Solving the Split Common Null Point Problem via Graph Convergence of Monotone Mappings
Applicable Nonlinear Analysis, Volume 4, Issue 1, April 2027, Pages: 132–144
Mohammad Dilshad
Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Abstract
This paper aims to approximate the solution of the split common null point problem ( \(\rm {S_pCNPP}\)) using the graph convergence of monotone mappings. We apply the equivalence between graph convergence of monotone mappings and convergence of the associated resolvent operators to prove that the sequence generated by the proposed algorithm converges to the solution of \(\rm {S_pCNPP}\). Both weak and strong convergence of the sequence produced by the proposed method are discussed. We validate the main result with the help of numerical examples in finite and infinite dimensional Hilbert spaces.
Cite this Article as
Mohammad Dilshad, Solving the Split Common Null Point Problem via Graph Convergence of Monotone Mappings, Applicable Nonlinear Analysis, 4(1), 132–144, 2027