[PDF] Top 20 Strong convergence of an new iterative method for a zero of accretive operator and nonexpansive mapping

... Let D be a subset of C. Then Q : C ® D is called a retraction from C onto D if Q(x) = x for all x Î D. A retraction Q : C ® D is said to be sunny if Q(x + t(x - Q(x))) = Q(x) for all x Î C and t ≥ 0 whenever x + t(x - ... See full document

... prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive ... See full document

... δ-strongly accretive and λ-strictly pseudocontractive mapping, we introduce a general iterative method for finding a common fixed point of a semigroup of non-expansive mappings in a Hilbert ... See full document

... a new composite iterative scheme with certain control con- ditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space ... See full document

... sunny nonexpansive retraction from X onto C, and let f : C → C be a contraction with coefficient ρ ∈ (, ...of nonexpansive mappings and zeros of an accretive operator A ⊂ X × X such that D(A) ⊂ ... See full document

... hybrid iterative method is proposed and analyzed. Strong convergence theorems for common elements in the zero point set of the sums of a maximal monotone operator and an ... See full document

... and strong convergence theorems for a double Krasnoselskij- type iterative method to approximate coupled solutions of a bivariate nonexpansive operator T : K × K → K, where K is ... See full document

... A mapping Q of C into itself is called a retraction if Q 2 Q. If a mapping Q of C into itself is a retraction, then Qz z for all z ∈ RQ, where RQ is the range of ...sunny nonexpansive retract of C if ... See full document

... a nonexpansive mapping, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for monotone, Lipschitz-continuous mappings and proved its strong ... See full document

... Picard iterative algorithm is an efficient algorithm to study ...Picard iterative algorithm fails to converge to fixed points of nonexpansive mappings even that their fixed point sets are not ...study ... See full document

... a new iterative scheme for finding a common ele- ment of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone operators, and we prove ... See full document

... weak convergence of three- step Noor iterative scheme for an I-nonexpansive mapping in a Banach space has been ...and strong convergence of implicit iteration process to a common ... See full document

... a new iterative scheme and to get a strong convergence theorem for a countable family of relatively quasi-nonexpansive mappings and a system of equilibrium problems in a uniformly ... See full document

... We prove strong convergence of the viscosity approximation method for multivalued nonexpansive mappings in CAT(0) spaces. Our results generalize the results of Dhompongsa et al. (2012), ... See full document

... above iterative processes defined by ()-() and ()-(), we know that the it- erative process () improves and extends some iterative process introduced by the recent ...the iterative process, ... See full document

... a strong convergence theo- rem for fixed points of sequence for multivalued nonexpansive mappings and a zero of maximal monotone operator in Banach spaces by using the hybrid projection ... See full document

... contractive mapping with coefficient k ∈ (, ), T : E → E be a strongly positive linear bounded operator with coeffi- cient γ and U : C → C be a non-expansive ...duality mapping J : E → E ∗ is weakly ... See full document

... show that this class of mappings are not necessary to be quasi-nonexpansive mappings. We establish an existence theorem of fixed points and the demiclosed principle for the class of (a, b)-monotone mappings. As a ... See full document

... Corollary . Let E be an arbitrary real Banach space and let K be a nonempty closed convex subset of E. Let S : K → K be nonexpansive and T : K → K be Lipschitz (with con- stant L > ) and strongly ... See full document

... whose solutions correspond to the equilibrium of the system (.). Consequently, within the past  years or so, considerable research efforts have been devoted to methods for finding approximate solutions of (.). An ... See full document