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:
international journal of nonlinear analysis and applicationsPublisher: semnan university
ISSN
volume 2
issue 2 2011
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