{"title":"Solution of Non-linear Fractional Burger's Type Equations Using The Laplace Transform Decomposition Method","authors":"Kadri Ilhem, M. Al Horani, R. Khalil","doi":"10.53006/rna.1053470","DOIUrl":"https://doi.org/10.53006/rna.1053470","url":null,"abstract":"","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71185759","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}
This paper presents a new iterative algorithm for approximating the invariant points of Suzuki’s generalized nonexpansive maps. Some strong convergence theorems are developed in the context of CAT(0) space. We also included examples to demonstrate the proposed algorithm’s convergence nature. Lastly, the stability of the said iterative algorithm is discussed to validate the results
{"title":"Some convergence results using a new iterative algorithm in CAT(0) space","authors":"Anju Panwar, Pinki Lamba, Santosh Kumar","doi":"10.53006/rna.1097678","DOIUrl":"https://doi.org/10.53006/rna.1097678","url":null,"abstract":"This paper presents a new iterative algorithm for approximating the invariant points of Suzuki’s generalized nonexpansive maps. Some strong convergence theorems are developed in the context of CAT(0) space. We also included examples to demonstrate the proposed algorithm’s convergence nature. Lastly, the stability of the said iterative algorithm is discussed to validate the results","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71186285","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":"Usage of numerical methods to solve nonlinear mixed Volterra-Fredholm integral equations and their system","authors":"Fawziah Al-Saar, K. Ghadle","doi":"10.53006/rna.988774","DOIUrl":"https://doi.org/10.53006/rna.988774","url":null,"abstract":"","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48335322","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":"Notes on judgment criteria of convex functions of several variables","authors":"Huan-Nan Shi, Pei Wang, Jian Zhang, Wei-Shih Du","doi":"10.53006/rna.986088","DOIUrl":"https://doi.org/10.53006/rna.986088","url":null,"abstract":"","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44743435","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}
We prove the existence and uniqueness of mild solutions for initial value problems of nonlinear hybrid rst order Caputo fractional integro-di erential equations. The main tool employed here is the Krasnoselskii and Banach xed point theorems. An example is also given to illustrate the main results. In addition, the case of the Higher order Caputo fractional integro-di erential equations is studied.
{"title":"Existence and uniqueness of mild solutions for nonlinear hybrid Caputo fractional integro-differential equations via fixed point theorems","authors":"Abderrahim Guerfi, A. Ardjouni","doi":"10.53006/rna.935737","DOIUrl":"https://doi.org/10.53006/rna.935737","url":null,"abstract":"We prove the existence and uniqueness of mild solutions for initial value problems of nonlinear hybrid rst order Caputo fractional integro-di erential equations. The main tool employed here is the Krasnoselskii and Banach xed point theorems. An example is also given to illustrate the main results. In addition, the case of the Higher order Caputo fractional integro-di erential equations is studied.","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48500561","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}
In this paper, we introduce an inertial parallel CQ subgradient extragradient method for (cid:28)nding a common solutions of variational inequality problems. The novelty of this paper is using linesearch methods to (cid:28)nd unknown L constant of L -Lipschitz continuous mappings. Strong convergence theorem has been proved under some suitable conditions in Hilbert spaces. Finally, we show applications to signal and image recovery, and show the good e(cid:30)ciency of our proposed algorithm when the number of subproblems is increasing
{"title":"An inertial parallel CQ subgradient extragradient method for variational inequalities application to signal-image recovery","authors":"Ponkamon Kitisak, W. Cholamjiak, D. Yambangwai","doi":"10.53006/rna.960559","DOIUrl":"https://doi.org/10.53006/rna.960559","url":null,"abstract":"In this paper, we introduce an inertial parallel CQ subgradient extragradient method for (cid:28)nding a common solutions of variational inequality problems. The novelty of this paper is using linesearch methods to (cid:28)nd unknown L constant of L -Lipschitz continuous mappings. Strong convergence theorem has been proved under some suitable conditions in Hilbert spaces. Finally, we show applications to signal and image recovery, and show the good e(cid:30)ciency of our proposed algorithm when the number of subproblems is increasing","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46410977","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":"Approximation of fixed points for Garcia-Falset mappings in a uniformly convex Banach space","authors":"Tanapat Chalarux, Khuanchanok Chaichana","doi":"10.53006/rna.960564","DOIUrl":"https://doi.org/10.53006/rna.960564","url":null,"abstract":"","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47045264","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":"Note on a Allen-Cahn equation with Caputo-Fabrizio derivative","authors":"N. Phuong","doi":"10.53006/rna.962068","DOIUrl":"https://doi.org/10.53006/rna.962068","url":null,"abstract":"","PeriodicalId":36205,"journal":{"name":"Results in Nonlinear Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49231909","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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