[PDF] Top 20 Strong and Convergence Theorems for Multivalued Mappings in Spaces

... and multivalued mappings in CAT0 spaces has been rapidly developed and many of papers have appeared see, ...CAT0 spaces can be applied to any CATκ space with κ ≤ 0 since any CATκ space is a ... See full document

... nonexpansive mappings in Banach spaces, and then prove weak and strong convergence theorems by using the notion of generalized ... See full document

... The theory of fixed points with respect to Bregman distances has been studied in the last ten years and much intensively in the last four years. For some recent articles on the existence of fixed points for Bregman ... See full document

... From the proof of Theorem 2.1, we give the following strong convergence theorem. Theorem 2.2. Let E be a real uniformly convex Banach space, let K be a nonempty closed convex subset of E, let T : K → K be a ... See full document

... two strong convergence results of the Ishikawa iteration for a multivalued quasi-nonexpansive mapping in a complete geodesic space with curvature bounded ...the convergence result of the Mann ... See full document

... for all x, y ∈ C. We denote by F(T) the set of fixed points of T . We know F(T) = ∅ in the case that E is uniformly convex and C is bounded; see Browder [2], G¨ohde [9], and Kirk [13]. Common fixed point theorems ... See full document

... prove strong convergence theorems for fixed points of sequence for multicalued nonexpansive mapping and a zero of maximal monotone operator in Banach space by using the hybrid projection ... See full document

... introduce multivalued α -demicontractive and α -hemicontractive mappings and prove strong convergence theorems using Mann and Ishikawa iteration process in Hilbert ... See full document

... Inspired and motivated by the studies mentioned above, in this paper, we use an up-to- date method for the approximation of common fixed points of countable families of non- linear operators. We introduce a modified ... See full document

... for multivalued mean nonexpansive mappings in uniformly convex hyperbolic ...of multivalued mean nonexpansive mappings and establish some strong and 4-convergence theorems ... See full document

... of multivalued nonself mappings in Banach spaces and constructed an appropriate net which converges strongly to a fixed point of the classes of the ...of multivalued mappings as ... 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, we ... See full document

... nonexpansive mappings in Banach ...and strong convergence theorems to approximate a fixed point of a single relatively nonexpansive ...the strong convergence of the sequence {x n ... See full document

... Motivated by Suzuki’s result 1 and Nakajo-Takahashi’s results 2, He and Chen 3 recently proved a strong convergence theorem for nonexpansive semigroups in Hilbert spaces by hy- brid method in the ... See full document

... and strong conver- gence for the new class of pseudocontractive-type mappings with the following two con- ditions: (i) given any pair x, y ∈ D(T ) and u ∈ Tx with x – u = d(x, Tx), there exists v ∈ Ty with ... See full document

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

... 26 Y. I. Alber, “Metric and generalized projection operators in Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, A. G. Kartsatos, Ed., ... See full document

... CAT0 spaces was first studied by Kirk see 18, ...and multivalued mappings in CAT0 spaces has been rapidly developed, and many papers have appeared see, ...point theorems in CAT0 ... See full document

... As we all know that if C is a nonempty closed convex subset of a Hilbert space H and P C : H → C is the metric projection of H onto C, then P C is nonexpansive. This fact actually characterizes Hilbert spaces and ... See full document

... and strong convergence theorems of the iterative scheme () in CAT() spaces for generalized nonexpansive mappings enabling us to enlarge the class of underlying mappings as well ... See full document