The Multiple-sets Split Equality Fixed Point Problem for Countable Families of Multi-valued Demi-contractive Mappings
نویسنده
چکیده
Motivated by the recent work of Moudafi (Inverse Problem, 26 (2010), 587-600 ), Chang et al. (Appl. Math. Comput. 219, (2013), 1041610424 ), Tang Jinfang (Acta Mathematicae Applicatae Sinica, Vol. 37, (2014), 119-126 ), Wu et al. (Journal of Inequalities and Applications 2014, 2014:428 ) and Chidume et al. (J. Nonlinear Analysis and Optimization (to appear)), we investigate a Krasnoselskii-type iterative 454 C. E. Chidume, P. Ndambomve, A. U. Bello and M. E. Okpala algorithm for solving the multiple-sets split equality fixed point problem. Weak and strong convergence theorems are proved for two countable families of multi-valued demi-contractive mappings in real Hilbert spaces. Our theorems extend and complement some recent results of Chang et al., Chidume et al., Wu et al. and a host of other recent important results. Mathematics Subject Classification: 47J25, 47H06, 49J53, 90C25
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