Fixed point theory and algorithms for sciences and engineering最新文献

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On ultrametrics, b-metrics, w-distances, metric-preserving functions, and fixed point theorems 关于超度量、乙度量、w-距离、度量保值函数和定点定理
Fixed point theory and algorithms for sciences and engineering Pub Date : 2024-05-06 DOI: 10.1186/s13663-024-00766-1
Suchat Samphavat, Thanakorn Prinyasart
{"title":"On ultrametrics, b-metrics, w-distances, metric-preserving functions, and fixed point theorems","authors":"Suchat Samphavat, Thanakorn Prinyasart","doi":"10.1186/s13663-024-00766-1","DOIUrl":"https://doi.org/10.1186/s13663-024-00766-1","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"59 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141008727","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 results for Geraghty–Ćirić-type contraction mappings in b-metric space with applications b-metric空间中格拉格蒂-乔里奇型收缩映射的定点结果及其应用
Fixed point theory and algorithms for sciences and engineering Pub Date : 2024-04-22 DOI: 10.1186/s13663-024-00764-3
Albray Gebremariam Kalo, Kidane Koyas Tola, Haider Ebrahim Yesuf
{"title":"Fixed point results for Geraghty–Ćirić-type contraction mappings in b-metric space with applications","authors":"Albray Gebremariam Kalo, Kidane Koyas Tola, Haider Ebrahim Yesuf","doi":"10.1186/s13663-024-00764-3","DOIUrl":"https://doi.org/10.1186/s13663-024-00764-3","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"42 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140676355","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
Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment COVID-19 传播的经典模型和卡普托模型的比较分析:疫苗接种和稳定性评估
Fixed point theory and algorithms for sciences and engineering Pub Date : 2024-01-22 DOI: 10.1186/s13663-024-00760-7
Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, O. A. Arqub, Mehmet Şenol
{"title":"Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment","authors":"Asifa Tassaddiq, Sania Qureshi, Amanullah Soomro, O. A. Arqub, Mehmet Şenol","doi":"10.1186/s13663-024-00760-7","DOIUrl":"https://doi.org/10.1186/s13663-024-00760-7","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"36 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139606722","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 convergence of best proximity points for generalized pseudo-contractive and Lipschitzian mappings via an Ishikawa-type iterative scheme 通过石川型迭代方案实现广义伪收缩映射和 Lipschitzian 映射的最佳临近点的存在性和收敛性
Fixed point theory and algorithms for sciences and engineering Pub Date : 2023-12-18 DOI: 10.1186/s13663-023-00757-8
V. Pragadeeswarar, R. Gopi
{"title":"Existence and convergence of best proximity points for generalized pseudo-contractive and Lipschitzian mappings via an Ishikawa-type iterative scheme","authors":"V. Pragadeeswarar, R. Gopi","doi":"10.1186/s13663-023-00757-8","DOIUrl":"https://doi.org/10.1186/s13663-023-00757-8","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"418 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139173243","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
A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces 求解巴拿赫空间中两个单调算子之和的解析量的新自适应方法
Fixed point theory and algorithms for sciences and engineering Pub Date : 2023-12-01 DOI: 10.1186/s13663-023-00753-y
H. Abass, M. Aphane, O. K. Oyewole
{"title":"A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces","authors":"H. Abass, M. Aphane, O. K. Oyewole","doi":"10.1186/s13663-023-00753-y","DOIUrl":"https://doi.org/10.1186/s13663-023-00753-y","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":" 77","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138613775","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
Random block-coordinate methods for inconsistent convex optimisation problems 非一致凸优化问题的随机块坐标方法
Fixed point theory and algorithms for sciences and engineering Pub Date : 2023-11-06 DOI: 10.1186/s13663-023-00751-0
Mathias Staudigl, Paulin Jacquot
{"title":"Random block-coordinate methods for inconsistent convex optimisation problems","authors":"Mathias Staudigl, Paulin Jacquot","doi":"10.1186/s13663-023-00751-0","DOIUrl":"https://doi.org/10.1186/s13663-023-00751-0","url":null,"abstract":"Abstract We develop a novel randomised block-coordinate primal-dual algorithm for a class of non-smooth ill-posed convex programs. Lying midway between the celebrated Chambolle–Pock primal-dual algorithm and Tseng’s accelerated proximal gradient method, we establish global convergence of the last iterate as well as optimal $O(1/k)$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mi>k</mml:mi> <mml:mo>)</mml:mo> </mml:math> and $O(1/k^{2})$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>O</mml:mi> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:msup> <mml:mi>k</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>)</mml:mo> </mml:math> complexity rates in the convex and strongly convex case, respectively, k being the iteration count. Motivated by the increased complexity in the control of distribution-level electric-power systems, we test the performance of our method on a second-order cone relaxation of an AC-OPF problem. Distributed control is achieved via the distributed locational marginal prices (DLMPs), which are obtained as dual variables in our optimisation framework.","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135585284","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 theorems for enriched Kannan mappings in CAT(0) spaces CAT(0)空间中富Kannan映射的不动点定理
Fixed point theory and algorithms for sciences and engineering Pub Date : 2023-10-16 DOI: 10.1186/s13663-023-00750-1
A. Y. Inuwa, P. Kumam, P. Chaipunya, S. Salisu
{"title":"Fixed point theorems for enriched Kannan mappings in CAT(0) spaces","authors":"A. Y. Inuwa, P. Kumam, P. Chaipunya, S. Salisu","doi":"10.1186/s13663-023-00750-1","DOIUrl":"https://doi.org/10.1186/s13663-023-00750-1","url":null,"abstract":"Abstract We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spaces and show that an appropriate Krasnoselskij scheme converges with certain rate to the fixed point. We proved some inclusion relations between enriched Kannan mapping and some applicable mappings such as strongly demicontractive mapping. Finally, we give an example in a nonlinear CAT(0) space and perform numerical experiments to support the theoretical results.","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136077772","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-point theorems of convex orbital $(alpha, beta )$-contraction mappings in geodesic spaces 凸轨道的一些不动点定理$(alpha, beta )$ -测地线空间中的收缩映射
Fixed point theory and algorithms for sciences and engineering Pub Date : 2023-09-12 DOI: 10.1186/s13663-023-00749-8
Rahul Shukla
{"title":"Some fixed-point theorems of convex orbital $(alpha, beta )$-contraction mappings in geodesic spaces","authors":"Rahul Shukla","doi":"10.1186/s13663-023-00749-8","DOIUrl":"https://doi.org/10.1186/s13663-023-00749-8","url":null,"abstract":"Abstract The aim of this paper is to broaden the applicability of convex orbital $(alpha, beta )$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>β</mml:mi> <mml:mo>)</mml:mo> </mml:math> -contraction mappings to geodesic spaces. This class of mappings is a natural extension of iterated contraction mappings. The paper derives fixed-point theorems both with and without assuming continuity. Furthermore, the paper investigates monotone convex orbital $(alpha, beta )$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>(</mml:mo> <mml:mi>α</mml:mi> <mml:mo>,</mml:mo> <mml:mi>β</mml:mi> <mml:mo>)</mml:mo> </mml:math> -contraction mappings and establishes a fixed-point theorem for this class of mappings.","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135824520","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: 2
Some applications of fixed point results for monotone multivalued and integral type contractive mappings 单调多值和积分型压缩映射不动点结果的一些应用
Fixed point theory and algorithms for sciences and engineering Pub Date : 2023-07-17 DOI: 10.1186/s13663-023-00748-9
Nassar Aiman Majid, A. Jumaili, Zhen Chuan Ng, Seekeong Lee
{"title":"Some applications of fixed point results for monotone multivalued and integral type contractive mappings","authors":"Nassar Aiman Majid, A. Jumaili, Zhen Chuan Ng, Seekeong Lee","doi":"10.1186/s13663-023-00748-9","DOIUrl":"https://doi.org/10.1186/s13663-023-00748-9","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48604232","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 theorems and applications in p-vector spaces p向量空间中的不动点定理及其应用
Fixed point theory and algorithms for sciences and engineering Pub Date : 2023-07-03 DOI: 10.1186/s13663-023-00747-w
G. Yuan
{"title":"Fixed point theorems and applications in p-vector spaces","authors":"G. Yuan","doi":"10.1186/s13663-023-00747-w","DOIUrl":"https://doi.org/10.1186/s13663-023-00747-w","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48344059","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: 2
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