由非紧性测度的凝聚算子的最佳接近结果及其在积分方程中的应用

IF 0.3 Q4 MATHEMATICS

Thai Journal of Mathematics Pub Date : 2020-01-10 DOI:10.22541/au.158273394.45464645

M. Gabeleh, M. Asadi, E. Karapınar

{"title":"由非紧性测度的凝聚算子的最佳接近结果及其在积分方程中的应用","authors":"M. Gabeleh, M. Asadi, E. Karapınar","doi":"10.22541/au.158273394.45464645","DOIUrl":null,"url":null,"abstract":"We prove the best proximity point results for condensing operators on C-class of functions, by using a concept of measure of noncompactness. The results are applied to show the existence of a solution for certain integral equations. We express also an illsutrative examples to indicate the validity of the observed results.","PeriodicalId":45664,"journal":{"name":"Thai Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2020-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Best Proximity Results on Condensing Operators via Measure of Noncompactness with Application to Integral Equations\",\"authors\":\"M. Gabeleh, M. Asadi, E. Karapınar\",\"doi\":\"10.22541/au.158273394.45464645\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We prove the best proximity point results for condensing operators on C-class of functions, by using a concept of measure of noncompactness. The results are applied to show the existence of a solution for certain integral equations. We express also an illsutrative examples to indicate the validity of the observed results.\",\"PeriodicalId\":45664,\"journal\":{\"name\":\"Thai Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2020-01-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Thai Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22541/au.158273394.45464645\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thai Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22541/au.158273394.45464645","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 3

摘要

利用非紧性测度的概念，证明了c类函数上压缩算子的最佳接近点结果。应用所得结果证明了一类积分方程解的存在性。并给出了一个实例来说明所观察到的结果的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Best Proximity Results on Condensing Operators via Measure of Noncompactness with Application to Integral Equations

We prove the best proximity point results for condensing operators on C-class of functions, by using a concept of measure of noncompactness. The results are applied to show the existence of a solution for certain integral equations. We express also an illsutrative examples to indicate the validity of the observed results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Thai Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

20.00%

发文量

期刊介绍： Thai Journal of Mathematics (TJM) is a peer-reviewed, open access international journal publishing original research works of high standard in all areas of pure and applied mathematics.