{"title":"ON APPROXIMATING FIXED POINTS OF A NEW CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACE","authors":"Nazlı KADIOĞLU KARACA","doi":"10.51354/mjen.1361003","DOIUrl":null,"url":null,"abstract":"IN THIS PAPER, WE INTRODUCE DEFINITION OF A NEW CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACE. ADDITIONALLY, WE CONSTRUCT THE REWRITTEN VERSION OF MANN ITERATION PROCESS IN HYPERBOLIC SPACE. THEN, USING THE ITERATIVE PROCEDURE WE ESTABLISHED, WE PROVE CONVERGENCE THEOREMS FOR a-b GENERALIZED NONEXPANSIVE MAPPINS IN A UNIFORMLY CONVEX HYPERBOLIC SPACE. LASTLY, WE OFFER A NUMERICAL EXAMPLE TO ILLUSTRATE OUR FINDINGS.","PeriodicalId":102219,"journal":{"name":"MANAS Journal of Engineering","volume":"26 11","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"MANAS Journal of Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51354/mjen.1361003","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
IN THIS PAPER, WE INTRODUCE DEFINITION OF A NEW CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACE. ADDITIONALLY, WE CONSTRUCT THE REWRITTEN VERSION OF MANN ITERATION PROCESS IN HYPERBOLIC SPACE. THEN, USING THE ITERATIVE PROCEDURE WE ESTABLISHED, WE PROVE CONVERGENCE THEOREMS FOR a-b GENERALIZED NONEXPANSIVE MAPPINS IN A UNIFORMLY CONVEX HYPERBOLIC SPACE. LASTLY, WE OFFER A NUMERICAL EXAMPLE TO ILLUSTRATE OUR FINDINGS.
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