On the Approximation of Solutions To a Fixed Point Problem With Inequality Constraints in a Banach Space Partially Ordered by a Cone

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dc.authorscopusid 23012064600
dc.authorscopusid 16678995500
dc.authorscopusid 55884062400
dc.contributor.author Jleli,M.
dc.contributor.author Karapinar,E.
dc.contributor.author Samet,B.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:45:11Z
dc.date.available 2024-07-05T15:45:11Z
dc.date.issued 2017
dc.department Atılım University en_US
dc.department-temp Jleli M., Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia; Karapinar E., Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey, Nonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, Jeddah, 21589, Saudi Arabia; Samet B., Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia en_US
dc.description.abstract Let E be a Banach space with a cone P. Let T, ϕi: E → E (i = 1, 2) be three given operators. We address the following question: Find x ε E such that where ≤P is the partial order on E induced by the cone P, and 0E is the zero vector of E. We obtain sufficient conditions for the existence and uniqueness of solutions to this problem. We present an iterative algorithm to approximate the solution. The error estimates as well as results concerning the data dependence, well-posedness, limit shadowing property, and sequences of operators are provided. Some interesting consequences are deduced from our main results. © Springer Nature Singapore Pte Ltd. 2017. All rights reserved. en_US
dc.identifier.citationcount 2
dc.identifier.doi 10.1007/978-981-10-3722-1_12
dc.identifier.endpage 455 en_US
dc.identifier.isbn 978-981103722-1
dc.identifier.isbn 978-981103721-4
dc.identifier.scopus 2-s2.0-85033328620
dc.identifier.startpage 441 en_US
dc.identifier.uri https://doi.org/10.1007/978-981-10-3722-1_12
dc.identifier.uri https://hdl.handle.net/20.500.14411/3860
dc.institutionauthor Karapınar, Erdal
dc.language.iso en en_US
dc.publisher Springer Singapore en_US
dc.relation.ispartof Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness en_US
dc.relation.publicationcategory Kitap Bölümü - Uluslararası en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 2
dc.subject [No Keyword Available] en_US
dc.title On the Approximation of Solutions To a Fixed Point Problem With Inequality Constraints in a Banach Space Partially Ordered by a Cone en_US
dc.type Book Part en_US
dspace.entity.type Publication
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relation.isAuthorOfPublication.latestForDiscovery 69e25f84-afec-4c79-a19a-1e7811d90143
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relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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