Existence of solutions of integral equations via fixed point theorems

dc.authoridGulyaz, Selma/0000-0002-1876-6560
dc.authoridERHAN, INCI M./0000-0001-6042-3695
dc.authorscopusid15837090700
dc.authorscopusid6507345917
dc.authorwosidGulyaz, Selma/AAN-9525-2021
dc.authorwosidERHAN, INCI M./HLH-1268-2023
dc.contributor.authorErhan, İnci
dc.contributor.authorErhan, Inci M.
dc.contributor.otherMathematics
dc.date.accessioned2024-07-05T14:27:35Z
dc.date.available2024-07-05T14:27:35Z
dc.date.issued2014
dc.departmentAtılım Universityen_US
dc.department-temp[Gulyaz, Selma] Cumhuriyet Univ, Dept Math, Sivas, Turkey; [Erhan, Inci M.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkeyen_US
dc.descriptionGulyaz, Selma/0000-0002-1876-6560; ERHAN, INCI M./0000-0001-6042-3695en_US
dc.description.abstractExistence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.en_US
dc.identifier.citation2
dc.identifier.doi10.1186/1029-242X-2014-138
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84899760696
dc.identifier.urihttps://doi.org/10.1186/1029-242X-2014-138
dc.identifier.urihttps://hdl.handle.net/20.500.14411/257
dc.identifier.wosWOS:000338221900001
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherSpringeropenen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectfixed point theoryen_US
dc.subjectG-metric spacesen_US
dc.subjectinitial value problemsen_US
dc.titleExistence of solutions of integral equations via fixed point theoremsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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