{"title":"变分不等式的迭代算法及无Lipschitz假设的伪收缩不动点问题","authors":"","doi":"10.23952/jnfa.2023.4","DOIUrl":null,"url":null,"abstract":". In this paper, by coupling the modified extra-gradient method with the Mann iteration method, we solve variational inequalities and the fixed point problems of pseudo-contractive mappings without Lipschitz assumptions. Weak and strong convergence theorems are established.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":"47 1","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Iterative algorithms for variational inequalities and fixed point problems of pseudocontraction without Lipschitz assumptions\",\"authors\":\"\",\"doi\":\"10.23952/jnfa.2023.4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper, by coupling the modified extra-gradient method with the Mann iteration method, we solve variational inequalities and the fixed point problems of pseudo-contractive mappings without Lipschitz assumptions. Weak and strong convergence theorems are established.\",\"PeriodicalId\":44514,\"journal\":{\"name\":\"Journal of Nonlinear Functional Analysis\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nonlinear Functional Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/jnfa.2023.4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2023.4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Iterative algorithms for variational inequalities and fixed point problems of pseudocontraction without Lipschitz assumptions
. In this paper, by coupling the modified extra-gradient method with the Mann iteration method, we solve variational inequalities and the fixed point problems of pseudo-contractive mappings without Lipschitz assumptions. Weak and strong convergence theorems are established.
期刊介绍：
Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.
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