[PDF] Top 20 Strong convergence theorem for monotone operators and strict pseudo-nonspreading mapping

... k−strictly pseudo nonspreading map- ping and proved a weak mean convergence theorem of Baillon’s type similar to the ones ob- tained in ...mean convergence,a ... See full document

... a strong convergence theorem for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a hemirelatively nonexpansive mapping and for finding ... See full document

... two operators which are inverse-strongly monotone and a maxi- mal monotone and in the fixed point set of a mapping which is strictly ...pseudocontractive. Strong convergence ... See full document

... the strong convergence theorem for fixed points of sequence for multivalued nonexpansive mappings and a zero of maximal monotone operator in Banach ... See full document

... for strict pseudo-contractions are still less devel- oped than those for nonexpansive mappings, despite the pioneering work of Browder and Petryshyn [] dating from ...However, strict ... See full document

... k-strictly pseudo- nonspreading mappings and proved a weak mean convergence theorem of Baillon’s type similar to the ones obtained in ...mean convergence, a ... See full document

... continuous pseudo-contractive mapping, let A : C → H be a continuous monotone mapping such that F = F(T) ∩ VI(C, A) = ∅, let f : C → C be a contraction with a con- traction coefficient ρ ∈ (, ... See full document

... new mapping in a real Hilbert space to prove a strong convergence theorem for finding a common fixed point of a finite family of strictly pseudo-contractive mappings and a strictly ... See full document

... The set of solutions of (1.1) is denoted by EP(G). Given a mapping T : C ® H, let G (x, y) = 〈 Tx, y - x 〉 for all x, y Î . Then, z Î EP(G) if and only if 〈 Tz, y - z 〉 ≥ 0 for all y Î C, i.e., z is a solution of ... See full document

... of strict pseudo-contractions, the set of common solutions of the system of a mixed equilibrium problem, and the set of common solutions of the variational inequalities with inverse strongly monotone ... See full document

... nonlinear operators by utilizing the Bregman distance and the Bregman projection, see [–] and the references ...quasi-strict pseudo-contraction and proved the strong convergence by ... See full document

... strongly pseudo-contractive map, then the Mann iteration process converges strongly to u ∗ ∈ F(T ), where K is a nonempty closed convex and bounded subset of X and F(T ) := {x ∈ K : Tx = ...This theorem of ... See full document

... the strong convergence theorem for three-step Noor iterative scheme for more general operators Zamfirescu operators in arbitrary Banach ... See full document

... mapping A is defined by the set { x ∈ E : Ax =  } . Many important problems have reformu- lations which require finding zero points, for instance, evolution equations, complemen- tarity problems, mini-max problems, ... See full document

... a mapping T : C → C is said to be nonexpansive if Tx – Ty ≤ x – y for all x, y ∈ ...the mapping T : C → C is said to be quasi-nonexpansive if Tx –p ≤ x– p, ∀x ∈ C and ∀p ∈ F(T ), where F(T ) denotes the set ... See full document

... gorithm converges weakly but not strongly (see also Bauschke et al. []). Several authors modified the proximal point algorithm to obtain strong convergence (see, e.g., Bruck []; Kamimura and Takahashi ... See full document

... A mapping T : X → X is said to be contraction if there is  < k <  such that d(Tx, Ty) ≤ kd(x, y) for all x, y ∈ ...A mapping T is said to be nonexpansive if d(Tx, Ty) ≤ d(x, y) for all x, y ∈ ... See full document

... A nonlinear operator V : H → H is called Lipschitzian continuous if there exists L >  such that Vx – Vy ≤ L x – y for all x, y ∈ H. Such V is also called L-Lipschitzian continuous. We know the following three lemmas ... See full document

... inverse-strongly monotone mapping has been ...inverse-strongly monotone is changed to monotone in the ...a monotone and Lipschitz continuous mapping in Hilbert ...weak ... See full document

... a strong convergence theorem for finding a common element of the set of fixed points of a relatively nonexpansive map and the set of solutions of a variational inequality problem for an ... See full document