Convergence Theorems for Nonspreading Type Mappings in Hilbert Spaces

The Equilibrium Problem for Nonspreading-type Mappings in Hilbert Spaces

In this paper, an iterative algorithm for equilibrium problems and a class of strictly pseudononspreading mappings which is more general than the class of nonspreading mappings studied recently in Kurokawa and Takahashi [23] is proposed. Some weak convergence theorems are proved under suitable conditions in Hilbert space.

Uniformmean convergence theorems for hybrid mappings in Hilbert spaces

Convergence Theorems for -Nonexpansive Mappings in CAT(0) Spaces

In this paper we derive convergence theorems for an -nonexpansive mappingof a nonempty closed and convex subset of a complete CAT(0) space for SP-iterative process and Thianwan's iterative process.

Weak Convergence Theorems for Maximal Monotone Operators with Nonspreading mappings in a Hilbert space

Let C be a closed convex subset of a real Hilbert space H. Let T be a nonspreading mapping of C into itself, let A be an α-inverse strongly monotone mapping of C into H and let B be a maximal monotone operator on H such that the domain of B is included in C. We introduce an iterative sequence of finding a point of F (T )∩(A+B)0, where F (T ) is the set of fixed points of T and (A + B)0 is the s...

Attractive Point and Mean Convergence Theorems for New Generalized Nonspreading Mappings in Banach Spaces

In this paper, we first introduce a class of nonlinear mappings called generic generalized nonspreading which contains the class of generalized nonspreading mappings in a Banach space and then prove an attractive point theorem for such mappings in a Banach space. Furthermore, we prove a mean convergence theorem of Baillon’s type and a weak convergence theorem of Mann’s type for such nonlinear m...