In this paper, we study fuzzy calculus in two main branches differential and integral.  Some rules for finding limit and $gH$-derivative of $gH$-difference, constant multiple of two fuzzy-valued functions are obtained and we also present fuzzy chain rule for calculating  $gH$-derivative of a composite function.  Two techniques namely,  Leibniz's rule and integration by parts are introduced for ...

recently, zhang and song [q. zhang, y. song, fixed point theory forgeneralized $varphi$-weak contractions,appl. math. lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. in this paper, we prove a common fixed point theorem fora family of compatible maps. in fact, a new generalization of zhangand song's theorem is given.

Let T be a compact Hausdorff topological space and let M denote an n–dimensional subspace of the space C(T ), the space of real–valued continuous functions on T and let the space be equipped with the uniform norm. Zukhovitskii [7] attributes the Basic Theorem to E.Ya.Remez and gives a proof by duality. He also gives a proof due to Shnirel’man, which uses Helly’s Theorem, now the paper obtains a...

Recently, Zhang and Song [Q. Zhang, Y. Song, Fixed point theory forgeneralized $varphi$-weak contractions,Appl. Math. Lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. In this paper, we prove a common fixed point theorem fora family of compatible maps. In fact, a new generalization of Zhangand Song's theorem is given.

a famous theorem of schur states that for a group $g$ finiteness of $g/z(g)$‎ ‎implies the finiteness of $g'.$ the converse of schur's theorem is an interesting problem which has been considered by some‎ ‎authors‎. ‎recently‎, ‎podoski and szegedy proved the truth of the converse of schur's theorem for capable groups‎. ‎they also established an explicit bound for the index of the center of such...

Let T : X → Y be a bounded linear map between Banach spaces X and Y . Let T ∗ : Y ∗ → X∗ be its adjoint. Let BX and BY ∗ be the closed unit balls of X and Y ∗ respectively. We obtain apparently new estimates for the covering numbers of the set T ∗ (BY ∗ ). These are expressed in terms of the covering numbers of T (BX), or, more generally, in terms of the covering numbers of a “significant” subs...

The antiproteolytic activity of serum, and its changes in association with disease are little understood in spite of the extensive work that has been done in this field. The increase in inhibition by serum during various disease states has been repeatedly studied since the original observation of Ascoli and Bezzola in 1903 (1) (reviews, 2, 3). Trypsin has been the enzyme usually employed in the...

Results presented in the previous paper (Ascoli, M., and Puett, D. (1978) J. Biol. Chem. 253, 7832--7838) show that the degradation of receptor-bound 125I-labeled human choriogonadotropin can be inhibited by chloroquine, protease inhibitors, and metabolic inhibitors. These compounds were also shown to inhibit gonadotropin-stimulated steroidogenesis. It is reported herein that these inhibitors a...

8. Angiero F, Torti S, Crippa R, Stefani M. Oral metastasis of ciliary body melanoma. A case report. Minerva Stomatol. 2006;55:401--7. 9. Manganaro AM, Hammond HL, Dalton MJ, Williams TP. Oral melanoma: case reports and review of the literature. Oral Surg Oral Med Oral Pathol Oral Radiol Endod. 1995;80: 670--6. 10. de Troya-Martin M, Blazquez-Sanchez N, Fernandez-Canedo I, Frieyro-Elicegui M, F...