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Advances in Fixed Point Theory最新文献

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Some graphical fixed point results in a variable exponent sequence space 在变指数序列空间中有一些图形不动点的结果
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8226
{"title":"Some graphical fixed point results in a variable exponent sequence space","authors":"","doi":"10.28919/afpt/8226","DOIUrl":"https://doi.org/10.28919/afpt/8226","url":null,"abstract":"The main goal of this paper is to establish several fixed point results for certain mappings within variable exponent sequence spaces equipped with a graph. This will be achieved by integrating the principles of fixed point theory with those of graph theory.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135611970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some fixed points results using (ψ,ϕ) generalized weakly contractive map on a generalized 2-metric space 利用(ψ， φ)广义弱压缩映射在广义2-度量空间上的一些不动点结果
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8218
{"title":"Some fixed points results using (ψ,ϕ) generalized weakly contractive map on a generalized 2-metric space","authors":"","doi":"10.28919/afpt/8218","DOIUrl":"https://doi.org/10.28919/afpt/8218","url":null,"abstract":"The main purpose of this paper is to define a generalized 2-metric and prove the existence and uniqueness of fixed points for (ψ,ϕ) generalized weakly contractive mappings in a generalized 2-metric space.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134889001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and uniqueness of fixed point for α-contractions in rectangular quasi b-metric spaces 直角拟b-度量空间中α-收缩不动点的存在唯一性
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8152
{"title":"Existence and uniqueness of fixed point for α-contractions in rectangular quasi b-metric spaces","authors":"","doi":"10.28919/afpt/8152","DOIUrl":"https://doi.org/10.28919/afpt/8152","url":null,"abstract":"In this manuscript, we give some new examples of rectangular quasi b-metric spaces and it is not rectangular metric space nor metric space. After that we prove existence and uniqueness of new fixed points for some new contractions in rectangular quasi b-metric spaces. Then we validate these findings with appropriate and innovative examples.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135650981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed point theorem in partially ordered partial metric spaces 偏序偏度量空间中的不动点定理
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8188
{"title":"Fixed point theorem in partially ordered partial metric spaces","authors":"","doi":"10.28919/afpt/8188","DOIUrl":"https://doi.org/10.28919/afpt/8188","url":null,"abstract":"In this paper, we introduce the existence fixed point theorem in the context of partial metric space endowed with partial ordering. Our results generalize and extend some recent results of Ran and Reurings (2004) and Nieto and Rodr´ıguez-Lopez (2005) to partial metric spaces.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135106301","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
G-metric spaces and the related approximate fixed point results g -度量空间及相关的近似不动点结果
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8178
{"title":"G-metric spaces and the related approximate fixed point results","authors":"","doi":"10.28919/afpt/8178","DOIUrl":"https://doi.org/10.28919/afpt/8178","url":null,"abstract":"In this paper, we investigate the existence and diameter of the approximate fixed point results on G-metric spaces (not necessarily complete) by using various contraction mappings, including G-B contraction, G-Bianchini contraction, and so on. Additionally, we prove the same approximate fixed point results for rational type contraction mappings, which were discussed mainly in [11] and [16], in the setting of G-metric space. Also, a few examples are provided to demonstrate our findings. Finally, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136003982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Tingley problem on the unit sphere of complex Lp[0,1] space 复Lp[0,1]空间单位球上的Tingley问题
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8133
{"title":"The Tingley problem on the unit sphere of complex Lp[0,1] space","authors":"","doi":"10.28919/afpt/8133","DOIUrl":"https://doi.org/10.28919/afpt/8133","url":null,"abstract":"In this paper, we investigate the problem of extending isometric operators from unit sphere of complex Lp spaces (1<p<∞, p≠2) to general complex Banach spaces. By studying the isometric operators, we prove the Tingley problem on complex Lp spaces and provide a positive answer under some conditions. That is, it is proved that for a surjective isometry V0 on any complex Lp[0,1] unit sphere to any general complex Banach space E unit sphere, Under some conditions,V0 can be extended to a linear isometry from the entire space Lp[0,1] to E.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135549396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some new fixed points results for a class of set-valued mappings in metric spaces 给出了度量空间中一类集值映射的一些新的不动点
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8141
{"title":"Some new fixed points results for a class of set-valued mappings in metric spaces","authors":"","doi":"10.28919/afpt/8141","DOIUrl":"https://doi.org/10.28919/afpt/8141","url":null,"abstract":"In this article, a wider class of set-valued mappings is introduced, and a fixed point theorem for this new mapping in a metric space is proved. Then, we derive a number of implications from our main finding. We also present two non-trivial examples to support our primary theorem. Moreover, we look into fixed point set stability for set-valued mappings and well-posedness. Finally, we present an application to integral inclusion problem.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135550738","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
β-σ-Geraghty type contraction mapping and fixed point results in generalized Gb-metric space 广义gb -度量空间中的β-σ-Geraghty型收缩映射和不动点结果
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8167
{"title":"β-σ-Geraghty type contraction mapping and fixed point results in generalized Gb-metric space","authors":"","doi":"10.28919/afpt/8167","DOIUrl":"https://doi.org/10.28919/afpt/8167","url":null,"abstract":". This article investigates Fixed Point Results in Generalized G b -metric space by focusing on the concept of β - σ -Geraghty type contraction mapping in generalized G b -complete metric space (CMS). We examine the fixed point results for this type of mapping and present several theorems that extend and generalize previous findings in the field. Our study contributes to a deeper understanding of Fixed Point Results in Generalized G b -metric space","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135312075","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Best proximity point theorems for proximal pointwise tricyclic contraction 近点三环收缩的最佳邻近点定理
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8194
{"title":"Best proximity point theorems for proximal pointwise tricyclic contraction","authors":"","doi":"10.28919/afpt/8194","DOIUrl":"https://doi.org/10.28919/afpt/8194","url":null,"abstract":". This article provides an introduction to the topics of proximal pointwise tricyclic contraction (PPTC) and best proximity point (BPP) existence in a weakly compact convex subset triad.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135447954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New fixed point theorems for (τ-ψ)-contraction mapping in complete rectangular M-metric space 完备矩形m -度量空间中(τ-ψ)-收缩映射的新不动点定理
Advances in Fixed Point Theory Pub Date : 2023-01-01 DOI: 10.28919/afpt/8190
{"title":"New fixed point theorems for (τ-ψ)-contraction mapping in complete rectangular M-metric space","authors":"","doi":"10.28919/afpt/8190","DOIUrl":"https://doi.org/10.28919/afpt/8190","url":null,"abstract":"In this article, we prove a fixed point result for (τ-ψ)-contraction in rectangular M-metric space. Moreover, we discuss some examples that realized the results. Finally, we investigate the existence and uniqueness of a solution of non-linear matrix equations and integral equations of Fredholm type as well.","PeriodicalId":422517,"journal":{"name":"Advances in Fixed Point Theory","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136372353","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
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