Pub Date : 2024-03-15DOI: 10.24193/subbmath.2024.1.10
Renu Badsiwal, Sudesh Kumari, Renu Chugh
In this paper, we study the q-deformed logistic map in Mann orbit (superior orbit) which is a two-step fixed-point iterative algorithm. The main aim of this paper is to investigate the whole dynamical behavior of the proposed map through various techniques such as fixed-point and stability approach, time-series analysis, bifurcation plot, Lyapunov exponent and cobweb diagram. We notice that the chaotic behavior of q-deformed logistic map can be controlled by choosing control parameters carefully. The convergence and stability range of the map can be increased substantially. Moreover, with the help of bifurcation diagrams, we prove that the stability performance of this map is larger than that of existing other one dimensional chaotic maps. This map may have better applications than that of classical logistic map in various situations as its stability performance is larger. Mathematics Subject Classification (2010): 34H10, 37M10, 37B25, 37F45. Received 09 April 2021; Accepted 08 October 2021
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Pub Date : 2024-03-15DOI: 10.24193/subbmath.2024.1.05
R. S. Badar, K. Noor
In this article, we define a generalized q-integral operator on multivalent functions. It generalizes many known linear operators in Geometric Function Theory (GFT). Inclusions results, convolution properties and q-Bernardi integral preservation of the subclasses of analytic functions are discussed. Mathematics Subject Classification (2010): 30C45, 30C80, 30H05. Received 29 March 2021; Accepted 26 July 2021
{"title":"Generalized q-Srivastava-Attiya operator on multivalent functions","authors":"R. S. Badar, K. Noor","doi":"10.24193/subbmath.2024.1.05","DOIUrl":"https://doi.org/10.24193/subbmath.2024.1.05","url":null,"abstract":"In this article, we define a generalized q-integral operator on multivalent functions. It generalizes many known linear operators in Geometric Function Theory (GFT). Inclusions results, convolution properties and q-Bernardi integral preservation of the subclasses of analytic functions are discussed.\u0000Mathematics Subject Classification (2010): 30C45, 30C80, 30H05.\u0000Received 29 March 2021; Accepted 26 July 2021","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":" 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140391720","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 : 2024-03-15DOI: 10.24193/subbmath.2024.1.11
Abdelaziz Limam, B. Benabderrahmane, Y. Boukhatem
This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary. The semigroup theory is used to show the well-posedness and regularity of the initial and boundary value problem. Moreover, we investigate exponential stability of the system taking into account Gearhart-Prüss’s theorem. Mathematics Subject Classification (2010): 35A01, 74B05, 93D15. Received 11 June 2021; Accepted 13 October 2021
{"title":"On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions","authors":"Abdelaziz Limam, B. Benabderrahmane, Y. Boukhatem","doi":"10.24193/subbmath.2024.1.11","DOIUrl":"https://doi.org/10.24193/subbmath.2024.1.11","url":null,"abstract":"This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary. The semigroup theory is used to show the well-posedness and regularity of the initial and boundary value problem. Moreover, we investigate exponential stability of the system taking into account Gearhart-Prüss’s theorem.\u0000Mathematics Subject Classification (2010): 35A01, 74B05, 93D15.\u0000Received 11 June 2021; Accepted 13 October 2021","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":" 107","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140392209","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 : 2024-03-15DOI: 10.24193/subbmath.2024.1.07
Bahia Temar, O. Saifi, S. Djebali
This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions. Multiple solutions are proved under slight conditions on a possibly degenerating source term. Approximation techniques together with the fixed-point index theory a on cone of a Banach space are employed. Some illustrating examples of are also supplied. Mathematics Subject Classification (2010): 34A08, 34B15, 34B18, 47H10. Received 27 July; Accepted 13 December 2021
{"title":"On singular φ−Laplacian BVPs of nonlinear fractional differential equation","authors":"Bahia Temar, O. Saifi, S. Djebali","doi":"10.24193/subbmath.2024.1.07","DOIUrl":"https://doi.org/10.24193/subbmath.2024.1.07","url":null,"abstract":"This paper investigates the existence of multiple positive solutions for a class of φ−Laplacian boundary value problem with a nonlinear fractional differential equation and fractional boundary conditions. Multiple solutions are proved under slight conditions on a possibly degenerating source term. Approximation techniques together with the fixed-point index theory a on cone of a Banach space are employed. Some illustrating examples of are also supplied.\u0000Mathematics Subject Classification (2010): 34A08, 34B15, 34B18, 47H10. \u0000Received 27 July; Accepted 13 December 2021","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":"16 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140283982","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 : 2024-03-15DOI: 10.24193/subbmath.2024.1.12
O. Oyewole, Mebawondu Akindele Adebayo, O. Mewomo
In this paper, we propose an iterative algorithm for approximating a common solution of a variational inequality and fixed-point problem. The algorithm combines the subgradient extragradient technique, inertial method and a modified viscosity approach. Using this algorithm, we state and prove a strong convergence algorithm for obtaining a common solution of a pseudomonotone variational inequality problem and fixed-point of an η-demimetric mapping in a real Hilbert space. We give an application of this result to some theoretical optimization problems. Furthermore, we report some numerical examples to show the efficiency of our method by comparing it with previous methods in the literature. Our result extends, improves and unifies many other results in this direction in the literature. Mathematics Subject Classification (2010): 47H09, 49J35, 90C47. Received 21 May 2021; Accepted 14 July 2021
{"title":"A strong convergence algorithm for approximating a common solution of variational inequality and fixed point problems in real Hilbert space","authors":"O. Oyewole, Mebawondu Akindele Adebayo, O. Mewomo","doi":"10.24193/subbmath.2024.1.12","DOIUrl":"https://doi.org/10.24193/subbmath.2024.1.12","url":null,"abstract":"In this paper, we propose an iterative algorithm for approximating a common solution of a variational inequality and fixed-point problem. The algorithm combines the subgradient extragradient technique, inertial method and a modified viscosity approach. Using this algorithm, we state and prove a strong convergence algorithm for obtaining a common solution of a pseudomonotone variational inequality problem and fixed-point of an η-demimetric mapping in a real Hilbert space. We give an application of this result to some theoretical optimization problems. Furthermore, we report some numerical examples to show the efficiency of our method by comparing it with previous methods in the literature. Our result extends, improves and unifies many other results in this direction in the literature.\u0000Mathematics Subject Classification (2010): 47H09, 49J35, 90C47.\u0000Received 21 May 2021; Accepted 14 July 2021","PeriodicalId":517948,"journal":{"name":"Studia Universitatis Babes-Bolyai Matematica","volume":"65 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140283947","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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