General Cesaro mean approximation methods for nonexpansive mappings in Hilbert spaces
Pramote Markshoe, Rabian Wangkeeree
Abstract
Pramote Markshoe, Rabian Wangkeeree
Abstract
Let C be a nonempty closed convex subset of a real Hilbert space H, f a contraction on C and A a strongly bounded linear operator on H with coefficient γ > 0. Consider a general Cesaro mean iterative method x0 ∈ C, xn+1 = αnγf(xn) + βnxn + ((1 − βn)I + αnA) 1 n + 1 n
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Let C be a nonempty closed convex subset of a real Hilbert space H, f a contraction on C and A a strongly bounded linear operator on H with coefficient γ > 0. Consider a general Cesaro mean iterative method x0 ∈ C, xn+1 = αnγf(xn) + βnxn + ((1 − βn)I + αnA) 1 n + 1 n
Key concepts: Mathematics, Hilbert space, Regular polygon, Bounded function, Bounded operator, Contraction (grammar), Linear operators, Operator (biology)