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An inertial extragradient algorithm for split problems in Hilbert spaces 希尔伯特空间中分裂问题的惯性外聚算法
Philosophic research and analysis Pub Date : 2023-01-10 DOI: 10.1515/anly-2022-1054
S. Husain, Mohd Asad
{"title":"An inertial extragradient algorithm for split problems in Hilbert spaces","authors":"S. Husain, Mohd Asad","doi":"10.1515/anly-2022-1054","DOIUrl":"https://doi.org/10.1515/anly-2022-1054","url":null,"abstract":"Abstract In this study, we propose an inertial extragradient algorithm for solving a split generalized equilibrium problem as well as a split feasibility and common fixed point problem. We demonstrate that, under certain reasonable assumptions, the sequences induced by the proposed algorithm converge strongly to a solution of the corresponding problem. In addition, with the help of a numerical example, we demonstrate the efficiency of proposed algorithm. As a result of this paper, some recent well-known results in this area have been improved, generalized, and extended.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"39 1","pages":"89 - 103"},"PeriodicalIF":0.0,"publicationDate":"2023-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80663020","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}
引用次数: 1
Consequences of Srinivasa Ramanujan integrals involving Meijer’s G-function 涉及Meijer g函数的Srinivasa Ramanujan积分的结果
Philosophic research and analysis Pub Date : 2023-01-10 DOI: 10.1515/anly-2022-1059
S. Dar, M. Kamarujjama, R. Paris, M. I. Qureshi
{"title":"Consequences of Srinivasa Ramanujan integrals involving Meijer’s G-function","authors":"S. Dar, M. Kamarujjama, R. Paris, M. I. Qureshi","doi":"10.1515/anly-2022-1059","DOIUrl":"https://doi.org/10.1515/anly-2022-1059","url":null,"abstract":"Abstract In this paper, we investigate and evaluate the analytical expressions for some definite integrals of Srinivasa Ramanujan in terms of Meijer’s G-function by using the Laplace transforms of sin ⁡ ( β ⁢ x 2 ) {sin(beta x^{2})} , cos ⁡ ( β ⁢ x 2 ) {cos(beta x^{2})} , x ⁢ sin ⁡ ( β ⁢ x 2 ) {xsin(beta x^{2})} and x ⁢ cos ⁡ ( β ⁢ x 2 ) {xcos(beta x^{2})} . In addition, we investigate a number of infinite summation formulas involving Meijer’s G-function and closed-form evaluation of some related infinite series.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"79 3","pages":"49 - 57"},"PeriodicalIF":0.0,"publicationDate":"2023-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72452881","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}
引用次数: 0
Small divisors effects in some singularly perturbed initial value problem with irregular singularity 一类具有不规则奇异点的奇异摄动初值问题的小因子效应
Philosophic research and analysis Pub Date : 2022-11-24 DOI: 10.1515/anly-2022-1077
S. Malek
{"title":"Small divisors effects in some singularly perturbed initial value problem with irregular singularity","authors":"S. Malek","doi":"10.1515/anly-2022-1077","DOIUrl":"https://doi.org/10.1515/anly-2022-1077","url":null,"abstract":"Abstract We examine a nonlinear initial value problem both singularly perturbed in a complex parameter and singular in complex time at the origin. The study undertaken in this paper is the continuation of a joined work with Lastra published in 2015. A change of balance between the leading and a critical subdominant term of the problem considered in our previous work is performed. It leads to a phenomenon of coalescing singularities to the origin in the Borel plane with respect to time for a finite set of holomorphic solutions constructed as Fourier series in space on horizontal complex strips. In comparison to our former study, an enlargement of the Gevrey order of the asymptotic expansion for these solutions relatively to the complex parameter is induced.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"94 1","pages":"149 - 191"},"PeriodicalIF":0.0,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80700493","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}
引用次数: 1
Following all the rules: intuitionistic completeness for generalized proof-theoretic validity 遵循所有规则:广义证明理论有效性的直觉完备性
Philosophic research and analysis Pub Date : 2022-11-22 DOI: 10.1093/analys/anac100
W. Stafford, Victor Nascimento
{"title":"Following all the rules: intuitionistic completeness for generalized proof-theoretic validity","authors":"W. Stafford, Victor Nascimento","doi":"10.1093/analys/anac100","DOIUrl":"https://doi.org/10.1093/analys/anac100","url":null,"abstract":"\u0000 Prawitz conjectured that the proof-theoretically valid logic is intuitionistic logic. Recent work on proof-theoretic validity has disproven this. In fact, it has been shown that proof-theoretic validity is not even closed under substitution. In this paper, we make a minor modification to the definition of proof-theoretic validity found in Prawitz’s 1973 paper ‘Towards a foundation of a general proof theory’ and refined by Schroeder-Heister in ‘Validity concepts in proof-theoretic semantics’ (2006 ). We will call the new notion generalized proof-theoretic validity and show that the logic of generalized proof-theoretic validity is intuitionistic logic.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"08 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87068051","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}
引用次数: 2
Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions 纯积分条件下高阶分数阶偏微分方程解的存在唯一性
Philosophic research and analysis Pub Date : 2022-10-26 DOI: 10.1515/anly-2021-0016
D. Chergui, A. Merad, S. Pinelas
{"title":"Existence and uniqueness of solutions to higher order fractional partial differential equations with purely integral conditions","authors":"D. Chergui, A. Merad, S. Pinelas","doi":"10.1515/anly-2021-0016","DOIUrl":"https://doi.org/10.1515/anly-2021-0016","url":null,"abstract":"Abstract In this paper, we prove the existence and uniqueness of Caputo time fractional pseudo-hyperbolic equations of higher order with purely nonlocal conditions of integral type. We use an a priori estimate method; the so-called energy inequalities method, based on some functional analysis tools, is developed for a Caputo time fractional of 2 ⁢ m {2m} -th and ( 2 ⁢ m + 1 ) {(2m+1)} -th order and the density of the range of the operator generated by the considered problem. Using the Laplace transform and homotopy perturbation, we find a semi-analytical solution. Finally, we give some examples for illustration.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"1 1","pages":"1 - 13"},"PeriodicalIF":0.0,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77274326","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}
引用次数: 1
Epistemic excuses and the feeling of certainty 认识论的借口和确定性的感觉
Philosophic research and analysis Pub Date : 2022-10-17 DOI: 10.1093/analys/anac038
J. Vollet
{"title":"Epistemic excuses and the feeling of certainty","authors":"J. Vollet","doi":"10.1093/analys/anac038","DOIUrl":"https://doi.org/10.1093/analys/anac038","url":null,"abstract":"\u0000 Gerken’s On Folk Epistemology, 2017). In this paper, I rely on independent work in epistemology and cognitive science to suggest a novel account of epistemic excuses in terms of epistemic feelings. In contrast to other existing accounts, this account is immune from the above objection and can thus be used to rescue the knowledge norm.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78831913","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}
引用次数: 3
Paternalism and presumed superiority 家长作风和自以为是的优越感
Philosophic research and analysis Pub Date : 2022-10-17 DOI: 10.1093/analys/anac047
C. Andreou
{"title":"Paternalism and presumed superiority","authors":"C. Andreou","doi":"10.1093/analys/anac047","DOIUrl":"https://doi.org/10.1093/analys/anac047","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90605731","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}
引用次数: 0
Do tiny contributions make a difference? Reply to Barnett 微小的贡献能带来改变吗?回复Barnett
Philosophic research and analysis Pub Date : 2022-10-08 DOI: 10.1093/analys/anac033
M. Montminy
{"title":"Do tiny contributions make a difference? Reply to Barnett","authors":"M. Montminy","doi":"10.1093/analys/anac033","DOIUrl":"https://doi.org/10.1093/analys/anac033","url":null,"abstract":"Barnett’s 2017 paper ‘No free lunch’, the answer is ‘yes’: even tiny contributions can make a morally relevant difference. To defend this answer, Barnett raises an objection against the rival view that tiny contributions never make any difference. I argue that we should reject both Barnett’s and the rival view. I propose an alternative account that reflects the vagueness at play in the outcome of tiny contributions and entails that, in a range of cases, it is indeterminate whether these contributions make any difference.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88944787","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}
引用次数: 0
Scepticism and Commonsense 怀疑主义与常识
Philosophic research and analysis Pub Date : 2022-10-01 DOI: 10.1093/analys/anac088
D. Pritchard
{"title":"Scepticism and Commonsense","authors":"D. Pritchard","doi":"10.1093/analys/anac088","DOIUrl":"https://doi.org/10.1093/analys/anac088","url":null,"abstract":"","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"90 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82083888","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}
引用次数: 0
Responding to How Things Seem: Bergmann on Scepticism and Intuition 回应事物的样子:伯格曼论怀疑主义和直觉
Philosophic research and analysis Pub Date : 2022-10-01 DOI: 10.1093/analys/anac085
Jennifer Nagel
{"title":"Responding to How Things Seem: Bergmann on Scepticism and Intuition","authors":"Jennifer Nagel","doi":"10.1093/analys/anac085","DOIUrl":"https://doi.org/10.1093/analys/anac085","url":null,"abstract":"Michael Bergmann’s important new book on skepticism is attractively systematic and thorough. He places familiar ideas under an exceptionally bright spotlight, exposing features we might not have noticed in casual survey. He draws out hidden consequences of his starting points with admirable courage, even when these consequences look like trouble for him. Before getting into this trouble, and some differences in how I would tackle it, I will begin by highlighting some ground we share.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73079066","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}
引用次数: 1
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