Shufen Chen, Yaqin Wang, A self-adaptive inertial algorithm for solving split null point problems and common fixed point problems
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Volume 5, Issue 1, 1 April 2023, Pages 49-68
Abstract. In this paper, we introduce a new self-adaptive inertial algorithm for finding a common solution of a split null point problem and a common fixed point problem of two infinite families of strict pseudo-contractive mappings and multivalued demicontractive mappings. We demonstrate a strong convergence result without a priori estimate of the norm of the linear operator in Hilbert spaces. As applications, we apply our main result to the split feasibility problem and the split minimization problem. Finally, we present a numerical example to show the efficient of the proposed algorithm.
How to Cite this Article:
S. Chen, Y. Wang, A self-adaptive inertial algorithm for solving split null point problems and common fixed point problems, Appl. Set-Valued Anal. Optim. 5 (2023), 49-68.