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COMMON FIXED POINT THEOREMS FOR TWO MAPPINGS IN S-METRIC SPACES
Javaheri Atena,Sedghi Shaban,Hyun Ho Geun 경남대학교 수학교육과 2019 Nonlinear Functional Analysis and Applications Vol.24 No.2
In this paper, we present some definitions of S-metric spaces and prove a common fixed point theorem for two mappings under the condition of weakly compatible mappings in complete S-metric spaces. Also we improved some fixed point theorems in complete S-metric spaces.
A COMMON FIXED POINT THEOREM IN AN M*-METRIC SPACE AND AN APPLICATION
Gharib M. Gharib,Abed Al-Rahman M. Malkawi,Ayat M. Rabaiah,Wasfi A. Shatanawi,Maha S. Alsauodi 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
In this paper, we introduce the concept of M*-metric spaces and how much the M*-metric and the b-metric spaces are related. Moreover, we introduce some ways of generating M*-metric spaces. Also, we investigate some types of convergence associated with M*-metric spaces. Some common fixed point for contraction and generalized contraction mappings in M*-metric spaces. Our work has been supported by many examples and an application.
HIGHER DERIVATIVE VERSIONS ON THEOREMS OF S. BERNSTEIN
Thangjam Birkramjit Singh,Khangembam Babina Devi,N. Reingachan,Robinson Soraisam,Barchand Chanam 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
In this paper, we first prove a result concerning the sth derivative where 1 ≤ s < n of the polynomial involving some of the co-efficients of the polynomial. Our result not only improves and generalizes the above inequality, but also gives a generalization to higher derivative of a result due to Dewan and Mir [2] in this direction. Further, a direct generalization of the above inequality for the sth derivative where 1 ≤ s < n is also proved.
Sheza M. El-Deeb,Gangadharan Murugusundaramoorthy,Alhanouf Alburaikan 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
In this paper, we introduce new subclasses of analytic and bi-univalent functions associated with the Mittag-Leffler-type Borel distribution by using the Legendre polynomi- als. Furthermore, we find estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3| for functions in these subclasses and obtain Fekete-Szegő problem for these subclasses. We also state certain new subclasses of Σ and initial coefficient estimates and Fekete-Szegő inequalities.
B-SPLINE TIGHT FRAMELETS FOR SOLVING INTEGRAL ALGEBRAIC EQUATIONS WITH WEAKLY SINGULAR KERNELS
Taqi A. M. Shatnawi,Wasfi Shatanawi 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
In this paper, we carried out a new numerical approach for solving integral algebraic equations with weakly singular kernels. The novel method is based on the construction of B-spline tight framelets using the unitary and oblique extension principles. Some numerical examples are given to provide further explanation and validation of our method. The result of this study introduces a new technique for solving weakly singular integral algebraic equation and thus in turn will contribute to providing new insight into approximation solutions for integral algebraic equation (IAE).
EQUATIONS OF MOTION FOR CRACKED BEAMS AND SHALLOW ARCHES
Semion Gutman,Junhong Ha,손수덕 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
Cracks in beams and shallow arches are modeled by massless rotational springs. First, we introduce a specially designed linear operator that “absorbs” the boundary conditions at the cracks. Then the equations of motion are derived from the first principles using the Extended Hamilton’s Principle, accounting for non-conservative forces. The variational formulation of the equations is stated in terms of the subdifferentials of the bending and axial potential energies. The equations are given in their abstract (weak), as well as in classical forms.
DECOMPOSITION FOR CARTAN’S SECOND CURVATURE TENSOR OF DIFFERENT ORDER IN FINSLER SPACES
Alaa A. Abdallah,A. A. Navlekar,Kirtiwant P. Ghadle,Ahmed A. Hamoud 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
The Cartan’s second curvature tensor P^i_{jkh} is a positively homogeneous of degree-1 in y^i, where yi represent a directional coordinate for the line element in Finsler space. In this paper, we discuss the decomposition of Cartan’s second curvature tensor P^i_{jkh} in two spaces, a generalized BP-recurrent space and generalized BP-birecurrent space. We obtain different tensors which satisfy the recurrence and birecurrence property under the decomposition. Also, we prove the decomposition for different tensors are non-vanishing. As an illustration of the applicability of the obtained results, we finish this work with some illustrative examples.
THE NONCOMMUTATIVE ₁− ₂ INEQUALITY FOR HILBERT C*-MODULES AND THE EXACT CONSTANT
K. Mahesh Krishna,P. Sam Johnson 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
We give an application for the integral of Kasparov. We also derive a formula for the exact constant for the continuous ₁− ₂ inequality.
Jong Kyu Kim,Manoj Kumar,Preeti Bhardwaj,Poonam,Won Hee Lim 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
In this article, we shall prove a common fixed point theorem for two weakly compatible self-maps P and Q on a dislocated metric space (M,d*) satisfying the following ξ-weakly expansive condition. Also, we have proved common fixed point theorems for the above mentioned weakly compatible self-maps along with E.A. property and (CLR) property. An illustrative example is also provided to support our results.
EXISTENCE AND MULTIPLICITY OF SOLUTIONS OF p(x)-TRIHARMONIC PROBLEM
Adnane Belakhdar,Hassan Belaouidel,Mohammed Filali,Najib Tsouli 경남대학교 수학교육과 2022 Nonlinear Functional Analysis and Applications Vol.27 No.2
We prove the existence and nonexistence of eigenvalues for p(x)-triharmonic problem with Navier boundary value conditions on a bounded domain in ℝ^N. Our technique is based on variational approaches and the theory of variable exponent Lebesgue spaces