In this paper, we present the concept of generalized invexity for vector-valued functions. Also, we consider different kinds of generalized vector variational-like inequality and a vector optimization problem. Some relations between vector variational-like inequalities and a vector optimization problem are established by using the properties of Mordukhovich limiting subdifferential. Acknowledge...

We study weak gravitational lensing of galaxy clusters in terms of the MOND (modified Newtonian dynamics) theory. We calculate shears and convergences of background galaxies for three clusters (A1689, CL 0024+1654, and CL 1358+6245) and the mean profile of 42 SDSS (Sloan Digital Sky Survey) clusters and compare them with observational data. The mass profile is modeled as a sum of X-ray gas, gal...

Some of the main results of the Perron-Frobenius theory of square nonnegative matrices over the reals are extended to matrices with elements in a real closed field. We use the results to prove the existence of a fractional power series expansion for the Perron-Frobenius eigenvalue and normalized eigenvector of real, square, nonnegative, irreducible matrices which are obtained by perturbing a (p...

We generalize in various directions a result of Friedland and Karlin on a lower bound for the spectral radius of a matrix that is positively diagonally equivalent to a • The research of these authors was supported by their joint grant No. 90-00434 from the United States-Israel Binational Science Foundation, Jerusalem, Israel. t The research of this author was supported in part by NSF Grant DMS-...

Abstract Introduction The circadian rhythm plays a critical role in many biological processes. Recently, autophagy was suggested as regulating factor of by reducing protein trafficking. Cereblon (CRBN) is component the E3 ubiquitin ligase complex for ubiquitination and degradation target proteins. Interestingly, cereblon ubiquitinates beclin 1, potent inducer. Accordingly, changes are likely to...

We present new results from deep GALEX UV imaging of the cluster Cl 0024+17 at z ∼ 0.4. Rest-frame far UV emission is detected from a large fraction of so-called “passive spiral galaxies” –a significant population which exhibits spiral morphology with little or no spectroscopic evidence for ongoing star formation. This population is thought to represent infalling galaxies whose star formation h...

SYNTHESIS 2010, No. x, pp 000A–000Exx.xx.2010 Advanced online publication: xx.xx.2010 DOI: 10.1055/s-0029-1218741; Art ID: P00610SS © Georg Thieme Verlag Stuttgart · New York Abstract: A total synthesis of the naturally occurring dihydropyranone dodoneine is reported. The combination of a highly catalytic enantioselective allylboration and a highly diastereoselective allylstannation was used fo...