On the split common fixed point problem for strict quasi-ϕ-pseudocontractive mappings in Banach spaces

Strong convergence theorems for a solution of split common fixed point problem involving λ -strict quasi- G f -pseudocontractive mappings in Banach spaces

“…For instance, the results in this paper enhances and generalizes the work of Takahashi and Yao [36] to Banach spaces more general than Hilbert spaces. In addition, the results in this paper improve and generalize the work of Liu et al [19] in the sense that the results in this paper are valid for the class of λ-strict quasi-G f -pseudocontractive mappings which properly includes the class of λ-strict quasi-φ-pseudocontractive mappings.…”

“…Recently, Liu et al [19] constructed an iterative method for solving the SCFPP for λ-strict quasi-φpseudocontractive mappings in the setting of two Banach spaces. They proved that the sequence generated by the proposed iterative algorithm converges strongly to a solution of the SCFPP.…”

“…Motivated and inspired by the work of Liu et al [19], we propose an algorithm for approximating solutions of SCFPP involving λ-strict quasi-G f -pseudocontractive mappings in the setting of two Banach spaces using functional G(., .). In addition, we prove that the sequence generated by the proposed algorithm converges strongly to a solution of the SCFPP.…”