[PDF] Top 20 A new system of generalized quasi variational like inclusions with noncompact valued mappings

... In this article, we study the problem (1.1). By using the h proximal mapping techni- que, we prove the existence of solutions and approximate the solutions by some new N -step iterative algorithms. Our results ... See full document

... a new class of generalized nonlinear set- valued quasi-variational inclusions system involving A, η-accretive mappings in Banach ...η-accretive mappings and ... See full document

... a new system of generalized nonlinear mixed quasivariational inclusions which contains some classes of system of variational inclusions and systems of variational ... See full document

... the generalized set-valued variational inequalities under the assumption that the operator underlying is monotone with the respect to the first and second ...that variational inclusion of ... See full document

... the mappings η, M, N, A, B, C, D, G, g, φ and the space E, one can obtain from problem ...and new classes of generalized variational and quasivariational inequalities (inclusions) and ... See full document

... a new system of random nonlinear generalized variational inclusions involving random fuzzy mappings and set-valued mappings with H · , · -monotonicity in two ... See full document

... of generalized mixed type quasi-variational inequalities and also to develop a large number of numerical methods for solving various variational inequalities, complementarity prob- lems, and ... See full document

... a new class of completely generalized multivalued nonlinear quasi-variational inclusions for multivalued ...two new iterative algorithms for solving the completely ... See full document

... of generalized resolvent operators. Lan 10 studied a system of general mixed quasivariational inclusions involving A, η-accretive mappings in q-uniformly smooth Banach ...set-valued ... See full document

... introduce new approximation methods for solutions of generalized non-accretive multi-valued mixed quasi-variational inclusion systems involving (A, η )-accretive mappings in ... See full document

... of variational inequalities ...provide new insight concerning the problem being studied and stimulate ideas for solving ...for variational inequalities have been studied extensively by many authors ... See full document

... a New Class of Nonlinear Set-Valued Variational Inclusions Involving (A, η)-Monotone Mappings,” Journal of Mathematical Analysis and Applications, ... See full document

... of variational inequalities ...provide new insight concerning the problem being studied and stimulate ideas for solving ...for variational inequalities have been studied extensively by many authors ... See full document

... Theorem . Let H(A, B) be η-cocoercive with respect to A with constant μ >  and η-relaxed cocoercive with respect to B with constant γ > , A is α-expansive and B is β-Lipschitz continuous, μ > γ and α > β ... See full document

... For suitable and appropriate conditions imposed on the mappings C, N, H, D, T , A, M, η and g and by means of the fixed point theorem, we establish some existence results of solutions for the problem (P ). It is ... See full document

... In this work, we utilize a scalarization method to introduce a system of nonsmooth vector quasi-variational inequalities. We also study their relationship to Debreu type vector equilibrium problems. ... See full document

... In order to prove the main results, we need the following definitions and lemmas. Definition 1.1 (see [15]). Let E , Y be two real topological vector spaces, X be a nonempty and convex subset of E, C : X → 2 Y be a ... See full document

... To set the tone, let us note that () could alternately and quite easily be obtained as a consequence of two distinct fundamental topological fixed point principles for set-valued maps. The first approach uses the ... See full document

... Suppose that i K: Xw -> 2X is a continuous correspondence with nonempty closed and convex values such that Kx is either finite dimensional or solid for each x E X; ii F: Xw -> 2Y is an u[r] ... See full document

... multivalued quasi-variational inequality for fuzzy ...multivalued mappings this problem has been considered by Noor [37, 39], using the projection method and the implicit Wiener-Hopf equation ... See full document