{"title":"Solving a well-posed fractional initial value problem by a complex approach","authors":"A. Fernandez, Sümeyra Uçar, N. Özdemir","doi":"10.1186/s13663-021-00696-2","DOIUrl":"https://doi.org/10.1186/s13663-021-00696-2","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"2021 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13663-021-00696-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65789196","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}
{"title":"Projecting onto rectangular matrices with prescribed row and column sums","authors":"Heinz H. Bauschke, Shambhavi Singh, Xianfu Wang","doi":"10.1186/s13663-021-00708-1","DOIUrl":"https://doi.org/10.1186/s13663-021-00708-1","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41475964","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}
{"title":"Feasibility-based fixed point networks","authors":"Howard Heaton, Samy Wu Fung, A. Gibali, W. Yin","doi":"10.1186/s13663-021-00706-3","DOIUrl":"https://doi.org/10.1186/s13663-021-00706-3","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49338454","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}
{"title":"Stochastic approximation method using diagonal positive-definite matrices for convex optimization with fixed point constraints","authors":"H. Iiduka","doi":"10.1186/s13663-021-00695-3","DOIUrl":"https://doi.org/10.1186/s13663-021-00695-3","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"2021 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13663-021-00695-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65789158","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}
{"title":"String-averaging methods for best approximation to common fixed point sets of operators: the finite and infinite cases","authors":"Y. Censor, Ariel Nisenbaum","doi":"10.1186/s13663-021-00694-4","DOIUrl":"https://doi.org/10.1186/s13663-021-00694-4","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65789136","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}
{"title":"Minimal set of periods for continuous self-maps of the eight space","authors":"J. Llibre, A. Sá","doi":"10.1186/s13663-020-00687-9","DOIUrl":"https://doi.org/10.1186/s13663-020-00687-9","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13663-020-00687-9","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65789097","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}
{"title":"On the nonlinear Hadamard-type integro-differential equation.","authors":"Chenkuan Li","doi":"10.1186/s13663-021-00693-5","DOIUrl":"https://doi.org/10.1186/s13663-021-00693-5","url":null,"abstract":"<p><p>This paper studies uniqueness of solutions for a nonlinear Hadamard-type integro-differential equation in the Banach space of absolutely continuous functions based on Babenko's approach and Banach's contraction principle. We also include two illustrative examples to demonstrate the use of main theorems.</p>","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"2021 1","pages":"7"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13663-021-00693-5","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"25586090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On compositions of special cases of Lipschitz continuous operators.","authors":"Pontus Giselsson, Walaa M Moursi","doi":"10.1186/s13663-021-00709-0","DOIUrl":"https://doi.org/10.1186/s13663-021-00709-0","url":null,"abstract":"<p><p>Many iterative optimization algorithms involve compositions of special cases of Lipschitz continuous operators, namely firmly nonexpansive, averaged, and nonexpansive operators. The structure and properties of the compositions are of particular importance in the proofs of convergence of such algorithms. In this paper, we systematically study the compositions of further special cases of Lipschitz continuous operators. Applications of our results include compositions of scaled conically nonexpansive mappings, as well as the Douglas-Rachford and forward-backward operators, when applied to solve certain structured monotone inclusion and optimization problems. Several examples illustrate and tighten our conclusions.</p>","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"2021 1","pages":"25"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8685197/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"39669396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On Berinde’s method for comparing iterative processes","authors":"C. Zălinescu","doi":"10.1186/s13663-020-00685-x","DOIUrl":"https://doi.org/10.1186/s13663-020-00685-x","url":null,"abstract":"","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":"2021 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13663-020-00685-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43075824","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}