An iterative scheme for split monotone variational inclusion, variational inequality and fixed point problems
Keyword(s):
Abstract We propose and analyze a new type iterative algorithm to find 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 show that a sequence generated by the algorithm converges strongly to common solution. Furthermore, we list some consequences of our established theorem. Finally, we provide a numerical example to demonstrate the applicability of the algorithm. We emphasize that the result accounted in manuscript unifies and extends various results in this field of study.
2009 ◽
Vol 3
(4)
◽
pp. 719-733
◽
2009 ◽
Vol 2009
(1)
◽
pp. 369215
◽
2012 ◽
Vol 55
(2)
◽
pp. 437-457
◽
2019 ◽
Vol 113
(4)
◽
pp. 3545-3562
◽
2012 ◽
Vol 56
(4)
◽
pp. 1543-1562
◽