Weak Convergence Theorems for a System of Mixed Equilibrium Problems and Nonspreading Mappings in a Hilbert Space

Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space

In this paper by using the idea of mean convergence, weintroduce an iterative scheme for finding a common element of theset of solutions of an equilibrium problem and the fixed points setof a nonspreading-type mappings in Hilbert space. A strongconvergence theorem of the proposed iterative scheme is establishedunder some control conditions. The main result of this paper extendthe results obtain...

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...

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space

in this paper by using the idea of mean convergence, weintroduce an iterative scheme for finding a common element of theset of solutions of an equilibrium problem and the fixed points setof a nonspreading-type mappings in hilbert space. a strongconvergence theorem of the proposed iterative scheme is establishedunder some control conditions. the main result of this paper extendthe results obtain...

Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems

We introduce a new iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping, the set of solutions of a generalized mixed equilibrium problem, and the set of solutions of a variational inequality problem for an inverse-stronglymonotone mapping in Hilbert spaces and then show that the sequence generated by the proposed iterative scheme conve...