. The paper is devoted to prove the existence of solutions for an infinite system of non-linear integral equations. This system is investigated in the WC -Banach algebra C ( I , c 0 ) , the space of all continuous functions acting from an interval I into the sequence space c 0 . Making use of the measure of weak noncompactness and the weak topology, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on WC -Banach algebra involving w -contractive operators.
{"title":"On the existence of solutions for an infinite system of integral equations","authors":"Bilel Mefteh","doi":"10.18514/mmn.2023.3148","DOIUrl":"https://doi.org/10.18514/mmn.2023.3148","url":null,"abstract":". The paper is devoted to prove the existence of solutions for an infinite system of non-linear integral equations. This system is investigated in the WC -Banach algebra C ( I , c 0 ) , the space of all continuous functions acting from an interval I into the sequence space c 0 . Making use of the measure of weak noncompactness and the weak topology, we establish some fixed point theorems for the sum and the product of nonlinear weakly sequentially continuous operators acting on WC -Banach algebra involving w -contractive operators.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135659534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this paper, we obtain a generalization of a fixed point theorem given by Popescu [O. Popescu, Comput. Math. Appl., vol. 62, no. 10, pp. 3912–3919, 2011]. An example is also given to support our main result.
{"title":"A fixed point theorem for generalized nonexpansive mappings","authors":"Alireza Amini-Harandi, Mahdi Goli, Hamid Reza Hajisharifi","doi":"10.18514/mmn.2023.4103","DOIUrl":"https://doi.org/10.18514/mmn.2023.4103","url":null,"abstract":". In this paper, we obtain a generalization of a fixed point theorem given by Popescu [O. Popescu, Comput. Math. Appl., vol. 62, no. 10, pp. 3912–3919, 2011]. An example is also given to support our main result.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this paper we give a classification of endomorphisms and additive mappings of a prime ring satisfying certain algebraic identities. Moreover, we provide an example proving that the primeness hypothesis imposed in our theorems is not superfluous.
{"title":"Additive mappings satisfying certain algebraic equations in prime rings","authors":"Hajar El Mir, Abdellah Mamouni, Lahcen Oukhtite","doi":"10.18514/mmn.2023.4095","DOIUrl":"https://doi.org/10.18514/mmn.2023.4095","url":null,"abstract":". In this paper we give a classification of endomorphisms and additive mappings of a prime ring satisfying certain algebraic identities. Moreover, we provide an example proving that the primeness hypothesis imposed in our theorems is not superfluous.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135659272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The statistically unbounded $p$-convergence is an abstraction of the statistical order, unbounded order, and $p$-convergences. We investigate the concept of the statistically unbounded convergence on lattice-normed Riesz spaces with respect to statistical p-decreasing sequences. Also, we get some relations between this concept and the other kinds of statistical convergences on Riesz spaces.
{"title":"Statistically unbounded p-convergence in lattice-normed Riesz spaces","authors":"Abdullah Aydın","doi":"10.18514/mmn.2023.4237","DOIUrl":"https://doi.org/10.18514/mmn.2023.4237","url":null,"abstract":"The statistically unbounded $p$-convergence is an abstraction of the statistical order, unbounded order, and $p$-convergences. We investigate the concept of the statistically unbounded convergence on lattice-normed Riesz spaces with respect to statistical p-decreasing sequences. Also, we get some relations between this concept and the other kinds of statistical convergences on Riesz spaces.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this paper, we introduce a new function class called n -fractional polynomial convex function and their some algebric properties. We obtain some refinements of the right-hand side of Hermite-Hadamard inequality for the class of functions whose derivatives in absolutely value at certain powers are n -fractional polynomial convex. Also, we compare the results obtained with both H¨older, H¨older-˙Is¸can inequalities and power-mean, improved-power-mean integral inequalities and show that the result obtained with H¨older-˙Is¸can and improved power-mean inequalities give better approach than the others. Some applications to special means of real numbers are also given.
{"title":"Construction of a new class of functions with their some properties and certain inequalities: n-fractional polynomial convex functions","authors":"İmdat İşcan","doi":"10.18514/mmn.2023.4142","DOIUrl":"https://doi.org/10.18514/mmn.2023.4142","url":null,"abstract":". In this paper, we introduce a new function class called n -fractional polynomial convex function and their some algebric properties. We obtain some refinements of the right-hand side of Hermite-Hadamard inequality for the class of functions whose derivatives in absolutely value at certain powers are n -fractional polynomial convex. Also, we compare the results obtained with both H¨older, H¨older-˙Is¸can inequalities and power-mean, improved-power-mean integral inequalities and show that the result obtained with H¨older-˙Is¸can and improved power-mean inequalities give better approach than the others. Some applications to special means of real numbers are also given.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we consider norm convergence for a special matrix-based de la Vall'ee Poussin-like mean of Fourier series for the Walsh system. We estimate the difference between the named mean above and the corresponding function in norm, and the upper estimation is given by the modulus of continuity of the function.
{"title":"Approximation by a special de la Vallée Poussin type matrix transform mean of Walsh-Fourier series","authors":"István Blahota","doi":"10.18514/mmn.2023.4249","DOIUrl":"https://doi.org/10.18514/mmn.2023.4249","url":null,"abstract":"In this paper, we consider norm convergence for a special matrix-based de la Vall'ee Poussin-like mean of Fourier series for the Walsh system. We estimate the difference between the named mean above and the corresponding function in norm, and the upper estimation is given by the modulus of continuity of the function.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135658934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Thanin Sitthiwirattham, Muhammad Aamir Ali, Asghar Ali, Hüseyin Budak
. This paper proves a new q -Hermite-Hadamard inequality for convex functions using quantum integrals. We also prove some new midpoint-type inequalities for q -differentiable convex functions. Moreover, we present some examples to illustrate our established results, supplemented with graphs.
{"title":"A new q-Hermite-Hadamard's inequality and estimates for midpoint type inequalities for convex functions","authors":"Thanin Sitthiwirattham, Muhammad Aamir Ali, Asghar Ali, Hüseyin Budak","doi":"10.18514/mmn.2023.4200","DOIUrl":"https://doi.org/10.18514/mmn.2023.4200","url":null,"abstract":". This paper proves a new q -Hermite-Hadamard inequality for convex functions using quantum integrals. We also prove some new midpoint-type inequalities for q -differentiable convex functions. Moreover, we present some examples to illustrate our established results, supplemented with graphs.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135659532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Milan Lj. Zlatanović, Miloš Z. Petrović, Miroslav D. Maksimović
. We study a projective semi-symmetric linear connection on a differentiable manifold M endowed with a Riemannian metric g . We start with linearly independent curvature tensors R θ , θ = 0 , 1 ,..., 5 and derive the tensors W θ for θ = 0 , 1 ,..., 5 that, as we show, coincide with the Weyl tensor of projective curvature W g . This confirms the well-known fact that there does not exist a generalization of the Weyl projective curvature tensor W g .
{"title":"Curvature properties of projective semi-symmetric linear connections","authors":"Milan Lj. Zlatanović, Miloš Z. Petrović, Miroslav D. Maksimović","doi":"10.18514/mmn.2023.4225","DOIUrl":"https://doi.org/10.18514/mmn.2023.4225","url":null,"abstract":". We study a projective semi-symmetric linear connection on a differentiable manifold M endowed with a Riemannian metric g . We start with linearly independent curvature tensors R θ , θ = 0 , 1 ,..., 5 and derive the tensors W θ for θ = 0 , 1 ,..., 5 that, as we show, coincide with the Weyl tensor of projective curvature W g . This confirms the well-known fact that there does not exist a generalization of the Weyl projective curvature tensor W g .","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660303","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Hiranmoy Garai, Pratikshan Mondal, Lakshmi Kanta Dey
. There are certain contractive conditions (and contractions) available in the literature that ensure the existence of common fixed points of a couple and a family of mappings. However, to verify the validity of these conditions, each result must be checked separately. Thus, it becomes legitimate to obtain some contraction or contractive conditions that can bypass the computational difficulties of checking contraction and contractive conditions via individual res-ults and ensure the existence of common fixed points simultaneously. In this article, by the virtue of implicit relations, we acquire some contraction and contractive conditions, christened A -contraction and A -contractive conditions, which serve the desired purpose. The utility of the established conditions is exhibited through some typical fixed point results and concrete examples.
{"title":"On Common fixed point results via implicit relations","authors":"Hiranmoy Garai, Pratikshan Mondal, Lakshmi Kanta Dey","doi":"10.18514/mmn.2023.4181","DOIUrl":"https://doi.org/10.18514/mmn.2023.4181","url":null,"abstract":". There are certain contractive conditions (and contractions) available in the literature that ensure the existence of common fixed points of a couple and a family of mappings. However, to verify the validity of these conditions, each result must be checked separately. Thus, it becomes legitimate to obtain some contraction or contractive conditions that can bypass the computational difficulties of checking contraction and contractive conditions via individual res-ults and ensure the existence of common fixed points simultaneously. In this article, by the virtue of implicit relations, we acquire some contraction and contractive conditions, christened A -contraction and A -contractive conditions, which serve the desired purpose. The utility of the established conditions is exhibited through some typical fixed point results and concrete examples.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
. In this research paper, we investigate some new identifies for Sarıkaya fractional integrals which introduced by Sarıkaya and Ertu˘gral in [20]. The fractional integral operators also have been applied to Hermite-Hadamard type integral inequalities to provide their generalized properties. Furthermore, as special cases of our main results, we present several known inequalities such as Simpson, Bullen, trapezoid for convex functions.
{"title":"New generalizations of some important inequalities for Sarikaya fractional integrals","authors":"Fatih Hezenci, Huseyin Budak","doi":"10.18514/mmn.2023.4184","DOIUrl":"https://doi.org/10.18514/mmn.2023.4184","url":null,"abstract":". In this research paper, we investigate some new identifies for Sarıkaya fractional integrals which introduced by Sarıkaya and Ertu˘gral in [20]. The fractional integral operators also have been applied to Hermite-Hadamard type integral inequalities to provide their generalized properties. Furthermore, as special cases of our main results, we present several known inequalities such as Simpson, Bullen, trapezoid for convex functions.","PeriodicalId":51252,"journal":{"name":"Miskolc Mathematical Notes","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135658932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：