[PDF] Top 20 A general iterative algorithm for monotone operators with λ hybrid mappings in Hilbert spaces

... maximal monotone if its graph { (x, u) : x ∈ H, u ∈ B(x) } is not properly contained in the graph of any other monotone ...a monotone operator B for r is a single-valued mapping J ... See full document

... real Hilbert space, let V : H → H be an L-Lipschitzian oper- ator with L > , and let F : H → H be a k-Lipschitzian continuous operator and η-strongly monotone operator with k > , η > ...strongly ... See full document

... new general hybrid iterative algorithm for finding a common element of the set of common zeros of two families of finite maximal monotone mappings, the set of fixed points of a ... See full document

... self- mappings on H such that T has property ( A ) with respect to the family S and F( T ) ⊆ F( S ) , g >0 is a constant, f : H ® H is an a-contraction, A is a bounded linear strongly positive self-adjoint ... See full document

... Although the above results have better theoretical properties, such as, but not only, weak and strong convergence to a solution of the equation 0 ∈ Au, there are still some difficulties to overcome. For instance, the ... See full document

... with general errors in Banach spaces which converges strongly to a zero of monotone operators? Let C be a nonempty, closed, and convex subset of a uniformly smooth strictly convex real Banach ... See full document

... nonexpansive mappings, in the solution set of a variational inequality involving an inverse-strongly monotone mapping and in the solution set of an equilibrium problem is investigated based on a ... See full document

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

... On the other hand, iterative methods for nonexpansive mappings have recently been ap- plied to solve convex minimization problems; see, e.g., [–] and the references therein. Convex minimization problems ... See full document

... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and ... See full document

... The paper is organized as follows. Section  recalls some concepts in equilibrium prob- lems and fixed point problems that are used in the sequel and an iterative algorithm for solving problem (.). In ... See full document

... real Hilbert space ...strongly monotone and γ -inverse strongly monotone, ...maximal monotone operators on H such that the do- mains of B and D are contained in K and that T : K → K is ... See full document

... generalized hybrid mappings, (ii) to introduce the concept of common attractive points (CAP), and (iii) to write and use Picard-Mann iterative process for two ...generalized hybrid ... See full document

... a monotone nonexpansive mapping T in a Banach space E with the partial order ‘≤’, where a such mapping may be ...dimensional spaces, such a mapping T has a fixed point in E if and only if the sequence {T n ... See full document

... real Hilbert space, let F be a -Lipschitzian and h-strongly monotone operator on H with k > 0, h > 0, and let T be a quasi-nonexpansive mapping on H, and f is a L-Lipschitzian mapping with coefficient ... See full document

... from Hilbert spaces to arbitrary Banach ...more general and applicable than the results of Wang [1] because the strong monotonicity condition imposed on F by Wang is not required in our ... See full document

... “The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and ... See full document

... We state some examples for inverse-strongly monotone mappings. If A I − T , where T is a nonexpansive mapping of C into itself and I is the identity mapping of H, then A is 1/2- inverse-strongly ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... Let H be a real Hilbert space, and let C be a nonempty closed convex subset of H. A mapping T of C into itself is called nonexpansive if Tx − Ty ≤ x − y for all x, y ∈ C. A point x ∈ C is called a fixed point of T ... See full document