In this paper, we introduce a three-step iterative process for G-quasinonexpansive multivalued mappings that satisfy the condition (G-E) in Banach spaces endowed with directed graphs. We establish both the weak and strong convergence results for the proposed iteration scheme. Finally, we present a numerical example to illustrate the theoretical results.
Gholami, A. A. & Nazari, E. (2026). A three-step iterative process for G-quasinonexpansive Multivalued mappings in Banach spaces endowed with graphs. International Journal of Nonlinear Analysis and Applications, (), 1–17. https://doi.org/10.22075/ijnaa.2025.38400.5506
MLA
Gholami, A. A., & Nazari, E. "A three-step iterative process for G-quasinonexpansive Multivalued mappings in Banach spaces endowed with graphs", International Journal of Nonlinear Analysis and Applications, , 2026, 1–17. doi: 10.22075/ijnaa.2025.38400.5506
HARVARD
Gholami, A. A., & Nazari, E. (2026). 'A three-step iterative process for G-quasinonexpansive Multivalued mappings in Banach spaces endowed with graphs', International Journal of Nonlinear Analysis and Applications, (), pp. 1–17. doi: 10.22075/ijnaa.2025.38400.5506
CHICAGO
Gholami, A. A. & Nazari, E., "A three-step iterative process for G-quasinonexpansive Multivalued mappings in Banach spaces endowed with graphs." International Journal of Nonlinear Analysis and Applications, (2026): 1–17, doi: 10.22075/ijnaa.2025.38400.5506
VANCOUVER
Gholami A. A., Nazari E. A three-step iterative process for G-quasinonexpansive Multivalued mappings in Banach spaces endowed with graphs. IJNAA. 2026;():1–17. doi: 10.22075/ijnaa.2025.38400.5506
International Journal of Nonlinear Analysis and Applications