Pub Date : 2021-01-01DOI: 10.31392/mfat-npu26_4.2021.09
I. Kovalyov, E. Lebedeva, O. Stakhova
{"title":"α − regular indefinite Stieltjes moment problem and Darboux transformation","authors":"I. Kovalyov, E. Lebedeva, O. Stakhova","doi":"10.31392/mfat-npu26_4.2021.09","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.09","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69692800","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 : 2021-01-01DOI: 10.31392/mfat-npu26_1.2021.06
Sofiane Messirdi, Sanaa Messirdi, Bendjedid Sadli, B. Messirdi
{"title":"A New Representation of Left and Right Generalized Drazin Invertible Operators","authors":"Sofiane Messirdi, Sanaa Messirdi, Bendjedid Sadli, B. Messirdi","doi":"10.31392/mfat-npu26_1.2021.06","DOIUrl":"https://doi.org/10.31392/mfat-npu26_1.2021.06","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69691456","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 : 2020-12-28DOI: 10.31392/MFAT-NPU26_4.2020.07
A. A. Mebawondu, C. Izuchukwu, K. O. Oyewole, O. Mewomo
{"title":"On fixed point results for a class of generalized mean nonexpansive mappings","authors":"A. A. Mebawondu, C. Izuchukwu, K. O. Oyewole, O. Mewomo","doi":"10.31392/MFAT-NPU26_4.2020.07","DOIUrl":"https://doi.org/10.31392/MFAT-NPU26_4.2020.07","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44776586","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 : 2020-12-28DOI: 10.31392/MFAT-NPU26_4.2020.08
B. Bajracharya, P. Ojha
{"title":"A Glimpse on Birkhoff-James Orthogonality in Banach Spaces","authors":"B. Bajracharya, P. Ojha","doi":"10.31392/MFAT-NPU26_4.2020.08","DOIUrl":"https://doi.org/10.31392/MFAT-NPU26_4.2020.08","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":"1 1","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42151971","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 : 2020-12-28DOI: 10.31392/MFAT-NPU26_4.2020.04
Pranab Jyoti Dowari, B. Tripathy
{"title":"Lacunary difference sequences of complex uncertain \u0000 variables","authors":"Pranab Jyoti Dowari, B. Tripathy","doi":"10.31392/MFAT-NPU26_4.2020.04","DOIUrl":"https://doi.org/10.31392/MFAT-NPU26_4.2020.04","url":null,"abstract":"","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43542852","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 : 2020-12-28DOI: 10.31392/MFAT-NPU26_4.2020.03
M. Bouallala, E. Essoufi
Abstra t. We present a mathemati al model whi h des ribes the dynami fri tional onta t between a thermo-vis oelast body and a ondu tive foundation. The onta t is modeled using the normal omplian e ondition, the quasistati version of Coulomb's law of fry fri tion. We derive the weak formulation and we prove the existen e and uniqueness result. The proofs are based on the theory of rst-order and se ond-order evolution inequalities and Bana h xed point theorem. We introdu e a new problem on perturbation of the onta t boundary ondition and we establish its ontinuous dependen e result.
{"title":"Analysis results for dynamic contact problem with friction in thermo-viscoelasticity","authors":"M. Bouallala, E. Essoufi","doi":"10.31392/MFAT-NPU26_4.2020.03","DOIUrl":"https://doi.org/10.31392/MFAT-NPU26_4.2020.03","url":null,"abstract":"Abstra t. We present a mathemati al model whi h des ribes the dynami fri tional onta t between a thermo-vis oelast body and a ondu tive foundation. The onta t is modeled using the normal omplian e ondition, the quasistati version of Coulomb's law of fry fri tion. We derive the weak formulation and we prove the existen e and uniqueness result. The proofs are based on the theory of rst-order and se ond-order evolution inequalities and Bana h xed point theorem. We introdu e a new problem on perturbation of the onta t boundary ondition and we establish its ontinuous dependen e result.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47478366","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 : 2020-12-28DOI: 10.31392/MFAT-NPU26_4.2020.09
R. Savaş, R. Patterson
In the late 1950’s and early 1960’s Kurzweil and Henstock presented the concept of Gauge integral. Following their results, Savas and Patterson extended this concept to summability theory by considering f (psi ) real valued function which is integrable in the Gauge sense on (1,infty ). The goal of this paper includes the extension of these notion to statistical convergence. This will be accomplished by presenting the definition of statistically convergent to L via cardinality in Lebesgue sense. Natural implications and variations are also presented. В кiнцi 1950-х та на початку 1960-х рокiв Курцвайль i Хенсток сформулювали концепцiю калiбрувального iнтеграла. Савас i Паттерсон поширили це на теорiю пiдсумовування, розглянувши дiйснi функцiї f (psi ), iнтегровнi в калiбрувальному сенсi на (1,infty ). Метою цiєї роботи є поширення цього поняття на випадок статистичної збiжностi. Для цього дається визначення статистичної збiжностi за мiрою Лебега. Обговорюються наслiдки та можливi варiанти цього пiдходу.
{"title":"Generalization of Statistically Convergent","authors":"R. Savaş, R. Patterson","doi":"10.31392/MFAT-NPU26_4.2020.09","DOIUrl":"https://doi.org/10.31392/MFAT-NPU26_4.2020.09","url":null,"abstract":"In the late 1950’s and early 1960’s Kurzweil and Henstock presented the concept of Gauge integral. Following their results, Savas and Patterson extended this concept to summability theory by considering f (psi ) real valued function which is integrable in the Gauge sense on (1,infty ). The goal of this paper includes the extension of these notion to statistical convergence. This will be accomplished by presenting the definition of statistically convergent to L via cardinality in Lebesgue sense. Natural implications and variations are also presented. В кiнцi 1950-х та на початку 1960-х рокiв Курцвайль i Хенсток сформулювали концепцiю калiбрувального iнтеграла. Савас i Паттерсон поширили це на теорiю пiдсумовування, розглянувши дiйснi функцiї f (psi ), iнтегровнi в калiбрувальному сенсi на (1,infty ). Метою цiєї роботи є поширення цього поняття на випадок статистичної збiжностi. Для цього дається визначення статистичної збiжностi за мiрою Лебега. Обговорюються наслiдки та можливi варiанти цього пiдходу.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47393661","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 : 2020-12-23DOI: 10.31392/mfat-npu26_4.2021.01
T. Berger, H. Snoo, C. Trunk, H. Winkler
Abstract. Singular chain spaces for linear relations in linear spaces play a fundamental role in the decomposition of linear relations in finite-dimensional spaces. In this paper singular chains and singular chain spaces are discussed in detail for not necessarily finite-dimensional linear spaces. This leads to an identity characterizing a singular chain space in terms of root spaces. The so-called proper eigenvalues of a linear relation play an important role in the finite-dimensional case.
{"title":"Linear relations and their singular chains","authors":"T. Berger, H. Snoo, C. Trunk, H. Winkler","doi":"10.31392/mfat-npu26_4.2021.01","DOIUrl":"https://doi.org/10.31392/mfat-npu26_4.2021.01","url":null,"abstract":"Abstract. Singular chain spaces for linear relations in linear spaces play a fundamental role in the decomposition of linear relations in finite-dimensional spaces. In this paper singular chains and singular chain spaces are discussed in detail for not necessarily finite-dimensional linear spaces. This leads to an identity characterizing a singular chain space in terms of root spaces. The so-called proper eigenvalues of a linear relation play an important role in the finite-dimensional case.","PeriodicalId":44325,"journal":{"name":"Methods of Functional Analysis and Topology","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2020-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43593271","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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