Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems. (English) Zbl 1287.90076

Summary: We introduce some new iterative sequences for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a finite family of nonspreading mappings and a finite family of nonexpansive multivalued mappings in Hilbert spaces. We establish some weak and strong convergence theorems of the sequences generated by our iterative process. The results obtained extend and improve some recent known results.


90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
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