{"title":"几乎和极大无循环收缩的不动点定理","authors":"S. Sadiq Basha","doi":"10.1007/s44146-024-00156-4","DOIUrl":null,"url":null,"abstract":"<div><p>The purpose of this article is to prove fixed point theorems for new classes of acyclic mappings known as almost acyclic contractions and utmost acyclic contractions in the framework of a uniformly convex Banach space. Further, it is interesting to observe that a best proximity point theorem for cyclic contractions is elicited as an application of one of the fixed point theorems.</p></div>","PeriodicalId":46939,"journal":{"name":"ACTA SCIENTIARUM MATHEMATICARUM","volume":"91 1-2","pages":"83 - 93"},"PeriodicalIF":0.6000,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed point theorems for almost and utmost acyclic contractions\",\"authors\":\"S. Sadiq Basha\",\"doi\":\"10.1007/s44146-024-00156-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The purpose of this article is to prove fixed point theorems for new classes of acyclic mappings known as almost acyclic contractions and utmost acyclic contractions in the framework of a uniformly convex Banach space. Further, it is interesting to observe that a best proximity point theorem for cyclic contractions is elicited as an application of one of the fixed point theorems.</p></div>\",\"PeriodicalId\":46939,\"journal\":{\"name\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"volume\":\"91 1-2\",\"pages\":\"83 - 93\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-08-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACTA SCIENTIARUM MATHEMATICARUM\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s44146-024-00156-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACTA SCIENTIARUM MATHEMATICARUM","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s44146-024-00156-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Fixed point theorems for almost and utmost acyclic contractions
The purpose of this article is to prove fixed point theorems for new classes of acyclic mappings known as almost acyclic contractions and utmost acyclic contractions in the framework of a uniformly convex Banach space. Further, it is interesting to observe that a best proximity point theorem for cyclic contractions is elicited as an application of one of the fixed point theorems.
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