Title of article :
EQUILIBRIUM PROBLEMS and FIXED POINT PROBLEMS FOR NONSPREADING-TYPE MAPPINGS IN HILBERT SPACE
Author/Authors :
SINGTHONG, URAILUK Department of Mathematics - Faculty of Science - Chiang Mai University - Chiang Mai, Thailand , SUANTAI, SUTHEP Department of Mathematics - Faculty of Science - Chiang Mai University - Chiang Mai, Thailand
Abstract :
In this paper by using the idea of mean convergence, we introduce
an iterative scheme for nding a common element of the set of solutions of an
equilibrium problem and the xed points set of a nonspreading-type mappings in
Hilbert space. A strong convergence theorem of the proposed iterative scheme is
established under some control conditions. The main result of this paper extend
the 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 are also given.
Keywords :
k-strictly pseudononspreading mappings , nonspreading mappings , strong convergence , equilibrium problem , Hilbert spaces
Journal title :
Astroparticle Physics
