Solution of integral equations via coupled fixed point theorems in F-complete metric spaces
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Mani, Gunaseelan | - |
dc.contributor.author | Gnanaprakasam, Arul Joseph | - |
dc.contributor.author | Lee, Jung Rye | - |
dc.contributor.author | Park, Choonkil | - |
dc.date.accessioned | 2022-07-06T16:06:42Z | - |
dc.date.available | 2022-07-06T16:06:42Z | - |
dc.date.created | 2022-01-05 | - |
dc.date.issued | 2021-07 | - |
dc.identifier.issn | 2391-5455 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/141474 | - |
dc.description.abstract | The concept of coupled F-orthogonal contraction mapping is introduced in this paper, and some coupled fixed point theorems in orthogonal metric spaces are proved. The obtained results generalize and extend some of the well-known results in the literature. An example is presented to support our results. Furthermore, we apply our result to obtain the existence theorem for a common solution of the integral equations: {zeta(nu) = partial derivative(nu) + integral(m)(0) Xi(nu, beta)Omega(beta, zeta(beta), xi(beta))d beta, nu is an element of [0, H], xi(nu) = partial derivative(nu) + integral(m)(0) Xi(nu, beta)Omega(beta, xi(beta), zeta(beta))d beta, nu is an element of [0, H], where (a) partial derivative : m -> R and Omega : m x R x R -> R are continuous; (b) Xi : m x m is continuous and measurable at beta is an element of m, for all nu is an element of m; (c) Xi(nu, beta) >= 0, for all nu, beta is an element of m and integral(H)(0) Xi(nu, beta)d beta <= 1, for all nu is an element of m. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | DE GRUYTER POLAND SP Z O O | - |
dc.title | Solution of integral equations via coupled fixed point theorems in F-complete metric spaces | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Park, Choonkil | - |
dc.identifier.doi | 10.1515/math-2021-0075 | - |
dc.identifier.scopusid | 2-s2.0-85121903500 | - |
dc.identifier.wosid | 000728454900001 | - |
dc.identifier.bibliographicCitation | OPEN MATHEMATICS, v.19, no.1, pp.1223 - 1230 | - |
dc.relation.isPartOf | OPEN MATHEMATICS | - |
dc.citation.title | OPEN MATHEMATICS | - |
dc.citation.volume | 19 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1223 | - |
dc.citation.endPage | 1230 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | MAPPINGS | - |
dc.subject.keywordAuthor | orthogonal set | - |
dc.subject.keywordAuthor | orthogonal metric space | - |
dc.subject.keywordAuthor | orthogonal continuous | - |
dc.subject.keywordAuthor | orthogonal preserving | - |
dc.subject.keywordAuthor | orthogonal F-contraction | - |
dc.subject.keywordAuthor | coupled fixed point | - |
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