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Showing papers in "Annals of the West University of Timisoara: Mathematics and Computer Science in 2016"


Journal ArticleDOI
TL;DR: In this article, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated by using Krasnoselskii's fixed point theorem on cones.
Abstract: In this paper, the existence of positive solutions for a nonlinear fourth-order two-point boundary value problem with integral condition is investigated. By using Krasnoselskii's fixed point theorem on cones, sufficient conditions for the existence of at least one positive solutions are obtained.

12 citations


Journal ArticleDOI
TL;DR: In this article, the authors consider the following problems: (1) which weakly Picard operators satisfy a retraction displacement condition? (2) For which weaker Picard operators the fixed point problem is well posed? (3) Weakly Picard Operators have Ostrowski property.
Abstract: Abstract In this paper we consider the following problems: (1) Which weakly Picard operators satisfy a retraction- displacement condition? (2) For which weakly Picard operators the fixed point problem is well posed? (3) Which weakly Picard operators have Ostrowski property? Some applications and open problems are also presented.

11 citations


Journal ArticleDOI
TL;DR: Perturbed companions of Ostrowski's inequality for absolutely continuous functions whose derivatives are Lipschitzian are given in this article, where the case of convex functions is also analyzed.
Abstract: Perturbed companions of Ostrowski’s inequality for absolutely continuous functions whose derivatives are Lipschitzian are given. The case of convex functions is also analyzed. Some applications are provided.

9 citations


Journal ArticleDOI
TL;DR: In this paper, the uniqueness of a non-constant polynomial with the differential monomial generated by a nonconstant mermorphic function f was investigated, taking a question in [1] into background.
Abstract: Abstract In this paper taking a question in [1] into background we investigate the uniqueness of a non-constant polynomial with the differential monomial generated by a non-constant mermorphic function f. Our result will also extend a result of Banerjee-Majumder [2] given earlier. An open question is also posed, in the paper, for future investigation.

8 citations


Journal ArticleDOI
TL;DR: In this paper, the authors studied P-Sasakian manifolds admitting a semi-symmetric non-metric connection whose concircular curvature tensor satisfies certain curvature conditions.
Abstract: Abstract The object of the present paper is to study P-Sasakian manifolds admitting a semi-symmetric non-metric connection whose concircular curvature tensor satisfies certain curvature conditions

6 citations


Journal ArticleDOI
TL;DR: In this paper, higher-order geodesic equations are obtained within classical differential geometrical settings, starting with an extended complex backward forward derivative operator in differential geometry which is motivated from non-local-in-time Lagrangian dynamics.
Abstract: Abstract Starting with an extended complex backwardforward derivative operator in differential geometry which is motivated from non-local-in-time Lagrangian dynamics, higher-order geodesic equations are obtained within classical differential geometrical settings. We limit our analysis up to the 2nd-order derivative where some applications are discussed and a number of features are revealed accordingly.

4 citations


Journal ArticleDOI
TL;DR: In this paper, the local convergence of the Ezquerro-hernandez iteration is investigated in the setting of finite dimensional spaces and a procedure to estimate the local local convergence radius for this iteration is proposed.
Abstract: Abstract Local convergence of Ezquerro-Hernandez iteration is investigated in the setting of finite dimensional spaces. A procedure to estimate the local convergence radius for this iteration is proposed. Numerical experiments show that our procedure gives estimates which are very close to the maximum convergence radii.

4 citations


Journal ArticleDOI
TL;DR: In this paper, the authors give some Čebyšev type norm inequalities for two Lipschitzian functions on Banach algebras, and some examples for power function, exponential and the resolvent functions are also provided.
Abstract: Abstract In this paper we give some Čebyšev type norm inequalities for two Lipschitzian functions on Banach algebras. Some examples for power function, exponential and the resolvent functions are also provided

3 citations


Journal ArticleDOI
TL;DR: The experimental results demonstrated the superiority of the proposed FSA-DE variant, which consisted in the randomization of the scaling factor, a more efficient Random Greedy Selection scheme, an adaptive scheme for the crossover probability and a resetting mechanism for the agents.
Abstract: Abstract The paper presents the experimental results of some tests conducted with the purpose to gradually and cumulatively improve the classical DE scheme in both efficiency and success rate. The modifications consisted in the randomization of the scaling factor (a simple jitter scheme), a more efficient Random Greedy Selection scheme, an adaptive scheme for the crossover probability and a resetting mechanism for the agents. After each modification step, experiments have been conducted on a set of 11 scalable, multimodal, continuous optimization functions in order to analyze the improvements and decide the new improvement direction. Finally, only the initial classical scheme and the constructed Fast Self-Adaptive DE (FSA-DE) variant were compared with the purpose of testing their performance degradation with the increase of the search space dimension. The experimental results demonstrated the superiority of the proposed FSA-DE variant.

3 citations


Journal ArticleDOI
TL;DR: In this article, it is proved (necessary and sufficient conditions for conditional exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential equations, which is a special case of the nonlinear solution of a nonlinear matrix differential equation.
Abstract: Abstract It is proved (necessary and) sufficient conditions for Ψ– conditional exponential asymptotic stability of the trivial solution of nonlinear Lyapunov matrix differential equations

3 citations


Journal ArticleDOI
TL;DR: In this article, the Ricci tensor for LP-Sasakian manifolds with ω(X, Y) · 𝒲 = L{(X ∧ ǫ √ Y) √ L{ (X √ √ lǫ l √ y) · l{(L √ n) l ∫ l à l l l ∪ l l  y · l _________________________________________________________________________  Â.
Abstract: Abstract Recently the present authors introduced the notion of generalized quasi-conformal curvature tensor which bridges Conformal curvature tensor, Concircular curvature tensor, Projective curvature tensor and Conharmonic curvature tensor. This paper attempts to charectrize LP-Sasakian manifolds with ω(X, Y) · 𝒲 = L{(X ∧ɡ Y) · 𝒲}. On the basis of this curvature conditions and by taking into account, the permutation of different curvature tensors we obtained and tabled the nature of the Ricci tensor for the respective pseudo symmetry type LP-Sasakian manifolds.

Journal ArticleDOI
TL;DR: In this paper, the authors study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space and extend the applicability of this method.
Abstract: Abstract In the present paper, we study the local convergence analysis of a fifth convergence order method considered by Sharma and Guha in [15] to solve equations in Banach space. Using our idea of restricted convergence domains we extend the applicability of this method. Numerical examples where earlier results cannot apply to solve equations but our results can apply are also given in this study.

Journal ArticleDOI
TL;DR: In this paper, a local convergence analysis of an 8-order method for approximating a locally unique solution of a non-linear equation is presented, and the radius of convergence and computable error bounds on the distances involved are given.
Abstract: Abstract We present a local convergence analysis of an eighth-order method for approximating a locally unique solution of a non-linear equation. Earlier studies such as have shown convergence of these methods under hypotheses up to the seventh derivative of the function although only the first derivative appears in the method. In this study, we expand the applicability of these methods using only hypotheses up to the first derivative of the function. This way the applicability of these methods is extended under weaker hypotheses. Moreover, the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study.

Journal ArticleDOI
TL;DR: In this article, the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and momorphic functions have been investigated.
Abstract: Abstract In this paper the comparative growth properties of composition of entire and meromorphic functions on the basis of their relative orders (relative lower orders), relative types and relative weak types of Wronskians generated by entire and meromorphic functions have been investigated.

Journal ArticleDOI
TL;DR: The main object of as discussed by the authors is to study Fekete-Szegö problem for a certain subclass of p - valent analytic functions, where the main object is to obtain the Feketa-szeglo inequality of several classes.
Abstract: Abstract The main object of this paper is to study Fekete-Szegö problem for a certain subclass of p - valent analytic functions. Fekete-Szegö inequality of several classes are obtained as special cases from our results. Applications of the result are also obtained on the class defined by convolution.

Journal ArticleDOI
TL;DR: In this article, a generalized translation operator was used to obtain an analog of Younis Theorem 5.2 in [6] for the Helgason Fourier transform of a set of functions satisfying the Dini Lipschitz condition in the space L 2 for functions on noncompact rank one Riemannian symmetric spaces.
Abstract: Abstract In this paper, using a generalized translation operator, we obtain an analog of Younis Theorem 5.2 in [6] for the Helgason Fourier transform of a set of functions satisfying the Dini Lipschitz condition in the space L2 for functions on noncompact rank one Riemannian symmetric spaces.

Journal ArticleDOI
TL;DR: In this paper, the authors deal with dual nonholonomic programs (what they mean and how they are solved?) when the non-holonomic constraints are given by Pfaff equations.
Abstract: Abstract This article deals with optimizing problems whose restrictions are nonholonomic. The central issue relates to dual nonholonomic programs (what they mean and how they are solved?) when the nonholonomic constraints are given by Pfaff equations. We emphasize that nonholonomic critical points are not the classical ones and that the nonholonomic Lagrange multipliers are not the classical (holonomic) Lagrange multipliers. Topological significance of Lagrange multipliers and dual function theory introduced by EDO and EDP are key results. Also new Riemannian geometries attached to a given nonholonomic constrained optimization problem are introduced. The original results are surprising and include: (i) aspects derived from the Vranceanu theory of nonholonomic manifolds, and from the geometric distributions theory, (ii) optimal problems in Darboux canonical coordinates.

Journal ArticleDOI
TL;DR: The paper proposes design principles for data representation and simplification in order to design cloud services for data exchange between various information systems and uses equivalence algorithms and canonical representation in the cloud database.
Abstract: Abstract The paper proposes design principles for data representation and simplification in order to design cloud services for data exchange between various information systems. We use equivalence algorithms and canonical representation in the cloud database. The solution we describe brings important advantages in organizational / entity communication and cooperation, with important societal benefits and can be provided within cloud architectures. The generic design principles we apply bring important advantages in the design of the interchange services.

Journal ArticleDOI
TL;DR: In this article, a local convergence analysis of inexact Gauss-Newton-like method (IGNLM) for solving nonlinear least-squares problems in a Euclidean space setting is presented.
Abstract: Abstract We present a local convergence analysis of inexact Gauss-Newton-like method (IGNLM) for solving nonlinear least-squares problems in a Euclidean space setting. The convergence analysis is based on our new idea of restricted convergence domains. Using this idea, we obtain a more precise information on the location of the iterates than in earlier studies leading to smaller majorizing functions. This way, our approach has the following advantages and under the same computational cost as in earlier studies: A large radius of convergence and more precise estimates on the distances involved to obtain a desired error tolerance. That is, we have a larger choice of initial points and fewer iterations are also needed to achieve the error tolerance. Special cases and numerical examples are also presented to show these advantages.

Journal ArticleDOI
TL;DR: First it is proved that any hyper MV -algebra that satisfies the semi negation property is a hyperlattice, and then with a computer program, it is shown that anyhyper MV - algebra of order less than 6, is ahyperlattices.
Abstract: Abstract Sh. Ghorbani, et al. [9], generalized the concept of MV -algebras and defined the notion of hyper MV -algebras. Now, in this paper, we try to prove that any hyper MV -algebra is a hyperlattice. First we prove that any hyper MV -algebra that satisfies the semi negation property is a hyperlattice. Then with a computer program, we show that any hyper MV -algebra of order less than 6, is a hyperlattice. Finally, we claim that this result is correct for any hyper MV -algebra.