Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space
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Abstract:
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 obtained by Osilike and Isiogugu (Nonlinear Analysis 74(2011) 1814-1822) and Kurokawa and Takahashi (Nonlinear Analysis 73(2010) 1562-1568). We also give an example and numerical results arealso given.
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Journal title
volume 2 issue 2
pages 51- 61
publication date 2011-06-01
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