Common fixed point theorems for fuzzy mappings
In this paper, we prove common fixed point theorems for fuzzy mappings satisfying a new inequality initiated by Constantin [6] in complete metric spaces.
Common fixed points of Greguš type multi-valued mappings
This work is considered as a continuation of [19,20,24]. The concepts of -compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a -type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension.
Iterative solution of nonlinear equations of the pseudo-monotone type in Banach spaces
The weak convergence of the iterative generated by , , to a coincidence point of the mappings is investigated, where is a real reflexive Banach space and its dual (assuming that is strictly convex). The basic assumptions are that is the duality mapping, is demiclosed at , coercive, potential and bounded and that there exists a non-negative real valued function such that Furthermore, the case when is a Hilbert space is given. An application of our results to...
Entropy solutions for parabolic equations in Musielak framework without sign condition and with measure data
We prove an existence result of entropy solutions for a class of strongly nonlinear parabolic problems in Musielak-Sobolev spaces, without using the sign condition on the nonlinearities and with measure data.
On the energy and spectral properties of the he matrix of hexagonal systems
The He matrix, put forward by He and He in 1989, is designed as a means for uniquely representing the structure of a hexagonal system (= benzenoid graph). Observing that the He matrix is just the adjacency matrix of a pertinently weighted inner dual of the respective hexagonal system, we establish a number of its spectral properties. Afterwards, we discuss the number of eigenvalues equal to zero of the He matrix of a hexagonal system. Moreover, we obtain a relation between the number of triangles...
On derived and integrated sets of basic sets of polynomials of several complex variables.
Extended results of the Hadamard product of simple sets of polynomials in hypersphere
In this paper we study some extended results of the Hadamard product set for several simple monic sets of polynomials of several complex variables in hyperspherical regions, then we obtain the effectiveness conditions for this Hadamard product in hyperspherical regions.
Abstract differential equations of arbitrary (fractional) orders
Approximation properties for modified -Bernstein-Durrmeyer operators
We introduce modified -Bernstein-Durrmeyer operators. We discuss approximation properties for these operators based on Korovkin type approximation theorem and compute the order of convergence using usual modulus of continuity. We also study the local approximation property of the sequence of positive linear operators and compute the rate of convergence for the function belonging to the class .
Shock models with NBUFR and NBAFR survivals.
The life distribution H(t) of a device subject to shocks governed by a Poisson process and pure birth process is considered as a function of probabilities P of not surviving the first k shocks. It is shown that some properties of a discrete distribution {P'} are reflected on properties of the continuous life distribution H(t). In particular, if P has the discrete NBUFR properties, then H(t) has the continuous NBUFR and NBAFR properties. The NBUFR and NBAFR life distributions are obtained under suitable...
New results on the NBUFR and NBUE classes of life distributions
Some properties of the "new better than used in failure rate" (NBUFR) and the "new better than used in expectation" (NBUE) classes of life distributions are given. These properties include moment inequalities and moment generating functions behaviors. In addition, nonparametric estimation and testing of the survival functions of these classes are discussed.
Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R
2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63 Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh x) { ( f(x) − f(−x) ) / 2 }, α ≥ β ≥ −1/2 , we define mean-periodic functions associated with Λα,β. We characterize these functions as an expansion series intervening appropriate elementary functions expressed in terms of the derivatives...
Weak solution for fractional order integral equations in reflexive Banach spaces
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