Geodesic
On split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1.

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In this article, we introduce a split equality monotone yosida variational inclusion problem which is more general than the split equality monotone variational inclusion problem, split equality variational inclusion problem and yosida inclusion problem. We develop an iterative algorithm for approximating a common solution of split equality monotone yosida variational inclusion problem and split equality fixed point problems for infinite family of generalized $k$-strictly pseudocontractive multivalued mappings and infinite family of L-Lipschitzian and quasi-pseudocontractive mappings in the settings of infinite-dimensional Hilbert spaces. Using our iterative algorithm, we state and prove a strong convergence theorem for approximating an element in the intersection of the solution set of the aforementioned problems. Our iterative algorithm is design in such a way that it does not require the prior knowledge of the operator norm. We apply our result to solve a variational inequality problem. Our result extends and complements some related results in literature.
Publié le :
DOI : 10.30755/NSJOM.10119
Classification : 47H06, 47H09, 47J05, 47J25
Keywords: split equality monotone yosida variational inclusion, quasi-pseudocontractive, split equality monotone inclusion problem, generalized pseudocontractive mappings, iterative scheme, fixed point problem 
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     author = {Hammed Anuoluwapo Abass and Chinedu Izuchukwu and Oluwatosin Temitope Mewomo and Olawale Kazeem Oyewole},
     title = {On split equality monotone {Yosida} variational 
	inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in {Hilbert} spaces},
     journal = {Novi Sad Journal of Mathematics},
     pages = {91 - 121},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2021},
     doi = {10.30755/NSJOM.10119},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10119/}
}
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%A Oluwatosin Temitope Mewomo
%A Olawale Kazeem Oyewole
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	inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces
%J Novi Sad Journal of Mathematics
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Hammed Anuoluwapo Abass; Chinedu Izuchukwu; Oluwatosin Temitope Mewomo; Olawale Kazeem Oyewole. On split equality monotone Yosida variational 
	inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1. doi : 10.30755/NSJOM.10119. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.10119/

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