Parallel iterative methods for solving the generalized split common null point problem in Hilbert spaces

Authors: Simeon Reich, Trương Minh Tuyên,

https://doi.org/10.1007/s13398-020-00901-8

Publisher, magazine: ,

Publication year: 2020

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Abstract

We study the recently introduced generalized split common null point problem in Hilbert spaces. In order to solve this problem, we propose two new parallel algorithms and establish strong convergence theorems for both of them. Our schemes combine the hybrid and shrinking projection methods with the proximal point algorithm.

Tags: Hilbert space, Metric projection, Monotone operator, Nonexpansive mapping, Split common null point problem