{"title":"满足(hrsc)条件的映射的不动点定理","authors":"Nurcan Bilgili Güngör","doi":"10.36287/setsci.4.6.151","DOIUrl":null,"url":null,"abstract":"In 2008 Suzuki introduced C-condition for mappings which defined on a subset of a Banach space and presented fixed point theorems. And in 2010 Khan and Suzuki gave a reich type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach space. Also in 2013 Karapınar introduced generalized C-conditions for mappings which defined on a subset of a Banach space and proved related fixed point theorems. And then in 2015 Thakur, Singh Thahur and Postolache proved fixed point theorems for mapping which satisfy RCSC-condition. In this paper fixed point theorems for mappings spaces which satisfy (HRSC)-condition are proved.","PeriodicalId":6817,"journal":{"name":"4th International Symposium on Innovative Approaches in Engineering and Natural Sciences Proceedings","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FIXED POINT THEOREMS FOR MAPPINGS WHICH SATISFY (HRSC)-CONDITION\",\"authors\":\"Nurcan Bilgili Güngör\",\"doi\":\"10.36287/setsci.4.6.151\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In 2008 Suzuki introduced C-condition for mappings which defined on a subset of a Banach space and presented fixed point theorems. And in 2010 Khan and Suzuki gave a reich type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach space. Also in 2013 Karapınar introduced generalized C-conditions for mappings which defined on a subset of a Banach space and proved related fixed point theorems. And then in 2015 Thakur, Singh Thahur and Postolache proved fixed point theorems for mapping which satisfy RCSC-condition. In this paper fixed point theorems for mappings spaces which satisfy (HRSC)-condition are proved.\",\"PeriodicalId\":6817,\"journal\":{\"name\":\"4th International Symposium on Innovative Approaches in Engineering and Natural Sciences Proceedings\",\"volume\":\"22 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"4th International Symposium on Innovative Approaches in Engineering and Natural Sciences Proceedings\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36287/setsci.4.6.151\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"4th International Symposium on Innovative Approaches in Engineering and Natural Sciences Proceedings","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36287/setsci.4.6.151","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
FIXED POINT THEOREMS FOR MAPPINGS WHICH SATISFY (HRSC)-CONDITION
In 2008 Suzuki introduced C-condition for mappings which defined on a subset of a Banach space and presented fixed point theorems. And in 2010 Khan and Suzuki gave a reich type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach space. Also in 2013 Karapınar introduced generalized C-conditions for mappings which defined on a subset of a Banach space and proved related fixed point theorems. And then in 2015 Thakur, Singh Thahur and Postolache proved fixed point theorems for mapping which satisfy RCSC-condition. In this paper fixed point theorems for mappings spaces which satisfy (HRSC)-condition are proved.
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