Approximating fixed points of amenable semigroup and infinite family of nonexpansive mappings and solving systems of variational inequalities and systems of equilibrium problems
Department of Mathematics, University of Bonab 55517-61167 Bonab, Iran
Fixed Point Theory and Applications 2012, 2012:99 doi:10.1186/1687-1812-2012-99Published: 16 June 2012
We introduce an iterative scheme for finding a common element of the set of solutions for systems of equilibrium problems and systems of variational inequalities and the set of common fixed points for an infinite family and left amenable semigroup of nonexpansive mappings in Hilbert spaces. The results presented in this paper mainly extend and improved some well-known results in the literature.
Mathematics Subject Classification (2000): 47H09; 47H10; 47H20; 43A07; 47J25.