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Solving Integral Equations by Means of Fixed Point Theory

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dc.contributor.author Karapınar, Erdal
dc.contributor.author Fulga, A.
dc.contributor.author Shahzad, N.
dc.contributor.author Roldan Lopez de Hierro, A. F.
dc.date.accessioned 2024-05-14T11:07:18Z
dc.date.available 2024-05-14T11:07:18Z
dc.date.issued 2022
dc.identifier.citation Karapınar, Erdal...et al. (2022). "Solving Integral Equations by Means of Fixed Point Theory", Journal of Function Spaces, Vol. 2022. tr_TR
dc.identifier.issn 2314-8896
dc.identifier.issn 2314-8888
dc.identifier.uri http://hdl.handle.net/20.500.12416/8332
dc.description.abstract One of the most interesting tasks in mathematics is, undoubtedly, to solve any kind of equations. Naturally, this problem has occupied the minds of mathematicians since the dawn of algebra. There are hundreds of techniques for solving many classes of equations, facing the problem of finding solutions and studying whether such solutions are unique or multiple. One of the recent methodologies that is having great success in this field of study is the fixed point theory. Its iterative procedures are applicable to a great variety of contexts in which other algorithms fail. In this paper, we study a very general class of integral equations by means of a novel family of contractions in the setting of metric spaces. The main advantage of this family is the fact that its general contractivity condition can be particularized in a wide range of ways, depending on many parameters. Furthermore, such a contractivity condition involves many distinct terms that can be either adding or multiplying between them. In addition to this, the main contractivity condition makes use of the self-composition of the operator, whose associated theorems used to be more general than the corresponding ones by only using such mapping. In this setting, we demonstrate some fixed point theorems that guarantee the existence and, in some cases, the uniqueness, of fixed points that can be interpreted as solutions of the mentioned integral equations. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2022/7667499 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.title Solving Integral Equations by Means of Fixed Point Theory tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Function Spaces tr_TR
dc.contributor.authorID 19184 tr_TR
dc.identifier.volume 2022 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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