Fixed point results of generalized Suzuki-Geraghty contractions on f-orbitally complete B-spaces

dc.contributor.authorLeyew, Bahru Tsegaye
dc.contributor.authorAbbas, Mujahid
dc.date.accessioned2017-08-29T09:43:33Z
dc.date.available2017-08-29T09:43:33Z
dc.date.issued2016
dc.description.abstractIn this paper, we introduce the concept of a generalized alpha-Suzuki-Geraghty type contraction mapping and obtain fixed point results in the framework of an f-orbitally complete b-metric space. The results proved herein improve, generalize, and unify various comparable results in the existing literature. Some examples are presented to validate the effectiveness and applicability of our main result. It is also shown that the presented results are proper extensions of corresponding results in the existing literature. As an application of our obtained result, we establish the existence of a solution of integral equations in the setup of b-metric spaces.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianam2017en_ZA
dc.description.sponsorshipThe National Research Foundation (NRF) and DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS).en_ZA
dc.description.urihttp://www.scientificbulletin.upb.ro/SeriaA_-_Matematica_si_fizica_aplicate.php?lang=english&page=main2en_ZA
dc.identifier.citationLeyew, BT & Abbas, M 2016, 'Fixed point results of generalized Suzuki-Geraghty contractions on f-orbitally complete B-spaces', Scientific Bulletin, Series A : Applied Mathematics and Physics, vol. 78, no. 4, pp. 1-16.en_ZA
dc.identifier.issn1223-7027 (print)
dc.identifier.issn2286-3672 (online)
dc.identifier.urihttp://hdl.handle.net/2263/62136
dc.language.isoenen_ZA
dc.publisherUniversity Politehnica of Bucharesten_ZA
dc.rights© 2016 University Politehnica of Bucharesten_ZA
dc.subjectb-Metricen_ZA
dc.subjectf-Orbitally completeen_ZA
dc.subjectAdmissibleen_ZA
dc.subjectFixed pointen_ZA
dc.subjectSuzuki-Geraghty typeen_ZA
dc.subjectAlpha-Suzuki-Geraghty typeen_ZA
dc.subjectTtriangular alpha-orbitalen_ZA
dc.subjectTheoremsen_ZA
dc.subjectMappingsen_ZA
dc.titleFixed point results of generalized Suzuki-Geraghty contractions on f-orbitally complete B-spacesen_ZA
dc.typeArticleen_ZA

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