Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems

Convergence theorems for nonspreading mappings and nonexpansive multivalued mappings and equilibrium problems

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Article ID: iaor20132058
Volume: 7
Issue: 3
Start Page Number: 547
End Page Number: 557
Publication Date: Mar 2013
Journal: Optimization Letters
Authors:
Keywords: iterative methods, Hilbert space, mapping
Abstract:

In this paper, 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 space. We establish some weak and strong convergence theorems of the sequences generated by our iterative process. The results obtained in this paper extend and improve some recent known results.

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