Convergence and stability of modified multi-step Noor iterative procedure with errors for strictly hemicontractive-type mappings in Banach spaces

Fixexd point theory and applications

article

Asaduzzaman, Md.¹ 

[1] Department of Mathematics, Islamic University

关键词: Modified multi-step Noor iterative procedure with errors;    Lipschitz strictly hemicontractive-type mapping;    Convergence;    Common stability;    Almost common-stability;   

DOI  :  10.1186/s13663-021-00692-6

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce and study a modified multi-step Noor iterative procedure with errors for two Lipschitz strictly hemicontractive-type mappings in arbitrary Banach spaces and constitute its convergence and stability. The obtained results in this paper generalize and extend the corresponding result of Hussain et al. (Fixed Point Theory Appl. 2012:160, 2012) and some analogous results of several authors in the literature. Finally, a numerical example is included to illustrate our analytical results and to display the efficiency of our proposed novel iterative procedure with errors.

【 授权许可】

Unknown