[PDF] Top 20 Completely generalized multivalued nonlinear quasi variational inclusions

... of completely generalized multivalued nonlinear quasi- variational ...the completely generalized multivalued nonlinear quasi-variational ... See full document

... implicit quasi-variational inequalities with random multivalued mappings in Hilbert spaces, construct some random iterative algorithms, and give some existence theorems of random solutions for this ... See full document

... Introduction. Variational inequality theory provides us with a unified framework for dealing with a wide class of problems arising in elasticity, structural analysis, eco- nomics, physical and engineering sciences, ... See full document

... of generalized resolvent ...quasivariational inclusions involving A, η-accretive mappings in q-uniformly smooth Banach ...of nonlinear A, η-monotone operator inclusion systems involving nonmonotone ... See full document

... general nonlinear set-valued inclusions problem based on an (A, η)-accretive framework and sug- gested and discussed an Ishikawa-hybrid proximal point algorithm for solving the inclu- sions ...the ... See full document

... and inclusions [1, 3, 6, 25–29, 42]. Equally important is variational inequality theory, which constitutes a significant and important extension of the variational ...principle. Variational ... See full document

... [16] S. H. Shim, S. M. Kang, N. J. Huang and Y. J. Cho, “Perturbed Iterative Algorithms with Errors for Com- pletely Generalized Strongly Nonlinear Implicit Quasivaria- tional Inclusions,” Journal of ... See full document

... [2] R. Ahmad, F. Usman and S. S. Irfan, “Mixed variational inclusions and -resolvent equations with fuzzy mappings,” J. Fuzzy Mathematics, vol. 17(2), 2009, pp. 437-450. [3] Ya. Alber, “Metric and ... See full document

... of variational inequality provides a natural and elegant framework for study of many seemingly un- related free boundary value problems arising in various branches of engineering, mathematics and financial sci- ... See full document

... the variational inequality problem, the fixed point problem, the nonlinear complementarity problem, the Nash equilibrium problem in noncooperative games, and the vector optimization problem; see 9–12 and ... See full document

... extensively variational inequalities and variational inclusions, which are providing mathematical models to some problems arising in economics, me- chanics, and engineering science, Ding [1], Huang ... See full document

... The nonlinear set-valued inclusions system, which was introduced and studied by Has- souni and Moudafi [], is a useful and important extension of the variational inequality and variational ... See full document

... new generalized nonlinear mixed quasi-variational-like inequality in Hilbert ...auxiliary generalized nonlinear mixed quasi-variational-like ... See full document

... Remark  Results presented in the paper are significant improvement and extension of the results obtained previously by many authors. Especially, our Theorem . extends the existence of solution in the literature to the ... See full document

... In this section, we propose a modification of the two-layer iteration method (.) by the boundary point method to establish strong convergence theorems of the modified itera- tion for finding the minimum norm solution of ... See full document

... namely, generalized quasi-variational inequalities QVI, variational-like inequalities of the Stampacchia type VIS, multivalued complementarity problems MCP, or general op- timal control ... See full document

... of generalized quasi variational type inequalities for (η,h)-quasi-pseudo-monotone opera- tors defined as compact sets in topological vector ...the generalized version of Ky Fan’s mini- ... 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

... The above example is a particular case of a more general result on quasi-pseudo- monotone type II operators. We will establish this result in the following proposition. Proposition 1.5. Let X be a nonempty compact ... See full document

... for multivalued mappings, the existence of nonzero solutions for a class of generalized variational inequalities is studied in reflexive Banach ... See full document