractal universe. Mathematics Subject Classification: Primary 83F05. Secondary 83C45