Pub Date : 1900-01-01DOI: 10.23952/jano.4.2022.1.01
{"title":"A Special Issue on Recent Progress on Vector Optimization and Related Topics Dedicated to Professor Dinh The Luc on the occasion of his 70th birthday","authors":"","doi":"10.23952/jano.4.2022.1.01","DOIUrl":"https://doi.org/10.23952/jano.4.2022.1.01","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125918543","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.3.2021.3.04
{"title":"New linear convergence results on quasi-variational inequalities","authors":"","doi":"10.23952/jano.3.2021.3.04","DOIUrl":"https://doi.org/10.23952/jano.3.2021.3.04","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126023939","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.4.2022.3.03
{"title":"A stochastic selective projection method for solving a constrained stochastic variational inequality problem","authors":"","doi":"10.23952/jano.4.2022.3.03","DOIUrl":"https://doi.org/10.23952/jano.4.2022.3.03","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"364 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126656879","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.3.2021.1.01
{"title":"Editorial: A special issue on optimization and related topics dedicated to Professor Roman Polyak","authors":"","doi":"10.23952/jano.3.2021.1.01","DOIUrl":"https://doi.org/10.23952/jano.3.2021.1.01","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124980729","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.1.2019.2.05
A. Gibali, HA NGUYENH., N. T. Thuong, T. H. Trang, N. T. Vinh
In this paper, we are concerned with the problem of finding minimum-norm solutions of a split convex feasibility problem in real Hilbert spaces. We study and analyze the convergence of a new self-adaptive CQ algorithm. The main advantage of the algorithm is that there is no need to calculate the norm of the involved operator.
{"title":"Polyak’s gradient method for solving the split convex feasibility problem and its applications","authors":"A. Gibali, HA NGUYENH., N. T. Thuong, T. H. Trang, N. T. Vinh","doi":"10.23952/jano.1.2019.2.05","DOIUrl":"https://doi.org/10.23952/jano.1.2019.2.05","url":null,"abstract":"In this paper, we are concerned with the problem of finding minimum-norm solutions of a split convex feasibility problem in real Hilbert spaces. We study and analyze the convergence of a new self-adaptive CQ algorithm. The main advantage of the algorithm is that there is no need to calculate the norm of the involved operator.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125698635","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.2.2020.2.02
Li Xiao-huan, Q. Dong, A. Gibali
In this paper, we introduce some new iterative algorithms for finding fixed points of nonexpansive mappings with the aid of projection and contraction methods. Weak and strong convergence theorems are established under mild conditions in Hilbert spaces. The numerical examples are presented to illustrate the advantage of our proposed algorithms.
{"title":"Some new iterative algorithms for finding fixed points of nonexpansive mappings","authors":"Li Xiao-huan, Q. Dong, A. Gibali","doi":"10.23952/jano.2.2020.2.02","DOIUrl":"https://doi.org/10.23952/jano.2.2020.2.02","url":null,"abstract":"In this paper, we introduce some new iterative algorithms for finding fixed points of nonexpansive mappings with the aid of projection and contraction methods. Weak and strong convergence theorems are established under mild conditions in Hilbert spaces. The numerical examples are presented to illustrate the advantage of our proposed algorithms.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133755566","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.1.2019.2.08
Gayatri Pany, O. Chadli, R. Mohapatra, R. Mohapatra
In this paper, we study a class of mixed equilibrium problems under the extended generalized α–η monotonicity in finitely continuous topological spaces. Existence of solutions to the problems is established by relaxing the convexity structure and the linearity condition by using the relatively Knaster-Kuratowski-Mazurkiewicz principle. We also propose an iterative scheme based on auxiliary principle techniques. The results obtained in this paper improve and generalize some recent results in the framework of FC spaces under weaker conditions. They are useful to solve problems, where the domain and range of the underlying mappings lack the convexity structure.
{"title":"Generalized monotone mixed equilibrium problems in FC-spaces: Existence and approximation","authors":"Gayatri Pany, O. Chadli, R. Mohapatra, R. Mohapatra","doi":"10.23952/jano.1.2019.2.08","DOIUrl":"https://doi.org/10.23952/jano.1.2019.2.08","url":null,"abstract":"In this paper, we study a class of mixed equilibrium problems under the extended generalized α–η monotonicity in finitely continuous topological spaces. Existence of solutions to the problems is established by relaxing the convexity structure and the linearity condition by using the relatively Knaster-Kuratowski-Mazurkiewicz principle. We also propose an iterative scheme based on auxiliary principle techniques. The results obtained in this paper improve and generalize some recent results in the framework of FC spaces under weaker conditions. They are useful to solve problems, where the domain and range of the underlying mappings lack the convexity structure.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117246109","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.5.2023.1.01
{"title":"“International Conference on Variational Analysis and Nonsmooth Optimization” In honor of the 65th birthday of Christiane Tammer (Martin Luther University Halle-Wittenberg)","authors":"","doi":"10.23952/jano.5.2023.1.01","DOIUrl":"https://doi.org/10.23952/jano.5.2023.1.01","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117301070","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.4.2022.1.07
{"title":"Strategic decision in a two-period game using a multi-leader-follower approach. Part 2 – Decision making for the new player","authors":"","doi":"10.23952/jano.4.2022.1.07","DOIUrl":"https://doi.org/10.23952/jano.4.2022.1.07","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115402009","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}
Pub Date : 1900-01-01DOI: 10.23952/jano.5.2023.1.05
G. Eichfelder, T. Gerlach, Stefan Rockt ¨ASCHEL
In this paper, we study several classes of set-valued maps, which can be used in set-valued optimization and its applications, and their respective maximum and minimum value functions. The definitions of these maps are based on scalar-valued, vector-valued, and cone-valued maps. Moreover, we consider those extremal value functions which are obtained when optimizing linear functionals over the image sets of the set-valued maps. Such extremal value functions play an important role for instance for derivative concepts for set-valued maps or for algorithmic approaches in set-valued optimization. We formulate conditions under which the set-valued maps and their extremal value functions inherit properties like (Lipschitz-)continuity and convexity.
{"title":"Convexity and continuity of specific set-valued maps and their extremal value functions","authors":"G. Eichfelder, T. Gerlach, Stefan Rockt ¨ASCHEL","doi":"10.23952/jano.5.2023.1.05","DOIUrl":"https://doi.org/10.23952/jano.5.2023.1.05","url":null,"abstract":"In this paper, we study several classes of set-valued maps, which can be used in set-valued optimization and its applications, and their respective maximum and minimum value functions. The definitions of these maps are based on scalar-valued, vector-valued, and cone-valued maps. Moreover, we consider those extremal value functions which are obtained when optimizing linear functionals over the image sets of the set-valued maps. Such extremal value functions play an important role for instance for derivative concepts for set-valued maps or for algorithmic approaches in set-valued optimization. We formulate conditions under which the set-valued maps and their extremal value functions inherit properties like (Lipschitz-)continuity and convexity.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121125803","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}
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