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The equivalence of Jungck-type iterations for generalized contractive-like operators in a Banach space

100%

Olaleru J. O. , Hudson A.

tom Nr 47

47--61

We show that the convergences of Jungck, Jungck- Mann, Jungck-Ishikawa, Jungck-Noor and Jungck-multistep itera¬tion processes are equivalent for a class of generalized contractive- like operators defined on a Banach space. Our results are general¬izations and extensions of the work of Soltuz [20, 21], Zhiqun [23] and some other numerous ones in literature.

Synthesis and Biological Activities of Novel 1,2,3,5-Tetrahydroimidazo[2,1-b]quinazoline Derivatives

61%

Kornicka A. , Sączewski F. , Petrusewicz J. , Rejdych A. , Tyacke R. , Hudson A. , Nutt D.

2005

tom Vol. 79 / nr 1

89-100

A series of variously substituted 1,2,3,5-tetrahydroimidazo[2,1-b]quinazoline derivatives 3-4 and 6-7 were prepared by the reactions of 2-chloro-4,5-dihydroimidazole (1) with the appropriate 2-aminophenyl ketones 2 and 5. The structures of the new compounds obtained were determined by elemental analysis as well as IR and NMR spectroscopic data. Biological activities of the compounds 3 and 6 was examined on P2 membrane preparations obtained from rat whole brains and rat tail artery. Among the compounds tested, 5-methylidene-1,2,3,5-tetrahydroimidazo[2,1-b]quinazoline (6a) showed high and moderate binding affinities to I2 imidazoline (Ki = 5.2 nM) and alfa2-adrenergic (Ki = 149 nM) receptors, respectively.