The acid-promoted condensation of the triazole (I) with a variety of ketones results in formation of triazolothiadiazines (III) in good yields.

The acid-promoted condensation of the triazole (I) with a variety of ketones results in formation of triazolothiadiazines (III) in good yields.

The reaction of N-(3-carbethoxy-4,5,6,7-tetrahydrobenzo[b]thien-2-yl)-N′-phenylthiourea (1) with hydrazine hydrate in 1-butanol afforded a mixture of compounds 2, 3 and 4. Treatment of 3 and 4 with nitrous acid gave 6 and 8 respectively, while reactions of 3 with acetylacetone gave 7. Synthesis of tetracyclic compounds 9a-f and 11 from the reactions of 3 with ethyl orthoformate or appropriate acids, acid chloride, carbon disulphide and/or ethyl chloroformate. Also its reaction with isothiocyanate derivatives gave the corresponding thiosemicarbzides 12a,b which on, refluxing in alcoholic KOH gave the unexpected tetracyclic products 14a,b. Similarly the tetracyclic compounds 16a-e and 19 were obtained by cyclization of 4 and 18 respectively.

The reaction of N-(3-carbethoxy-4,5,6,7-tetrahydrobenzo[b]thien-2-yl)-N′-phenylthiourea (1) with hydrazine hydrate in 1-butanol afforded a mixture of compounds 2, 3 and 4. Treatment of 3 and 4 with nitrous acid gave 6 and 8 respectively, while reactions of 3 with acetylacetone gave 7. Synthesis of tetracyclic compounds 9a-f and 11 from the reactions of 3 with ethyl orthoformate or appropriate acids, acid chloride, carbon disulphide and/or ethyl chloroformate. Also its reaction with isothiocyanate derivatives gave the corresponding thiosemicarbzides 12a,b which on, refluxing in alcoholic KOH gave the unexpected tetracyclic products 14a,b. Similarly the tetracyclic compounds 16a-e and 19 were obtained by cyclization of 4 and 18 respectively.

In this paper, we construct and study the convergence of the finite dimensional approximation for the mixed variational inequalities with J-pseudomonotone operators and convex nondifferentiable functionals in real uniformly smooth Banach spaces which admit a weakly sequentially continuous duality map.

In this paper, we construct and study the convergence of the finite dimensional approximation for the mixed variational inequalities with J-pseudomonotone operators and convex nondifferentiable functionals in real uniformly smooth Banach spaces which admit a weakly sequentially continuous duality map.