Geodesic
Iterative Algorithm of Split Monotone Variational Inclusion Problem for New Mappings
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 493 .

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In this paper, we developed a new type iterative scheme to approximate a common solution of split monotone variational inclusion, variational inequality and fixed point problems for an infinite family of nonexpansive mappings in the framework of Hilbert spaces. Further, we proved that the sequence generated by the proposed iterative method converges strongly to a common solution of split monotone variational inclusion, variational inequality and fixed point problems. Furthermore, we give some consequences of the main result. Finally, we discuss a numerical example to demonstrate the applicability of the iterative algorithm. The result presented in this paper unifies and extends some known results in this area.
DOI : 10.46793/KgJMat2404.493F
Classification : 47J25, 49J40, 47H09, 90C99
Keywords: Iterative method, strong convergence, fixed point problem, split monotone variational inclusion problem, nonexpansive mapping, variational inequality problem 
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Mohammad Farid; Syed Shakaib Irfan; Iqbal Ahmad. Iterative Algorithm of Split Monotone Variational Inclusion Problem for New Mappings. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 4, p. 493 . doi : 10.46793/KgJMat2404.493F. http://geodesic.mathdoc.fr/articles/10.46793/KgJMat2404.493F/

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