{"title":"Fixed Point Theorem for Ɓ-type Contraction in Partial Metric Spaces","authors":"Bijender Singh, V. Sihag, Anil Ahlawat","doi":"10.12723/mjs.60.3","DOIUrl":null,"url":null,"abstract":"The objective of this work is to study Ɓ-types of contraction mappings in the settings of partial metric space and establish fixed point results. As a result, a fixed point theorem has been established for a pair of Ɓ-type contraction mappings with a unique common fixed point. The study's main findings, in particular, expand and extend a fixed point theorem first proposed by Bijender et. al. in 2021.","PeriodicalId":18050,"journal":{"name":"Mapana Journal of Sciences","volume":"837 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mapana Journal of Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12723/mjs.60.3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The objective of this work is to study Ɓ-types of contraction mappings in the settings of partial metric space and establish fixed point results. As a result, a fixed point theorem has been established for a pair of Ɓ-type contraction mappings with a unique common fixed point. The study's main findings, in particular, expand and extend a fixed point theorem first proposed by Bijender et. al. in 2021.