Some new fixed point results for monotone partially nonexpansive mappings

Abstract

In this paper, we study monotone partially nonexpansive mappings and present some new existence and convergence theorems for these mappings in the setting of ordered Banach spaces. Furthermore, we extend the results reported by M. R. Alfuraidan and M. A. Khamsi (Carpathian J. Math., 36(2): 199–204, 2020) and E. Llorens-Fuster (Adv. Theory Nonlinear Anal. Appl., 6(4): 565–573, 2022).