[PDF] Top 20 Weak convergence theorems of a hybrid algorithm in Hilbert spaces

... Corollary . Let C be a nonempty closed convex subset of a real Hilbert space H. Let F be a bifunction from C × C to R which satisfies (A)-(A). Let A : C → H be an α -inverse- strongly monotone mapping, and let ... See full document

... converges weakly to an element in A+B L,T . We would like to point out that, in fact, the prob- lem (.) can be written in the form of the problem (.). Moreover, as in our considera- tion, B is a maximal monotone ... See full document

... b)-generalized hybrid mappings, and stu- died fixed point theorems and weak convergence theorems for such nonlinear map- pings in Hilbert ...b)-generalized hybrid [6] ... See full document

... in Hilbert spaces more general than the class of nonspreading ...some weak convergence theorems of the se- quences generated by our iterative ... See full document

... in Hilbert spaces in 2010 to this much wider class of nonlinear mappings in Banach ...a weak convergence theorem for this new class of nonlinear ...a Hilbert space showing that our ... See full document

... strong convergence to be ...in Hilbert spaces; that is, they established strong and weak convergence theorems for modified approximate proximal point algorithms for finding zeros ... See full document

... generalized hybrid mapping. The authors also proved the weak convergence theorems of Mann type for normally gen- eralized hybrid mappings in Hilbert spaces without ... See full document

... Recently, fixed point and zero point problems have been studied by many authors based on iterative methods; see, for example, [–] and the references therein. In this paper, motivated by the above results, we consider ... See full document

... modified algorithm to obtain strong and weak convergence theorems for split equality generalized mixed equilibrium problem for nonexpansive mappings in Hilbert ... See full document

... strong convergence has not been achieved without compact- ness assumption on T or K ; or other requirements on the set of fixed point F(T ); or complete modification of the scheme to a hybrid ... See full document

... in Hilbert space. The strong and weak convergence theorems to a fixed point of T are ...strong convergence of this iteration scheme are obtained, ... See full document

... in Hilbert spaces,” Nonlinear Analysis: Theory, Methods & Applications, ...“Convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense,” Fixed Point Theory ... See full document

... In this paper, motivated by the iterative sequences 1.6 given by Saejung in 8 and Ishikawa 10, we introduce the modified Ishikawa iterative scheme for two nonexpansive semigroups in Hilbert spaces. Further, ... See full document

... iterative algorithm. Under suitable conditions, some strong convergence theorems of the sequence generated by the algorithm to a common solution of the problem are ...constructed ... See full document

... the weak- and strong-convergence theorems of solutions to split a feasibility problem for a family of nonspreading-type mapping in Hilbert ... See full document

... strong convergence theorems in Hilbert spaces, like the Halpern-Mann type iteration method, the regularized iteration ...strong convergence theorems for these problems in ... See full document

... Using the notion of asymptotically invariant sequences of means on l ∞ , we obtain a mean convergence theorem for pointwise convergent sequences of hybrid mappings in Hilbert spaces. By ... See full document

... strong convergence theorems are proved in Hilbert spaces for new classes of multivalued demicontractive-type and hemicontractive-type mappings which are related to the class of multivalued ... See full document

... In , Osilike [] introduced a class of nonspreading type mappings, which is more general than the mappings studied in [] in Hilbert spaces, and proved some weak and strong convergence ... See full document

... The paper is organized as follows: In Section 2, we collect some related definitions and known fact, which are referred in this paper. The main results are presented in Section 3. We start with some common tools in ... See full document