In this paper, we prove the convergence of some new three-step iterative algorithms for a new system of generalized nonlinear mixed quasivariational inclusions in q-uniformly smooth Banach spaces. Mathematics Subject Classification: 49J35, 49J40

Abstract This article aims to introduce and analyze the viscosity method for hierarchical variational inequalities involving a ϕ -contraction mapping defined over common solution set of inclusion fixed points nonexpansive on Hadamard manifolds. Several consequences composed its convergence theorem are presented. The results this generalize extend some existing from Hilbert/Banach spaces We also...

This paper is devoted on the one hand to the study of specific properties of an evolution variational inequality, holding in the Hilbert setting. We give on the other hand a general criterion for Lyapunov pairs of this dynamical system and some results on the asymptotic behaviour of the solution. Key-words: Differential inclusions Evolution variational inequalities Proximal normal cone Uniforml...

It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without assuming the differentiability of the given data. Since the extended general mixed variational inequalities include extended general variational ...

In this paper, a class of generalized general mixed quasi variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for the generalized general mixed quasi variational inequalities, suggest a predictor-corrector method for solving the generalized general mixed quasi variational inequalities by using the auxiliary principle technique. If ...

this paper is devoted to the spectral theory (more precisely, tothe variational theory of the spectrum) of guided waves in anelastic half cylinder.  we use variational methods to investigateseveral aspects of propagating waves, including localization (seefigure 1), existence criteria and the formulas to find them. weapproach the problem using two complementary methods: thevariational methods fo...

this paper is devoted to the spectral theory (more precisely, tothe variational theory of the spectrum) of guided waves in anelastic half cylinder.  we use variational methods to investigateseveral aspects of propagating waves, including localization (seefigure 1), existence criteria and the formulas to find them. weapproach the problem using two complementary methods: thevariational methods fo...

In this paper, a new system of nonlinear set-valued variational inclusions involving (H, η)-monotone mappings in Hilbert spaces is introduced and studied. By using the resolvent operator method associated with (H, η)-monotone mappings, an existence theorem of solutions for this kind of system of nonlinear set-valued variational inclusion is established and a new iterative algorithm is suggested...

In this paper, we suggest and analyze a class of iterative schemes for solving generalized multivalued nonlinear quasi-variational like inclusion problems using the concept of η-subdifferential and η-proximal mappings of a proper functional on Hilbert spaces. A detailed convergence analysis of our method is also included.