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The purpose of this paper is to establish convergence and stability of Jungck -modified three-step iterations for three nonself mappings in a Banach space. The results obtained in this paper extend and improve the recent ones announced by Khan et al., Olatinwo, Hussain et al. and many papers. [ABSTRACT FROM AUTHOR]

In this paper, we prove a new coincidence and common fixed point theorem of hybrid mappings using the C-class function and T-weak commutativity. Finally, we give an example to illustrate our result. [ABSTRACT FROM AUTHOR]

In this paper, we determine properties of the coefficients of the integral operator Gα1,α2,...,αn,β. We want to see if some results obtained on the interior unit disk can be extended on the exterior unit disk, so we make use of the usual transformation g(z) = .... [ABSTRACT FROM AUTHOR]

In this paper, we introduce and study a new class k - eUSs(a, c, μ, γ, t) of analytic functions in the open unit disc U with negative coefficients and obtain coefficient estimates, neighborhoods and partial sums for functions f belonging to this class. [ABSTRACT FROM AUTHOR]

In this paper we establish some natural consequences of the Wirtinger integral inequality. Applications related to the trapezoid unweighted and weighted inequalities, of Fej'er's inequality for convex functions and of Gr¨uss' type inequalities are also provided. [ABSTRACT FROM AUTHOR]

In this paper, we consider new subclasses TSn(μ, a, b, ℓ, τ, γ) and TRn(μ, a, b, ℓ, τ, γ) of analytic univalent functions defined by Erdelyi-Kober integral operator. We obtain coefficient inequalities, inclusion relationships involving the (n, δ)-neighborhoods, partial sums and integral mean inequalities for the functions that belongs to these classes. Also, subordinating factor sequence for the functions in the classes Sn(μ, a, b, ℓ, τ, γ) and Rn(μ, a, b, ℓ, τ, γ) are derived. [ABSTRACT FROM AUTHOR]

In this paper we introduce a new general integral operator for analytic functions in the open unit disk U and we obtain sufficient conditions for univalence of this integral operator. [ABSTRACT FROM AUTHOR]

In this paper we have introduced two new types of sets termed as I* -open sets and strongly I* -open sets and discussed some of its properties. The relation between similar types of sets, characterizations and some basic properties of such sets have been studied. [ABSTRACT FROM AUTHOR]

In the present paper we establish some theorems on the existence of common approximate fixed points for a pair of generalized contractive type mappings with the property that the diameter of the set of common e--fixed points is tending to zero as e tends to zero. [ABSTRACT FROM AUTHOR]

In this paper we obtain estimations of the errors in approximation by positive linear operators which fix certain functions. We use both the first and the second order classical moduli of smoothness and a generalized modulus of continuity of order two. Some applications involving Bernstein type operators, Kantorovich type operators and genuine Bernstein-Durrmeyer type operators are presented. [ABSTRACT FROM AUTHOR]

In this paper, is defined the operator Dλ,ν,nα,β : A → A, given by Dλ,ν,nα,β f(z) = (1 - α - β)RνDnf(z) + αRνΩλzf(z) + βDnΩλzf(z), for z ∈ U, where Rν is the Ruscheweyh derivative, Dn is the Sălăgean operator, Ωλz is a fractional differintegral operator introduced by S. Owa and H. M. Srivastava, A = {f ∈ H(U) : f(z) = z + a2z² + a3z³ + ..., z ∈ U}, α, β ≥ 0, ν > -1, n ∈ N0 = {0, 1, 2, 3, ...}, -∞ < λ < 2. A certain subclass of analytic functions in the open unit disk, Rλ,ν,nα,β (δ), where 0 ≤ δ ≤ 1, is introduced using the new operator. Are obtained some properties of the class Rλ,ν,nα,β (δ) and some differential subordinations using the operator Dλ,ν,nα,β. [ABSTRACT FROM AUTHOR]

In this paper we present a result on non-existence of global solutions to the nonlinear Cauchy problem for the higher-order hyperbolic equation utt - ∆|u|m + ∆²u - ∆ut = |u|p, x ∈ RN, t ∈ (0, T), 0 < T < +∞, with the initial conditions u(x, 0) = u0(x), ut(x, 0) = u1(x), x ∈ RN, where m ≥ 1, p > 1. The method used is the test function method which is based on a duality argument with an appropriate choice of the test function and a scaling argument. [ABSTRACT FROM AUTHOR]

In the present paper a new class of sets has been defined on a topological space. These sets have been named as extremal set. Properties of these extremal sets have been studied in terms of subsets, supersets, intersection and union of sets. It has been found that extremal sets and open sets are in general independent to each other. However in the presence of both the properties i.e. a set being both open and extremal, new characterizations of such sets arise. These characterstics have also been studied here. In support of these characteristics various examples have also been given. [ABSTRACT FROM AUTHOR]