Pub Date : 2023-09-16DOI: 10.1007/s11784-023-01082-8
Pierre-Alexandre Arlove
Abstract We prove that some paths of contactomorphisms of $${mathbb {R}}^{2n}times S^1$$ R2n×S1 endowed with its standard contact structure are geodesics for different norms defined on the identity component of the group of compactly supported contactomorphisms and its universal cover. We characterize these geodesics by giving conditions on the Hamiltonian functions that generate them. For every norm considered we show that the norm of a contactomorphism that is the time-one of such a geodesic can be expressed in terms of the maximum of the absolute value of the corresponding Hamiltonian function. In particular we recover the fact that these norms are unbounded.
{"title":"Geodesics of norms on the contactomorphisms group of $${mathbb {R}}^{2n}times S^1$$","authors":"Pierre-Alexandre Arlove","doi":"10.1007/s11784-023-01082-8","DOIUrl":"https://doi.org/10.1007/s11784-023-01082-8","url":null,"abstract":"Abstract We prove that some paths of contactomorphisms of $${mathbb {R}}^{2n}times S^1$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>1</mml:mn> </mml:msup> </mml:mrow> </mml:math> endowed with its standard contact structure are geodesics for different norms defined on the identity component of the group of compactly supported contactomorphisms and its universal cover. We characterize these geodesics by giving conditions on the Hamiltonian functions that generate them. For every norm considered we show that the norm of a contactomorphism that is the time-one of such a geodesic can be expressed in terms of the maximum of the absolute value of the corresponding Hamiltonian function. In particular we recover the fact that these norms are unbounded.","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":"141 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135307281","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-16DOI: 10.1007/s11784-023-01081-9
Fardin Amini, S. Saeidi
{"title":"Concepts of almost periodicity and ergodic theorems in locally convex spaces","authors":"Fardin Amini, S. Saeidi","doi":"10.1007/s11784-023-01081-9","DOIUrl":"https://doi.org/10.1007/s11784-023-01081-9","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42883584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-14DOI: 10.1007/s11784-023-01077-5
Jiaqing Hu, Anmin Mao
{"title":"Normalized solutions to nonlocal Schrödinger systems with L2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^2$$end{","authors":"Jiaqing Hu, Anmin Mao","doi":"10.1007/s11784-023-01077-5","DOIUrl":"https://doi.org/10.1007/s11784-023-01077-5","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46531166","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-05DOI: 10.1007/s11784-023-01071-x
Y. Kimura, K. Sasaki
{"title":"Sufficient conditions for perturbations to define the resolvent of the equilibrium problem on complete geodesic spaces","authors":"Y. Kimura, K. Sasaki","doi":"10.1007/s11784-023-01071-x","DOIUrl":"https://doi.org/10.1007/s11784-023-01071-x","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45909854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-04DOI: 10.1007/s11784-023-01079-3
A. Coronel, Alexis Tello, Fernando Huancas, M. Rojas-Medar
{"title":"Application of Tikhonov fixed point theorem to analyze an inverse problem for a bioconvective flow model","authors":"A. Coronel, Alexis Tello, Fernando Huancas, M. Rojas-Medar","doi":"10.1007/s11784-023-01079-3","DOIUrl":"https://doi.org/10.1007/s11784-023-01079-3","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43383785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1007/s11784-023-01075-7
G. Huang, B. Ma, Qianyu Zeng
{"title":"Variational formulae of some functionals by the modified Schouten tensor","authors":"G. Huang, B. Ma, Qianyu Zeng","doi":"10.1007/s11784-023-01075-7","DOIUrl":"https://doi.org/10.1007/s11784-023-01075-7","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47563668","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-08-01DOI: 10.1007/s11784-023-01078-4
E. Petrov
{"title":"Fixed point theorem for mappings contracting perimeters of triangles","authors":"E. Petrov","doi":"10.1007/s11784-023-01078-4","DOIUrl":"https://doi.org/10.1007/s11784-023-01078-4","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44546587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-24DOI: 10.1007/s11784-023-01076-6
Tingzhi Cheng, Xianghui Xu
{"title":"Existence of positive solutions for one dimensional Minkowski curvature problem with singularity","authors":"Tingzhi Cheng, Xianghui Xu","doi":"10.1007/s11784-023-01076-6","DOIUrl":"https://doi.org/10.1007/s11784-023-01076-6","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46335092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-12DOI: 10.1007/s11784-023-01073-9
Pierluigi Benevieri, A. Calamai, Massimo Furi, M. Pera
{"title":"An infinite dimensional version of the intermediate value theorem","authors":"Pierluigi Benevieri, A. Calamai, Massimo Furi, M. Pera","doi":"10.1007/s11784-023-01073-9","DOIUrl":"https://doi.org/10.1007/s11784-023-01073-9","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47827591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-06DOI: 10.1007/s11784-023-01072-w
J. Matkowski
{"title":"A generalization of the Goebel–Kirk fixed point theorem for asymptotically nonexpansive mappings","authors":"J. Matkowski","doi":"10.1007/s11784-023-01072-w","DOIUrl":"https://doi.org/10.1007/s11784-023-01072-w","url":null,"abstract":"","PeriodicalId":54835,"journal":{"name":"Journal of Fixed Point Theory and Applications","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46619178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：