{"title":"部分序' G ' -度量空间中无混合单调性映射的耦合重合点结果","authors":"E. A. Adegani, Monica-Felicia Bota","doi":"10.29252/maco.1.1.9","DOIUrl":null,"url":null,"abstract":"In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings which doesn't have the mixed monotone property, in the context of partially ordered `G`-metric spaces. Hence, these results can be applied in a much wider class of problems. Our results improve the result of D. Dori'{c}, Z. Kadelburg and S. Radenovi'{c} [Appl. Math. Lett. (2012)]. We also present two examples to support these new results.","PeriodicalId":360771,"journal":{"name":"Mathematical Analysis and Convex Optimization","volume":"323 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Coupled coincidence point results for mappings without mixed monotone property in partially ordered `G`-metric spaces\",\"authors\":\"E. A. Adegani, Monica-Felicia Bota\",\"doi\":\"10.29252/maco.1.1.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings which doesn't have the mixed monotone property, in the context of partially ordered `G`-metric spaces. Hence, these results can be applied in a much wider class of problems. Our results improve the result of D. Dori'{c}, Z. Kadelburg and S. Radenovi'{c} [Appl. Math. Lett. (2012)]. We also present two examples to support these new results.\",\"PeriodicalId\":360771,\"journal\":{\"name\":\"Mathematical Analysis and Convex Optimization\",\"volume\":\"323 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Analysis and Convex Optimization\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29252/maco.1.1.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Analysis and Convex Optimization","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29252/maco.1.1.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
本文在偏序G -度量空间中，证明了不具有混合单调性质的非线性压缩映射的耦合不动点定理。因此，这些结果可以应用于更广泛的问题类别。本文的研究结果改进了D. Dori'{c}， Z. Kadelburg和S. Radenovi'{c} [j]。数学。列托人。(2012)]。我们还提供了两个例子来支持这些新结果。
Coupled coincidence point results for mappings without mixed monotone property in partially ordered `G`-metric spaces
In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings which doesn't have the mixed monotone property, in the context of partially ordered `G`-metric spaces. Hence, these results can be applied in a much wider class of problems. Our results improve the result of D. Dori'{c}, Z. Kadelburg and S. Radenovi'{c} [Appl. Math. Lett. (2012)]. We also present two examples to support these new results.
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