{"title":"A new approach to soft relations and soft functions","authors":"Adem Yolcu, Taha Yasin Ozturk, Sadi Bayramov","doi":"10.1007/s40314-024-02853-w","DOIUrl":"https://doi.org/10.1007/s40314-024-02853-w","url":null,"abstract":"<p>In this paper, a different approach is used to define a cartesian product on soft sets. This method processes both alternatives and parameters. The notion of the cartesian product is then used to define the idea of a soft relation. The concepts of reflexion, symmetry and transition are defined on the soft relation. Some properties are investigated. Also, the soft function notion is introduced. Various instances are provided as the key characteristics of the structures that are being presented are analyzed. Finally, an application is presented by building a decision making algorithm on the soft relation.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"80 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737802","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":"Legendre transform dual-asymptotic solution for optimal investment, consumption and life insurance strategy under the HLSV model","authors":"Jianyu Huo, Qing Zhou","doi":"10.1007/s40314-024-02844-x","DOIUrl":"https://doi.org/10.1007/s40314-024-02844-x","url":null,"abstract":"<p>We investigate the optimal decisions on investment, consumption and purchasing life insurance of a household with two consecutive generations, say parents and children. Parents can invest in risk-free and risky assets, with the risky asset’s price driven by the Heston local-stochastic volatility model, better reflecting market conditions. Life insurance can be purchased to hedge against wealth loss from parents’ unexpected death before retirement, especially if children have no income. Meanwhile, utility functions of the parents and children are individually considered in relation to the uncertain lifetime. The objective of the household is to appropriately maximize the weighted average of the respective utilities of parents and children. In order to derive the optimal strategies, we adopt a dual method, Legendre transformation, and an asymptotic expansion technique to solve the associated Hamilton–Jacobi–Bellman equation achieved by a dynamic programming approach. Finally, an asymptotic solution is obtained and numerical examples are provided to illustrate the impacts of some important parameters on the optimal strategies.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"61 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737801","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":"Alternative algebraic perturbation expressions for the core-EP inverse of a matrix","authors":"Jun Ji","doi":"10.1007/s40314-024-02841-0","DOIUrl":"https://doi.org/10.1007/s40314-024-02841-0","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"5 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141641077","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":"Migrativity of extended binary operations on fuzzy truth values","authors":"Minghui Xu, Chenhui Zhu, Wei Li, Bin Yang","doi":"10.1007/s40314-024-02638-1","DOIUrl":"https://doi.org/10.1007/s40314-024-02638-1","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"44 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141644967","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":"Approximating fixed point results for pseudo-contractive map and some remarks on demi-contractive map in the Banach space","authors":"Tanmoy Som, Jayanta Sarkar, Dhananjay Gopal","doi":"10.1007/s40314-024-02850-z","DOIUrl":"https://doi.org/10.1007/s40314-024-02850-z","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"28 5","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141645356","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 numerical approach to fuzzy partial differential equations with interactive fuzzy values: application to the heat equation","authors":"Vinícius Francisco Wasques","doi":"10.1007/s40314-024-02852-x","DOIUrl":"https://doi.org/10.1007/s40314-024-02852-x","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"32 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141646785","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":"Belief and plausible divergence measures: a novel approach to multicriteria decision making with modified CODAS","authors":"R. Hussain, Zahid Hussain","doi":"10.1007/s40314-024-02781-9","DOIUrl":"https://doi.org/10.1007/s40314-024-02781-9","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"31 3","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141647610","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}
Oluwatosin Temitope Mewomo, Victor Amarachi Uzor, Aviv Gibali
{"title":"A strongly convergent algorithm for solving split equality problems beyond monotonicity","authors":"Oluwatosin Temitope Mewomo, Victor Amarachi Uzor, Aviv Gibali","doi":"10.1007/s40314-024-02829-w","DOIUrl":"https://doi.org/10.1007/s40314-024-02829-w","url":null,"abstract":"<p>In this paper, we focus on some split inverse problems, namely the split equality variational inequalities and common fixed point problems, and combine various operator theory techniques to establish minimum-norm strong convergence for our proposed method. We present two strong convergent results with (and without) reference to the monotonicity property of the cost operators. Our convergence analyses assume very mild conditions and thus generalize and extend recent related results in the literature. Furthermore, several numerical examples illustrate the practical potentials and advantages of our proposed algorithm.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"55 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141610923","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}
Yuan Bao, Sibo Yang, Zhaoliang Meng, Chaobin Liu, Zhongxuan Luo
{"title":"A second-order convergent nonconforming polynomial stokes element on quadrilateral meshes","authors":"Yuan Bao, Sibo Yang, Zhaoliang Meng, Chaobin Liu, Zhongxuan Luo","doi":"10.1007/s40314-024-02842-z","DOIUrl":"https://doi.org/10.1007/s40314-024-02842-z","url":null,"abstract":"<p>In this paper, we construct a new mixed finite element for the Stokes problem on general convex quadrilateral partitions. The velocity is approximated by piecewise polynomial element space, and the pressure is approximated by piecewise constant. Moreover, we assert that the discrete velocity is second-order convergent in discrete <span>(H^{1})</span> seminorm, and the convergence order of the pressure solution can be improved to second by a post-processing for Stokes problems. Lastly, numerical tests verify the convergence analysis.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"7 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141610924","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}