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In this article we introduce a new class of contraction maps, called A-contractions, which includes the contractions studied by R. Bianchini, M. S. Khan, S. Reich and T. Kannen. It is shown that the class of A-contractions is proper super class of Kannan’s and Khan’s contractions. Several results due to B. Ahmad, F. U. Rehman, Z. Chuanyi, N. Shioji et al.… (More)
In this paper a parallel algorithm is presented for the numerical solution of the heat equation with derivative boundary conditions. The parallel algorithm is developed by approximating the second-order spatial partial derivative by third-order finite-difference approximations and a matrix exponential function by a rational approximation having distinct… (More)
The authors have introduced a class of K-algebras in  and have further extended its scope of study in literature [2, 3, 4, 5]. In this paper, we introduce the notion of K-homomorphism of K-algebras, and investigate some of their properties and structure. Mathematics Subject Classification: 06F35
In this paper we show that the K-algebra (G, ·, , e) on an abelian group (G, ·) is equivalent to the p-semisimple BCI-algebra (G; , e). Mathematics Subject Classification: 06F35, 20A05.
We introduced a general class of contraction maps on a metric space, called Acontractions (that includes the contractions originally studied by R. Kannan, M. S. Khan at el, R. Bianchini, and S. Reich), and extended some common fixed point theorems on M. S. Khan’s contractions to general self maps of a metric space satisfying certain A-contraction type… (More)
More general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset is considered, and generalization of fuzzy fated of R0-algebras is discussed. The notion of an (∈,∈∨ qk)-fuzzy fated filter in a R0-algebra is introduced, and several properties are investigated. Characterizations of an (∈,∈∨ qk)-fuzzy fated filter in an R0-algebra are… (More)
In this paper, we introduce the notion of fuzzy associative I-ideals in an IS-algebra with respect to a t-conorm and investigate some of its properties. We discuss the properties of homomorphic image and inverse image of S-fuzzy associative I-ideals in an IS-algebras. Relationship between T -fuzzy associative I-ideals and S-fuzzy fuzzy associative Iideals… (More)
In this paper an O(h4+l4) L0-stable parallel algorithm is developed for the solution of the parabolic partial differential equation ut = uxx, 0 < x < 1, 0 < t ≤ T , subject to u(x, 0) = f(x), 0 < x < 1, ux(1, t) = g(t), 0 < t < T, and the specification of mass ∫ b 0 u(x, t)dx = m(t), 0 < b < 1.
In this paper, we introduce the notion of N -graphs and describe methods of their construction. We prove that the isomorphism between N -graphs is an equivalence relation (resp. partial order relation). We then introduce the concept of N -line graphs and discuss some of their fundamental properties.