Strong Convergence Theorem for Equilibrium Problems and Fixed Points of a Nonspreading Mapping in Hilbert Spaces

Abstract

We introduce an iterative method for finding a common element of the set of solutions of equilibrium problems and the set of fixed points of a nonspreading mapping in a Hilbert space. Then, we prove a strong convergence theorem which is connected with the work of S. Takahashi andW. Takahashi 2007 andIemoto andTakahashi 2009 .

The Split Common Fixed Point Problem for -Strictly Pseudononspreading Mappings

“…Iterative methods for nonspreading mapping have been extensively investigated; see [30][31][32][33][34]. (i) Observe that every nonspreading mapping is 0strictly pseudononspreading.…”