[PDF] Top 20 Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators
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Some results on approximate solutions of variational inequality problems for inverse strongly monotone operators
... Finally, the following theorem due to Yamada [] is connected with Theorem .. Theorem . Let C be a bounded subset of a Hilbert space H and S be a nonexpansive mapping of H into C. Let A be an injective operator ... See full document
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Existence and approximation of solutions for generalized extended nonlinear variational inequalities
... many problems of analysis, one encounters operators who may be split in the form S = A ± T , where A and T satisfy some conditions, and S itself has neither of these prop- ...of solutions on ... See full document
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Approximate solutions to variational inequality over the fixed point set of a strongly nonexpansive mapping
... Variational inequality problems over fixed point sets of nonexpansive mappings include many practical problems in engineering and applied mathematics, and a number of iterative methods have ... See full document
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A new algorithm for variational inequality problems with alpha-inverse strongly monotone maps and common fixed points for a countable family of relatively weak nonexpansive maps, with applications
... 5.2. Approximating a solution of complementarity problem. Let C be a nonempty closed and convex subset of E and A : C → E ∗ be a map. Let the polar in E ∗ be defined by the set C ∗ = {y ∗ ∈ E ∗ : hx, y ∗ i ≥ 0, for all x ... See full document
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Solution sensitivity of generalized nonlinear parametric (A,η,m) proximal operator system of equations in Hilbert spaces
... η)-monotone operators, which generalizes the (H, η)-monotonicity and A-monotonicity in Hilbert spaces and other existing monotone operators as special cases, and studied some properties ... See full document
17
An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces
... maximal monotone operator and the solution set of the variational inequality problem for an inverse strongly-monotone operator in a uniformly smooth and uniformly convex Banach ... See full document
16
Existence Results for System of Variational Inequality Problems with Semimonotone Operators
... of variational-like inequalities with generalized monotone mappings in Banach ...of solutions for variational-like inequalities with relaxed monotone mappings in reflexive Banach ...of ... See full document
14
Generalized Bi Quasivariational Inequalities for Quasi Pseudomonotone Type II Operators on Noncompact Sets
... obtain some general theorems on solutions for a new class of generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone ... See full document
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Weak convergence theorems for inverse-strongly skew-monotone operators and generalized mixed equilibrium problems in Banach spaces
... of solutions for the generalized mixed equilibrium problems, the common fixed points set of two generalized nonexpansive type mappings, and the set of solutions of the variational ... See full document
19
A General Iterative Approach to Variational Inequality Problems and Optimization Problems
... of solutions of variational inequality problem for an inverse-strongly monotone mapping and the set of fixed points of a nonexpansive mapping in a Hilbert space and then ... See full document
20
A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space
... to approximate a common element of a fixed point set, the solutions of equilibrium problems, the solution set of variational inequality problems, and the set of zeros of maximal ... See full document
18
Some solutions of fractional inverse problems
... Keywords: tensor product; Banach spaces; non-degenerate Cauchy problem; fractional derivative1. 2010 AMS Subject Classification: 47D06.[r] ... See full document
9
Existence theorems of generalized quasi variational like inequalities for pseudo monotone type II operators
... existence results of solutions for a new class of generalized quasi-variational-like inequalities (GQVLI) for pseudo-monotone type II operators defined on compact sets in locally convex ... See full document
18
Some eigenvalue results for perturbations of maximal monotone operators
... compact operators. Regarding maximal monotone operators, it has been extensively investigated by many researchers in various aspects, with applications to evolution equations and differential ... See full document
15
Controllability for nonlinear evolution equations with monotone operators
... Remark . In a similar way to Theorem ., we also obtain the existence of solutions of (.) in the case where f is a demicontinuous bounded mapping from [,T ] × V into H. Moreover, assume that f (t, · ) for ... See full document
17
Implicit and explicit iterative algorithms for hierarchical variational inequality in uniformly smooth Banach spaces
... hierarchical variational inequality with the constraint of a general system of variational inequalities in a uniformly convex and 2-uniformly smooth Banach ...converge strongly to a unique ... See full document
25
On the weak convergence for solving semistrictly quasi monotone variational inequality problems
... of solutions for the semistrictly quasi-monotone variational inequalities in infinite-dimensional Hilbert ...quasi-monotone variational inequalities converges weakly to a solu- ... See full document
11
Weak convergence theorems for common solutions of a system of equilibrium problems and operator equations involving nonexpansive mappings
... Corollary . Let C be a nonempty closed convex subset of H , S : C → C be a nonexpansive mapping with a nonempty fixed point set, and A : C → H be a L-Lipschitz continuous and monotone mapping. Let F be a ... See full document
13
Iterative methods for solving a class of monotone variational inequality problems with applications
... same solutions to the MVIPs. Finally, we applied our main results to the constrained minimization problems and the minimum-norm fixed point problems for generalized Lipschitz continuous, ... See full document
17
Existence theorems of generalized quasi variational like inequalities for η h pseudo monotone type I operators on non compact sets
... I operators defined on non-compact sets in locally convex Hausdorff topological vector ...our results on GQVLI for h - h -pseudo-monotone type I operators, we use Chowdhury and Tan ’ s ... See full document
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