Approximation of common fixed points of a sequence of commuting generalized nonexpansive mappings
Advances in Fixed Point Theory · 2024
It is the purpose of this paper to discuss the generalizations of nonexpansive mappings. We prove additional properties of these generalizations, particularly focusing on a sequence of commuting mappings satisfying condition B γ,µ . We propose iterative algorithms to approximate a common fixed point of a sequence of commuting mappings satisfying condition B γ,µ . With some mild assumptions on parameters, the convergence of these algorithms to a common fixed point of a sequence of commuting mappings satisfying condition B γ,µ is also proved. Our results extend and improve many recent results in the literature.