{"title":"Bifurcation analysis for a discrete space-time model of logistic type","authors":"","doi":"10.23952/jnfa.2022.29","DOIUrl":"https://doi.org/10.23952/jnfa.2022.29","url":null,"abstract":"","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68778049","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":"Existence and stability of solutions for coupled fractional delay q-difference systems","authors":"","doi":"10.23952/jnfa.2022.20","DOIUrl":"https://doi.org/10.23952/jnfa.2022.20","url":null,"abstract":"","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68778284","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 a class of modified ( p , q ) -Gamma operators based on ( p , q ) -calculus that operators preserve not only constant functions but also linear functions. Then the moments of the operators are established and some local approximation theorems of these operators are discussed. Also, the rate of convergence and weighted approximation of these operators are studied by means of modulus of continuity. Furthermore, the Voronovskaya type asymptotic formula is investigated.
{"title":"The approximation properties of modified (p,q)-Gamma operators preserving linear functions","authors":"Jing Zhang, Wen-Tao Cheng, Feng-Lin Chen","doi":"10.23952/jnfa.2021.2","DOIUrl":"https://doi.org/10.23952/jnfa.2021.2","url":null,"abstract":". In this paper, we introduce a class of modified ( p , q ) -Gamma operators based on ( p , q ) -calculus that operators preserve not only constant functions but also linear functions. Then the moments of the operators are established and some local approximation theorems of these operators are discussed. Also, the rate of convergence and weighted approximation of these operators are studied by means of modulus of continuity. Furthermore, the Voronovskaya type asymptotic formula is investigated.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68777990","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 present the existence and uniqueness of solutions for a fractional integrodifferential equation involving both Riemann-Liouville and Caputo derivatives equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions. Our results are obtained by applying the modern methods of functional analysis. Examples are constructed for the illustration of our results.
{"title":"Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives","authors":"B. Ahmad, Y. Alruwaily, A. Alsaedi, S. Ntouyas","doi":"10.23952/jnfa.2021.11","DOIUrl":"https://doi.org/10.23952/jnfa.2021.11","url":null,"abstract":"In this paper, we present the existence and uniqueness of solutions for a fractional integrodifferential equation involving both Riemann-Liouville and Caputo derivatives equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions. Our results are obtained by applying the modern methods of functional analysis. Examples are constructed for the illustration of our results.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68777795","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}
. The existence of at least three weak solutions for a nonlinear elliptic Navier boundary value problem involving the p -triharmonic operator is investigated. The main tools used for obtaining our results are two critical points theorems established in [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 9 (2009), 3084-3089] and [G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functionals with a weak compactness condition, Appl. Anal. 89 (2010), 1-10].
{"title":"Three solutions for a nonlinear equation involving p-triharmonic operators","authors":"S. Shokooh, S. Shokooh","doi":"10.23952/jnfa.2021.9","DOIUrl":"https://doi.org/10.23952/jnfa.2021.9","url":null,"abstract":". The existence of at least three weak solutions for a nonlinear elliptic Navier boundary value problem involving the p -triharmonic operator is investigated. The main tools used for obtaining our results are two critical points theorems established in [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 9 (2009), 3084-3089] and [G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functionals with a weak compactness condition, Appl. Anal. 89 (2010), 1-10].","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68778100","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}
. A class of non-autonomous three species Lotka-Volterra cooperative system with ratio-dependent functional responses and delays is discussed. A set of easily verifiable new sufficient conditions on the permanence, the existence of positive periodic solutions, and the global attractivity of the system are established by using the comparison method, and the construction of Lyapunov functions. Finally, a numerical simulation is given to verify the effectiveness of the obtained results.
{"title":"On a three species ratio-dependent Lotka-Volterra cooperative system with delays","authors":"Gulibaikeremu Abulimiti, Ahmadjan Muhammadhaji, Rouzimaimaiti Mahemuti, Azhar Halik","doi":"10.23952/jnfa.2021.16","DOIUrl":"https://doi.org/10.23952/jnfa.2021.16","url":null,"abstract":". A class of non-autonomous three species Lotka-Volterra cooperative system with ratio-dependent functional responses and delays is discussed. A set of easily verifiable new sufficient conditions on the permanence, the existence of positive periodic solutions, and the global attractivity of the system are established by using the comparison method, and the construction of Lyapunov functions. Finally, a numerical simulation is given to verify the effectiveness of the obtained results.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68777893","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 explore the semi-infinite programming on smooth manifolds. We first discuss the optimality conditions for semi-infinite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems. Further, we present Lagrange, Mond-Weir, and Wolfe type duality for the semi-infinite programming on manifolds, and examine weak and strong duality relations under the ϕ − 1 -convexity assumption.
{"title":"Homeomorphic optimality conditions and duality for semi-infinite programming on smooth manifolds","authors":"Dang Hoang Tam","doi":"10.23952/jnfa.2021.18","DOIUrl":"https://doi.org/10.23952/jnfa.2021.18","url":null,"abstract":". In this paper, we explore the semi-infinite programming on smooth manifolds. We first discuss the optimality conditions for semi-infinite programming on smooth manifolds via homeomorphic optimality conditions for the associated problems. Further, we present Lagrange, Mond-Weir, and Wolfe type duality for the semi-infinite programming on manifolds, and examine weak and strong duality relations under the ϕ − 1 -convexity assumption.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68777963","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}
F. U. Ogbuisi, O. Iyiola, J. T. Ngnotchouye, T. Shumba
. In this paper, we study an inertial accelerated iterative algorithm with a self-adaptive stepsize for finding a common solution of an equilibrium problem involving a pseudomonotone bifunction and a fixed point problem of a quasi-nonexpansive mapping with a demiclosedness property in a real Hilbert space. The algorithm is based on the subgradient extragradient method and the inertial method and this algorithm does not require a prior knowledge of the Lipschitz type constants of the pseudomonotone bifunction. We establish a weak convergence theorem of the modified iterative method under some standard assumptions. We also give some numerical examples to demonstrate the efficiency and applicability of the new algorithm.
{"title":"On inertial type self-adaptive iterative algorithms for solving pseudomonotone equilibrium problems and fixed point problems","authors":"F. U. Ogbuisi, O. Iyiola, J. T. Ngnotchouye, T. Shumba","doi":"10.23952/jnfa.2021.4","DOIUrl":"https://doi.org/10.23952/jnfa.2021.4","url":null,"abstract":". In this paper, we study an inertial accelerated iterative algorithm with a self-adaptive stepsize for finding a common solution of an equilibrium problem involving a pseudomonotone bifunction and a fixed point problem of a quasi-nonexpansive mapping with a demiclosedness property in a real Hilbert space. The algorithm is based on the subgradient extragradient method and the inertial method and this algorithm does not require a prior knowledge of the Lipschitz type constants of the pseudomonotone bifunction. We establish a weak convergence theorem of the modified iterative method under some standard assumptions. We also give some numerical examples to demonstrate the efficiency and applicability of the new algorithm.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68778052","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 propose a new modification of Popov’s subgradient extragradient method for solving the variational inequality problem involving pseudo-monotone and Lipschitz-continuous mappings in the framework of Banach spaces. The weak convergence theorem of the proposed method is established without the knowledge of the Lipschitz constant of the Lipschitz continuous mapping. Finally, we provide several numerical experiments of the proposed method including comparisons with other related methods. Our result generalizes and extends many related results in the literature from Hilbert spaces to Banach spaces.
{"title":"A modified Popov’s subgradient extragradient method for variational inequalities in Banach spaces","authors":"P. Sunthrayuth, H. Rehman, P. Kumam","doi":"10.23952/jnfa.2021.7","DOIUrl":"https://doi.org/10.23952/jnfa.2021.7","url":null,"abstract":"In this paper, we propose a new modification of Popov’s subgradient extragradient method for solving the variational inequality problem involving pseudo-monotone and Lipschitz-continuous mappings in the framework of Banach spaces. The weak convergence theorem of the proposed method is established without the knowledge of the Lipschitz constant of the Lipschitz continuous mapping. Finally, we provide several numerical experiments of the proposed method including comparisons with other related methods. Our result generalizes and extends many related results in the literature from Hilbert spaces to Banach spaces.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68778081","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 prove the existence of entropy solutions for the obstacle problem associated with nonlinear degenerate anisotropic elliptic equations with L 1 -data. The functional framework involves anisotropic Sobolev spaces with variable exponents as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents. Our results are a natural generalization of some existing ones in the context of constant isotropic exponents.
{"title":"The obstacle problem for degenerate anisotropic elliptic equations with variable exponents and $L^1$-data","authors":"Hocine Ayadi, Hocine Ayadi","doi":"10.23952/jnfa.2021.14","DOIUrl":"https://doi.org/10.23952/jnfa.2021.14","url":null,"abstract":". In this paper, we prove the existence of entropy solutions for the obstacle problem associated with nonlinear degenerate anisotropic elliptic equations with L 1 -data. The functional framework involves anisotropic Sobolev spaces with variable exponents as well as weak Lebesgue (Marcinkiewicz) spaces with variable exponents. Our results are a natural generalization of some existing ones in the context of constant isotropic exponents.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":null,"pages":null},"PeriodicalIF":1.6,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68777870","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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