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- Title
A New Explicit Iteration Method for Common Solutions to Fixed Point Problems, Variational Inclusion Problems and Null Point Problems.
- Authors
Yonggang Pei; Shaofang Song; Weiyue Kong
- Abstract
In this paper, we present a new viscosity technique for finding a common element of the set of common solutions of the variational inclusion problems, the set of common fixed points of an infinite family of demimetric mappings, and the set of solutions of the null point problems in Banach spaces. Under suitable assumptions, strong convergence of the sequence generated by the iterative algorithm is proven to the unique solution of the above problems. Furthermore, the main result is extended to the 2-generalized hybrid mappings and strict pseudo-contractions. A numerical example is also given to demonstrate the results.
- Subjects
BANACH spaces; VARIATIONAL inequalities (Mathematics); VISCOSITY
- Publication
IAENG International Journal of Applied Mathematics, 2021, Vol 51, Issue 1, p228
- ISSN
1992-9978
- Publication type
Article