{"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}
{"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}
{"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}
{"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}
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}
{"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}
{"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}
{"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}
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}
{"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}