A normed space $mathfrak{X}$ is said to have the fixed point property, if for each nonexpansive mapping $T : E longrightarrow E $ on a nonempty bounded closed convex subset $ E $ of $ mathfrak{X} $ has a fixed point. In this paper, we first show that if $ X $ is a locally compact Hausdorff space then the following are equivalent: (i) $X$ is infinite set, (ii) $C_0(X)$ is infinite dimensional, (...

The catalytic highly regio-, diastereo-, and enantioselective synthesis of a small library of spiropyrrolizidineoxindolesvia a four-component 1,3-dipolar cycloaddition reaction of azomethine ylides, derived from isatin, with electron-deficient dipolarophilewas described. The process occurs at room temperature in aqueous ethanol as a green solvent and in the presence of a bidendatebis(imine)–Cu(...

this study reports the synthesis of chitosan anchored schiff base, ([2-oxo-1h-indol-3-ylidene] amino) chitosan and its cu (ii) metal complex. the complex was characterized by elemental analysis, ft-ir spectrum, thermogravimetry analysis .the crystallinity of the compound was analyzed by powder x-ray diffraction technique. the catalytic efficiency of complex was studied in the oxidation of alcoh...

The reactions of 1 - chloro - 2 - nitro benzene with 2 - Amino thio phenol yield the 2 - ( ( nitro phenyl ) thio ) aniline and then 2 , 2' - thio dianiline of this compound was prepared . Also the symmetrical potentially pentadentate N 2 O 2 S Schiff base ligand 2 , 2' - ( ( ( thio bis (1 , 2 - phenylene ) ) bis ( azanilidene ) ) bis ( methenilidene ) ) diphenol ( H 2 L ) obtain by added salicy...

the reaction of an equivalent of 2- mercaptoethyl ammonium chloride with an equivalent of 2,6-diformyl -4- methyl phenol produced monoamine which was reacted with half equivalent of 1,2-diamine ethane to produce ethylene-bis-6-(2-mercapto-ethyl-imine)-methyl -4- methyl phenol [h4l]. the ligand was reacted with metal ions[cr(iii), mn(ii), fe(ii), co(ii), ni(ii), cu(ii), zn(ii), cd(ii), and hg(ii...