The purpose of this paper is to analyze the convergence of the iterative methods for mixed variational inequalities with convex nondifferentiable functionals and J-pseudomonotone, J-potential and J-coercive operators in real uniformly smooth Banach spaces. Such inequalities arise, in particular, in descriptions of stabilized filtration and equilibrium problems for soft shells. Our results extend some results of [1] from real Hilbert spaces to real uniformly smooth Banach spaces with modulus of smoothness of power type q>1 which admit a weakly sequentially continuous duality map.

The purpose of this paper is to analyze the convergence of the iterative methods for mixed variational inequalities with convex nondifferentiable functionals and J-pseudomonotone, J-potential and J-coercive operators in real uniformly smooth Banach spaces. Such inequalities arise, in particular, in descriptions of stabilized filtration and equilibrium problems for soft shells. Our results extend some results of [1] from real Hilbert spaces to real uniformly smooth Banach spaces with modulus of smoothness of power type q>1 which admit a weakly sequentially continuous duality map.

An analysis is presented to investigate the effects of chemical eaction, thermal stratification Sort number and Dufour number for magnetohydrodynamic free convctive heat and mass transfer of a viscous and incompreessable and ellectrically conduction flluid in vertical strechinf surface emmbeded in a saturated porors media . The govrning patail eqs have benn transformed by a simmialrity transformation into a system ordinary differentional equation which are solved numerically using a fourth order Rung Kutta schem with the sooting method . the results obtained show that the field is influnced apprecaciaply by the presence of chemical reaction , thermal statification, Sort number, Dufour number and magnetic field.