Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

Abstract

Abstract In this paper, we compute a common solution of the fixed point problem (FPP) and the generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking approximants in Hilbert spaces. We show that the approximants can be easily adapted to various extensively analyzed theoretical problems in this framework. Finally, we furnish a numerical experiment to analyze the viability of the approximants in comparison with the results presented in (Reich and Tuyen in Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 114:180, 2020).

Keywords

• Shrinking approximants
• Strong convergence
• Fixed point problem
• Demimetric operator
• Generalized null point problem