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 and 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. doi: 10.22075/ijnaa.2025.38400.5506
MLA
Gholami,A A , and 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
A A Gholami and E Nazari, "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