In this paper, we investigate the split common null point problem involving a finite family of maximally comonotone operators in Hilbert spaces. We propose a novel algorithm that integrates a double-inertial method to accelerate convergence and employs a self-adaptive step-size strategy, allowing the algorithm to proceed without prior knowledge of the operator norms. Under appropriate control conditions on the parameters, we establish the strong convergence of the iterative sequence to the unique solution of a corresponding variational inequality problem. Additionally, we illustrate the applicability of our results to several important problems, including the general split feasibility problem and the split common fixed point problem for conically nonexpansive mappings.
Eslamian,M . (2025). Double-Inertial Method for Solving Split Common Null Point Problems with Maximally Comonotone Operators. Journal of Applied Mathematics & Data Analytics, 1(3), 35-54. doi: 10.311581/JAMDA.2510.1017.1.3.3
MLA
Eslamian,M . "Double-Inertial Method for Solving Split Common Null Point Problems with Maximally Comonotone Operators", Journal of Applied Mathematics & Data Analytics, 1, 3, 2025, 35-54. doi: 10.311581/JAMDA.2510.1017.1.3.3
HARVARD
Eslamian M. (2025). 'Double-Inertial Method for Solving Split Common Null Point Problems with Maximally Comonotone Operators', Journal of Applied Mathematics & Data Analytics, 1(3), pp. 35-54. doi: 10.311581/JAMDA.2510.1017.1.3.3
CHICAGO
M Eslamian, "Double-Inertial Method for Solving Split Common Null Point Problems with Maximally Comonotone Operators," Journal of Applied Mathematics & Data Analytics, 1 3 (2025): 35-54, doi: 10.311581/JAMDA.2510.1017.1.3.3
VANCOUVER
Eslamian M. Double-Inertial Method for Solving Split Common Null Point Problems with Maximally Comonotone Operators. JAMDA. 2025;1(3):35-54. doi: 10.311581/JAMDA.2510.1017.1.3.3
