Showing papers in "Iranian Journal of Mathematical Sciences and Informatics in 2016"
TL;DR: In this paper, a new approach to the study of xed point theorems via simulation functions is presented, which extends and generalizes their results on a b-metric context, by giving a new notion of b-simulation function.
Abstract: In a recent paper, Khojasteh et al. (F. Khojasteh, S. Shukla, S. Radenovi c, A new approach to the study of xed point theorems via simulation functions, Filomat, 29 (2015), 1189-1194) presented a new class of simulation functions, say Z-contractions, with unifying power over known contractive conditions in the literature. Following this line of research, we extend and generalize their results on a b-metric context, by giving a new notion of b-simulation function. Then, we prove and discuss some xed point results in relation with existing ones.
22 citations
TL;DR: Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained in this paper, and applications for f -divergence measure are provided as well.
Abstract: Some new inequalities related to Jensen and Ostrowski inequalities for general Lebesgue integral are obtained. Applications for f -divergence measure are provided as well.
8 citations
TL;DR: In this article, a product Nystrom method for solving a Fredholm functional integral equation (FIE) of the second kind was presented. And the convergence of the method was investigated. But this method is not suitable for solving FIE of the first kind.
Abstract: In this work, we give a product Nystrom method for solving a Fredholm functional integral equation (FIE) of the second kind. With this method solving FIE reduce to solving an algebraic system of equations. Then we use some theorems to prove the existence and uniqueness of the system. Finally we investigate the convergence of the method.
6 citations
TL;DR: In this article, the main purpose of this paper is to obtain sucient condi- tions for existence of points of coincidence and common xed points for a pair of self mappings satisfying some expansive type conditions in b- metric spaces.
Abstract: The main purpose of this paper is to obtain sucient condi- tions for existence of points of coincidence and common xed points for a pair of self mappings satisfying some expansive type conditions in b- metric spaces. Finally, we investigate that the equivalence of one of these results in the context of cone b-metric spaces cannot be obtained by the techniques using scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
6 citations
TL;DR: In this paper, the authors consider an immersed orientable hypersurface f : M! R n+1 of the Euclidean space (f an immersion), and observe that the tan-gent bundle TM of the hypersuranface M is an immersed submanifold of the space R 2n+2.
Abstract: We consider an immersed orientable hypersurface f : M ! R n+1 of the Euclidean space (f an immersion), and observe that the tan- gent bundle TM of the hypersurface M is an immersed submanifold of the Euclidean space R 2n+2 . Then we show that in general the induced metric on TM is not a natural metric and obtain expressions for the horizontal and vertical lifts of the vector fields on M. We also study the special case in which the induced metric on TM becomes a natural metric and show that in this case the tangent bundle TM is trivial.
5 citations
TL;DR: In this article, Liu et al. proved the conjecture that the Harmonic index of a graph G is the sum of the weights 2 d(u + d(v) of all edges uv of G, where uv denotes the degree of the vertex u in G.
Abstract: The Harmonic index H(G) of a graph G is dened as the sum of the weights 2 d(u) + d(v) of all edges uv of G, where d(u) denotes the degree of the vertex u in G. In this work, we prove the conjecture H(G) D(G) 1 2 + 1 3(n 1) given by Jianxi Liu in 2013 when G is a unicyclic
5 citations
TL;DR: In this article, an implicit difference approximation by using the alternating directions implicit (ADI) approach to solve the two-dimensional space-time fractional diffusion equation (2DSTFDE) on a finite domain is presented.
Abstract: Fractional order diffusion equations are generalizations of classical diffusion equations which are used to model in physics, finance, engineering, etc. In this paper we present an implicit difference approximation by using the alternating directions implicit (ADI) approach to solve the two-dimensional space-time fractional diffusion equation (2DSTFDE) on a finite domain. Consistency, unconditional stability, and therefore first-order convergence of the method are proven. Some numerical examples with known exact solution are tested, and the behavior of the errors are analyzed to demonstrate the order of convergence of the method.
5 citations
TL;DR: In this article, a mathematical model for the study of interaction between tumor cells and oncolytic viruses is presented, where the model is analyzed using stability theory of differential equations.
Abstract: In this paper, we have analyzed a mathematical model for the study of interaction between tumor cells and oncolytic viruses. The model is analyzed using stability theory of differential equations. We gain some conditions for global stability of trivial and interior equilibrium point.
5 citations
3 citations
TL;DR: (α, β)−linear connected spaces for nonzero cardinal numbers α and β are introduced and it is shown that (α,β)− linear connectivity approach is a tool to classify the class of all linear connected spaces.
Abstract: In this paper we introduce (α, β)−linear connected spaces for nonzero cardinal numbers α and β. We show that (α, β)−linear connectivity approach is a tool to classify the class of all linear connected spaces.
3 citations
TL;DR: In this paper, the authors studied the double cosets of a Lie group by a compact Lie subgroup and showed that a Weil formula holds for double coset Lie hypergroups and that certain representations of the Lie group lift to representations of double coseto Lie hypergroup.
Abstract: We study the double cosets of a Lie group by a compact Lie subgroup. We show that a Weil formula holds for double coset Lie hypergroups and show that certain representations of the Lie group lift to representations of the double coset Lie hypergroup. We characterize smooth (analytic) vectors of these lifted representations.
TL;DR: In this paper, an explicit viscosity iterative algorithm for finding a common element in the set of solutions of the general equilibrium problem system (GEPS) and all common fixed points of two noncommuting nonexpansive self mappings in the real Hilbert space is proposed.
Abstract: We suggest an explicit viscosity iterative algorithm for find- ing a common element in the set of solutions of the general equilibrium problem system (GEPS) and the set of all common fixed points of two noncommuting nonexpansive self mappings in the real Hilbert space.
Journal Article•
TL;DR: For a homogeneous space G = H, this article showed that the convolution on L 1 (G=H) is the same as convolution over L 2 (K) where G is a semidirect product of a closed subgroup H and a normal subgroup K of G. They also proved that the Gelfand Raikov theorem holds if and only if H is normal.
Abstract: For a homogeneous spaces G=H, we show that the convo- lution on L 1 (G=H) is the same as convolution on L 1 (K), where G is semidirect product of a closed subgroup H and a normal subgroup K of G. Also we prove that there exists a one to one correspondence be- tween nondegenerat -representations of L 1 (G=H) and representations of G=H. We propose a relation between cyclic representations of L 1 (G=H) and positive type functions on G=H. We prove that the Gelfand Raikov theorem for G=H holds if and only if H is normal.
TL;DR: In this paper, the authors characterize Bergman spaces with respect to double integral of the functions jf(z)−f(w)j/jz−wj, jf((z,w))−f((w))j/�(z),w), whereandare the pseudo-hyperbolic and hyperbolic metrics.
Abstract: In this paper we characterize Bergman spaces with respect to double integral of the functions jf(z)−f(w)j/jz−wj, jf(z)−f(w)j/�(z,w) and jf(z) − f(w)j/�(z,w), whereandare the pseudo-hyperbolic and hyperbolic metrics. We prove some necessary and sufficient conditions that implies a function to be in Bergman spaces.
TL;DR: In this paper, the stability of one-sided perturbation to g-frame expansions was investigated, and it was shown that if a gframe of a Hilbert space H, a = ε + ε wherei 2 L (H,Hi), and e f = P i2J �? e � a f, then
Abstract: In this paper we investigate the stability of one-sided pertur- bation to g-frame expansions. We show that ifis a g-frame of a Hilbert space H, � a = �i + �i wherei 2 L (H,Hi), and e f = P i2J � ? e � a f,
TL;DR: The p-th factorial moments of the random variable Sn,1 which counts the number of subtrees size-1 profile (leaves) and shows a phase change of this random variable are obtained by solving a first order partial differential equation for the generating function correspond to this quantity.
Abstract: Kazemi (2014) introduced a new version of bucket recursive trees as another generalization of recursive trees where buckets have vari- able capacities. In this paper, we get the p-th factorial moments of the random variable Sn,1 which counts the number of subtrees size-1 profile (leaves) and shows a phase change of this random variable. These can be obtained by solving a first order partial differential equation for the generating function correspond to this quantity.