Sirajo Yahaya, Mohammed Shehu Shagari, Tijjani Abba Ali
{"title":"Multivalued hybrid contraction that involves Jaggi and Pata-type inequalities","authors":"Sirajo Yahaya, Mohammed Shehu Shagari, Tijjani Abba Ali","doi":"10.3934/mfc.2023045","DOIUrl":null,"url":null,"abstract":"In this manuscript, a new concept of multivalued contraction is defined from a combination of Jaggi-type contractions, interpolative-type contraction and Pata-type inequality in the framework of metric space, and we analyze the existence of fixed points for such contractions equipped with some suitable hypotheses. One of the motivations forming the background of this paper is the fact that fixed point of a single-valued mapping satisfying the interpolative contractive condition is not necessarily unique, and thereby making the notions more appropriate for fixed point theorems of multi-valued mappings. A few salient consequences, including the single-valued cases are highlighted and discussed to indicate the significance of our proposed ideas. Also we give a comparative example.","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical foundations of computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/mfc.2023045","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
In this manuscript, a new concept of multivalued contraction is defined from a combination of Jaggi-type contractions, interpolative-type contraction and Pata-type inequality in the framework of metric space, and we analyze the existence of fixed points for such contractions equipped with some suitable hypotheses. One of the motivations forming the background of this paper is the fact that fixed point of a single-valued mapping satisfying the interpolative contractive condition is not necessarily unique, and thereby making the notions more appropriate for fixed point theorems of multi-valued mappings. A few salient consequences, including the single-valued cases are highlighted and discussed to indicate the significance of our proposed ideas. Also we give a comparative example.