Geodesic
On split equality for finite family of generalized mixed equilibrum problem and fixed point problem in real Banach spaces
Novi Sad Journal of Mathematics, Tome 50 (2020) no. 2.

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The purpose of this paper is to introduce a simultaneous iterative algorithm for solving split equality for systems of generalized mixed equilibrium problem and split equality fixed point problem in $p$-uniformly convex and uniformly smooth Banach spaces using the Bregmann distance technique. Furthermore, we state and prove a strong convergence theorem for the approximation of a solution of split equality for systems of generalized mixed equilibrium problem and split equality fixed point problem in the frame work of $p$-uniformly convex and uniformly smooth Banach spaces. Our result extends results on split equality generalized mixed equilibrium problems from Hilbert spaces to $p$-uniformly convex Banach spaces which are also uniformly smooth.
Publié le :
DOI : 10.30755/NSJOM.09920
Classification : 49J53, 65K10, 49M37, 90C25
Keywords: strong convergence, split variational inclusion problem, $p-$uniformly convex, uniformly smooth, maximal monotone operators, resolvent maximal monotone operators 
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     author = {Oluwatosin Temitope Mewomo and Ferdinand Udochukwu Ogbuisi},
     title = {On split equality for finite family of generalized mixed equilibrum problem and fixed point problem in real {Banach} spaces},
     journal = {Novi Sad Journal of Mathematics},
     pages = {73 - 106},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2020},
     doi = {10.30755/NSJOM.09920},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09920/}
}
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Oluwatosin Temitope Mewomo; Ferdinand Udochukwu Ogbuisi. On split equality for finite family of generalized mixed equilibrum problem and fixed point problem in real Banach spaces. Novi Sad Journal of Mathematics, Tome 50 (2020) no. 2. doi : 10.30755/NSJOM.09920. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09920/

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