Approximating Fixed Points of Quasi-Strictly Pseudocontractive Mappings by a Modified Krasnoselskiî–Mann Iterative Algorithm and Its Application in Hilbert Spaces

Approximating Fixed Points of Quasi-Strictly Pseudocontractive Mappings by a Modified Krasnoselskiî–Mann Iterative Algorithm and Its Application in Hilbert Spaces | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article Approximating Fixed Points of Quasi-Strictly Pseudocontractive Mappings by a Modified Krasnoselskiî–Mann Iterative Algorithm and Its Application in Hilbert Spaces Vajahat Karim Khan, Md. Kalimuddin Ahmad This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6932729/v1 This work is licensed under a CC BY 4.0 License Status: Posted Version 1 posted You are reading this latest preprint version Abstract In this paper we use a new approach to derive a strong convergence theorem with the help of quasi-nonexpensive mapping and modified Krasnoselskiî-Mann algorithm for approximating the fixed points of quasi k -strictly pseudocontractive mappings in Hilbert spaces. Moreover, we also compare convergence rates between the basic Krasnoselskiî-Mann fixed-point algorithm and the modified Krasnoselskiî-Mann algorithm with the help of one numerical example for quasi k -strictly pseudocontractive mapping. MSC Classification (2020): 47H09 , 47H10 , 47H05 , 49J40 , 47J20. Applied Mathematics Pure Mathematics Hilbert space quasi-nonexpansive mapping quasi k-strictly pseudocontractive mapping fixed point modified Krasnoselskiî-Mann algorithm strong convergence Full Text Additional Declarations The authors declare no competing interests. Cite Share Download PDF Status: Posted Version 1 posted You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. Our growing team is made up of researchers and industry professionals working together to solve the most critical problems facing scientific publishing. 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