Existence of solutions of integral equations via fixed point theorems

dc.authorid Gulyaz, Selma/0000-0002-1876-6560
dc.authorid ERHAN, INCI M./0000-0001-6042-3695
dc.authorscopusid 15837090700
dc.authorscopusid 6507345917
dc.authorwosid Gulyaz, Selma/AAN-9525-2021
dc.authorwosid ERHAN, INCI M./HLH-1268-2023
dc.contributor.author Gulyaz, Selma
dc.contributor.author Erhan, Inci M.
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T14:27:35Z
dc.date.available 2024-07-05T14:27:35Z
dc.date.issued 2014
dc.department Atılım University en_US
dc.department-temp [Gulyaz, Selma] Cumhuriyet Univ, Dept Math, Sivas, Turkey; [Erhan, Inci M.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey en_US
dc.description Gulyaz, Selma/0000-0002-1876-6560; ERHAN, INCI M./0000-0001-6042-3695 en_US
dc.description.abstract Existence 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.citationcount 2
dc.identifier.doi 10.1186/1029-242X-2014-138
dc.identifier.issn 1029-242X
dc.identifier.scopus 2-s2.0-84899760696
dc.identifier.uri https://doi.org/10.1186/1029-242X-2014-138
dc.identifier.uri https://hdl.handle.net/20.500.14411/257
dc.identifier.wos WOS:000338221900001
dc.identifier.wosquality Q1
dc.institutionauthor Erhan, İnci
dc.language.iso en en_US
dc.publisher Springeropen en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 2
dc.subject fixed point theory en_US
dc.subject G-metric spaces en_US
dc.subject initial value problems en_US
dc.title Existence of solutions of integral equations via fixed point theorems en_US
dc.type Article en_US
dc.wos.citedbyCount 3
dspace.entity.type Publication
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