Iterative Algorithm of Split Monotone Variational Inclusion Problem for New Mappings
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Authors: M. FARID, S. S. IRFAN AND I. AHMAD
DOI: 10.46793/KgJMat2404.493F
Abstract:
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.
Keywords:
Iterative method, strong convergence, fixed point problem, split monotone variational inclusion problem, nonexpansive mapping, variational inequality problem.
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