Pub Date : 1900-01-01DOI: 10.23952/jano.2.2020.1.08
A. Zaslavski
. In this paper, we study the asymptotic behavior of inexact infinite products of nonexpansive mappings, which take a nonempty, closed subset of a complete metric space into the space under the presence of summable errors, and generalize the known results in the literature for nonexpansive self-mappings on the complete metric space.
{"title":"Three extensions of Butnariu-Reich-Zaslavski theorem for inexact infinite products of nonexpansive mappings","authors":"A. Zaslavski","doi":"10.23952/jano.2.2020.1.08","DOIUrl":"https://doi.org/10.23952/jano.2.2020.1.08","url":null,"abstract":". In this paper, we study the asymptotic behavior of inexact infinite products of nonexpansive mappings, which take a nonempty, closed subset of a complete metric space into the space under the presence of summable errors, and generalize the known results in the literature for nonexpansive self-mappings on the complete metric space.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"22 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":"114724099","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.3.2021.3.02
{"title":"Phase retrieval with sub-Gaussian measurements via Riemannian optimization","authors":"","doi":"10.23952/jano.3.2021.3.02","DOIUrl":"https://doi.org/10.23952/jano.3.2021.3.02","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"56 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":"125094228","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.4.2022.3.07
{"title":"Inertial viscosity with alternative regularization for certain optimization and fixed point problems","authors":"","doi":"10.23952/jano.4.2022.3.07","DOIUrl":"https://doi.org/10.23952/jano.4.2022.3.07","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"647 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":"116091640","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.4.2022.1.08
{"title":"Optimality and duality for semidefinite multiobjective programming problems using convexificators","authors":"","doi":"10.23952/jano.4.2022.1.08","DOIUrl":"https://doi.org/10.23952/jano.4.2022.1.08","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"116 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":"127243433","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.2.2020.3.04
{"title":"The subgradient extragradient-type algorithms for solving a class of monotone variational inclusion problems","authors":"","doi":"10.23952/jano.2.2020.3.04","DOIUrl":"https://doi.org/10.23952/jano.2.2020.3.04","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":"126393078","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.1.2019.3.05
C. Gutiérrez, C. Gutiérrez
This paper concerns with Ekeland variational principles for vector bifunctions. It is assumed that the topological interior of the ordering cone in the final space of the bifunction is nonempty. The main results are stated by nonlinear scalarization through the well-known Gerstewitz functional, and involve a new lower-semicontinuity concept for vector functions and a generalization of the so-called triangle inequality property of a vector bifunction. Some recent Ekeland variational principles of the literature derived for a kind of Henig approximate solutions of vector equilibrium problems are improved as they are obtained by weaker assumptions.
{"title":"Ekeland variational principles for vector equilibrium problems with solid ordering cones","authors":"C. Gutiérrez, C. Gutiérrez","doi":"10.23952/jano.1.2019.3.05","DOIUrl":"https://doi.org/10.23952/jano.1.2019.3.05","url":null,"abstract":"This paper concerns with Ekeland variational principles for vector bifunctions. It is assumed that the topological interior of the ordering cone in the final space of the bifunction is nonempty. The main results are stated by nonlinear scalarization through the well-known Gerstewitz functional, and involve a new lower-semicontinuity concept for vector functions and a generalization of the so-called triangle inequality property of a vector bifunction. Some recent Ekeland variational principles of the literature derived for a kind of Henig approximate solutions of vector equilibrium problems are improved as they are obtained by weaker assumptions.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"26 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":"130478827","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.4.2022.2.04
{"title":"Parallel projection method for solving split equilibrium problems","authors":"","doi":"10.23952/jano.4.2022.2.04","DOIUrl":"https://doi.org/10.23952/jano.4.2022.2.04","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"7 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":"132900822","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.5.2023.1.10
{"title":"Lagrange duality of vector variational inequalities","authors":"","doi":"10.23952/jano.5.2023.1.10","DOIUrl":"https://doi.org/10.23952/jano.5.2023.1.10","url":null,"abstract":"","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"56 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":"133496915","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.1.2019.1.07
L. V. Nguyen, X. Qin
Weak sharp solutions of mixed variational inequalities are introduce and studied in Hilbert spaces. Several characterizations of weak sharpness of solutions of mixed variational inequalities without using gap functions are given. It is proved that sequences generated by an inexact proximal point algorithm terminate after a finite number of iterations for solutions of mixed variational inequalities provided that their solution sets are weakly sharp. Examples are also given to illustrate our results.
{"title":"Weak sharpness and finite convergence for mixed variational inequalities","authors":"L. V. Nguyen, X. Qin","doi":"10.23952/jano.1.2019.1.07","DOIUrl":"https://doi.org/10.23952/jano.1.2019.1.07","url":null,"abstract":"Weak sharp solutions of mixed variational inequalities are introduce and studied in Hilbert spaces. Several characterizations of weak sharpness of solutions of mixed variational inequalities without using gap functions are given. It is proved that sequences generated by an inexact proximal point algorithm terminate after a finite number of iterations for solutions of mixed variational inequalities provided that their solution sets are weakly sharp. Examples are also given to illustrate our results.","PeriodicalId":205734,"journal":{"name":"Journal of Applied and Numerical Optimization","volume":"203 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":"123043346","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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