[PDF] Top 20 Strong convergence of a splitting algorithm for treating monotone operators

... One of the most important techniques for solving zero point problem of monotone op- erators goes back to the work of Browder []. Many important problems have reformula- tions which require finding zero points, ... See full document

... Algorithm 1.10 covers, as special cases, the algorithms introduced by Kohsaka and Takahashi 23 and Kamimura et al. 22 in a smooth and uniformly convex Banach space X. Let X be a uniformly smooth and uniformly ... See full document

... iteration algorithm for total quasi-ϕ-asymptotically nonex- pansive mapping to have the strong convergence under a limit condition in Banach ... See full document

... two monotone operators by using hybrid projection methods and shrinking projection ...prove strong convergence theorems of such sequences to the solution of the sum of an inverse-strongly ... See full document

... of monotone operators is one of the most important classes of ...and convergence of zero points for maximal monotone operators; see [38-45] and the references ...maximal monotone ... See full document

... strongly monotone mapping and B and G are two maximal monotone ...A strong convergence theorem of the sequence generated by our iterative scheme is proved under suitable ...our strong ... See full document

... function. Convergence theorems are established in the framework of real Hilbert spaces; for more details, see ...two monotone map- pings and fixed point problems of a nonexpansive mapping based on the ... See full document

... On the other hand, we know that the quasi-variational inclusion problem in the setting of Hilbert spaces has been extensively studied in the literature; see, for instance, [–]. There is, however, little work in the ... See full document

... Huang, Strong convergence theorems for fixed point problems and generalized equilibrium problems of three relatively quasi-nonexpansive mappings in Banach spaces, J.. Zhou, Approximate p[r] ... See full document

... for treating zero points of the sum of an inverse-strongly monotone and a maximal monotone ...a strong convergence theorem for viscosity zero points under mild re- strictions imposed on ... See full document

... projection operators in Banach spaces: properties and applica- tions,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ... See full document

... point algorithm which was first introduced by Martinet ...weak convergence of the proximal point algorithm for maximal monotone ...point algorithm in order to obtain the strong ... See full document

... two monotone operators based on a viscosity splitting ...method. Strong convergence theorems for the common solutions of the two problems are established in Hilbert ... See full document

... Splitting methods have recently received much attention due to the fact that many non- linear problems arising in applied areas such as image recovery, signal processing, and machine learning are mathematically ... See full document

... iterative algorithm for treating common zeros of a family of m-accretive ...operators. Strong convergence theorems are established in a reflex- ive Banach ... See full document

... iterative algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of ... See full document

... In this paper, we introduce a viscosity iterative process, which converges strongly to a common element of the set of fixed points of a pseudo-contractive mapping and the set of solutions of a monotone mapping. We ... See full document

... resolvent operators associated with (A,η)-accretive mappings due to Lan et ...the convergence of the sequences generated by the algorithms in q-uniformly smooth Banach ... See full document

... Theorem 2.1. Let C be a nonempty closed convex subset of a real Hilbert space H. Let S : C ® C be a -strict pseudocontraction, A : C ® H be an a-inverse strongly mono- tone mapping and B : C ® H be a b-inverse strongly ... See full document

... Within the past  years or so, methods for approximating solutions of equation (.) when A is an accretive-type operator have become a flourishing area of research for nu- merous mathematicians. Numerous ... See full document