Strong Convergence Theorems for Asymptotically Weak G‐Pseudo‐Ψ‐Contractive Non‐Self‐Mappings with the Generalized Projection in Banach Spaces
Copyright policy )Strong Convergence Theorems for Asymptotically Weak G‐Pseudo‐Ψ‐Contractive Non‐Self‐Mappings with the Generalized Projection in Banach Spaces
A new concept of the asymptotically weak G‐pseudo‐Ψ‐contractive non‐self‐mapping T : G ↦ B is introduced and some strong convergence theorems for the mapping are proved by using the generalized projection method combined with the modified successive approximation method or with the modified Mann iterative sequence method in a uniformly and smooth Banach space. The proof methods are also different from some past common methods.
- Zhanjiang Normal University China (People's Republic of)
- Zhejiang Normal University China (People's Republic of)
strong convergence, Fixed-point theorems, modified Mann iteration, Iterative procedures involving nonlinear operators, QA1-939, modified successive approximation method, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., generalized projection method, asymptotically weak \(G\)-pseudo-\(\Psi\)-contractive non-self-mappings, Mathematics, uniformly smooth Banach space
strong convergence, Fixed-point theorems, modified Mann iteration, Iterative procedures involving nonlinear operators, QA1-939, modified successive approximation method, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., generalized projection method, asymptotically weak \(G\)-pseudo-\(\Psi\)-contractive non-self-mappings, Mathematics, uniformly smooth Banach space
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