Geodesic
An iterative method for solution of finite families of split minimization problems and fixed point problems
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1.

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The purpose of this paper is to introduce a proximal iterative algorithm for the approximation of a common solution of finite families of split minimization problem and a fixed point problem in the framework of Hilbert space. Using our iterative algorithm, we prove a strong convergence theorem for approximating a common solution of finite families of split minimization problem and a fixed point problem of nonexpansive mapping. Moreover, our result complements and extends some related results in literature.
Publié le :
DOI : 10.30755/NSJOM.07925
Classification : 47H09, 47H10
Keywords: Split minimization problem, nonexpansive mapping, Proximal iterative algorithm, Hilbert spaces 
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     author = {Hammed Anuoluwapo Abass and Chinedu Izuchukwu and Oluwatosin Temitope Mewomo and Ferdinard Udochukwu Ogbuisi},
     title = {An iterative method for solution of finite families of split  minimization problems and fixed point problems},
     journal = {Novi Sad Journal of Mathematics},
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Hammed Anuoluwapo Abass; Chinedu Izuchukwu; Oluwatosin Temitope Mewomo; Ferdinard Udochukwu Ogbuisi. An iterative method for solution of finite families of split  minimization problems and fixed point problems. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1. doi : 10.30755/NSJOM.07925. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.07925/

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