TY  - JOUR
AU  - Filali, Doaa
AU  - Dilshad, Mohammad
AU  - Akram, Mohammad
AU  - Nasiruzzaman, Md.
AU  - Alshaban, Esmail
PY  - 2026
TI  - Convergence analysis of Mann-type hybrid inertial Yosida approximation iterative schemes for split variational inclusions
JO  - AIMS Mathematics
SP  - 9633
EP  - 9654
VL  - 11
IS  - 4
AB  - This manuscript introduces two Mann-type hybrid inertial Yosida approximation iterative schemes for exploring a split variational inclusion problem and a fixed point of a nonexpansive mapping. Unlike existing methods, our schemes initiate the process by computing a Mann-type iteration that incorporates both an inertial extrapolation and a fixed-point iteration. The Yosida approximation operators associated with the corresponding monotone mappings are employed. We establish strong convergence theorems for the proposed schemes under suitable assumptions without estimating the norm of a bounded linear operator. Numerical examples are presented to validate the theoretical results, and a comparison of the proposed iterative schemes with existing methods is provided. Finally, an application of our schemes for solving the split common fixed point problem (SCFPP) is also discussed.
UR  - https://doi.org/10.3934/math.2026399
DO  - 10.3934/math.2026399