http://www.hindawi.comThe latest articles from Hindawi Publishing Corporation© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/981983.htmlNonisothermal viscous two-fluid flows occur in numerous kinds of coating devices. The corresponding mathematical models often represent two-dimensional free boundary value problems for the Navier-Stokes equations or their modifications. In the present paper we are concerned with a particular problem of coupled heat and mass transfer. Marangoni convection is incorporated, too. The solvability of a corresponding stationary problem is discussed. The obtained results generalize previous results for a similar isothermal problem.Jürgen Socolowsky© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/506376.htmlThe retailer's optimal procurement quantity and the number of transfers from the warehouse to the display area are determined when demand is decreasing due to recession and items in inventory are subject to deterioration at a constant rate. The objective is to maximize the retailer's total profit per unit time. The algorithms are derived to find the optimal strategy by retailer. Numerical examples are given to illustrate the proposed model. It is observed that during recession when demand is decreasing, retailer should keep a check on transportation cost and ordering cost. The display units in the show room may attract the customer.Nita H. Shah and Kunal T. Shukla© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2010/343580.htmlM. H. Al-Abbadi and M. Darus (2009) recently introduced a new generalized derivative operator μλ1,λ2n,m, which generalized many well-known operators studied earlier by many different authors. In this present paper, we shall investigate a new subclass of analytic functions in the open unit disk U={z∈ℂ:|z|<1} which is defined by new generalized derivative operator. Some results on coefficient inequalities, growth and distortion theorems, closure theorems, and extreme points of analytic functions belonging to the subclass are obtained.Ma'moun Harayzeh Al-Abbadi and Maslina Darus© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/264150.htmlIn a free group no nontrivial commutator is a square. And in the free group F2=F(x1,x2) freely generated by x1,x2 the commutator [x1,x2] is never the product of two squares in F2, although it is always the product of three squares. Let F2,3=〈x1,x2〉 be a free nilpotent group of rank 2 and class 3 freely generated by x1,x2. We prove that in F2,3=〈x1,x2〉, it is possible to write certain commutators as a square. We denote by Sq(γ) the minimal number of squares which is required to write γ as a product of squares in group G. And we define Sq(G)=sup{Sq(γ);γ∈G′}. We discuss the question of when the square length of a given commutator of F2,3 is equal to 1 or 2 or 3. The precise formulas for expressing any commutator of F2,3 as the minimal number of squares are given. Finally as an application of these results we prove that Sq(F′2,3)=3.Mehri Akhavan-Malayeri© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2010/302583.htmlThe object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. Some consequences of the main results for well-known classes of meromorphic functions are also pointed out.J. Dziok© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/370390.htmlWe give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's ψ11-summation formula. We also obtain a generalization of Jacobi's triple product identity.Chandrashekar Adiga and P. S. Guruprasad© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/678987.htmlWe consider algebras with a single n-ary operation and a certain type of associativity. We prove that (up to isomorphism) there are exactly 5 of these associative mono-n-ary algebras with 2 elements for even n≥2 and 6 for odd n≥3. These algebras are described explicitly. It is shown that a similar result is impossible for algebras with at least 4 elements. An application concerning the assignment of a control bit to a string is given.Stephan Dominique Andres© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2010/382179.htmlAfter considering a variant of the generalized mean value inequality of quasinearly subharmonic functions, we consider certain invariance properties of quasinearly subharmonic functions. Kojić has shown that in the plane case both the class of quasinearly subharmonic functions and the class of regularly oscillating functions are invariant under conformal mappings. We give partial generalizations to her results by showing that in ℝn, n≥2, these both classes are invariant under bi-Lipschitz mappings.Oleksiy Dovgoshey and Juhani Riihentaus© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/471938.htmlA new class of cylindrically symmetric inhomogeneous cosmological models for perfect fluid distribution with electromagnetic field is obtained in the context of Lyra's geometry. We have obtained solutions by considering the time dependent displacement field. The source of the magnetic field is due to an electric current produced along the z-axis. Only F12 is a nonvanishing component of electromagnetic field tensor. To get the deterministic solution, it has been assumed that the expansion θ in the model is proportional to the shear σ. It has been found that the solutions are consistent with the recent observations of type Ia supernovae, and the displacement vector β(t) affects entropy. Physical and geometric aspects of the models are also discussed in presence and absence of magnetic field.Anirudh Pradhan and Padmini Yadav© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/656534.htmlWe prove a new strong convergence theorem for an element in the intersection of the set of common fixed points of a countable family of nonexpansive mappings, the set of solutions of some variational inequality problems, and the set of solutions of some equilibrium problems using a new iterative scheme. Our theorem generalizes and improves some recent results.Bashir Ali© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/101647.htmlWe consider the Riemann problem for the Hopf equation with concave-convex flux functions. Applying the weak asymptotics method we construct a uniform in time description for the Cauchy data evolution and show that the use of this method implies automatically the appearance of the Oleinik E-condition.Antonio Olivas Martinez and Georgy A. Omel'yanov© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/582181.htmlLet R be a prime ring of char R≠2, d a nonzero derivation of R and ρ a nonzero right ideal of R such that [[d(x),x]n,[y,d(y)]m]t=0 for all x,y∈ρ, where n≥0, m≥0, t≥1 are fixed integers. If [ρ,ρ]ρ≠0, then d(ρ)ρ=0.Basudeb Dhara© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/560264.htmlWe introduced a notion of topological vector space valued cone metric space and obtained some common fixed point results. Our results generalize some recent results in the literature.Ismat Beg, Akbar Azam, and Muhammad Arshad© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/671643.htmlThis paper investigates the monotonic limit properties for the minimal and maximal solutions of certain one-dimensional backward stochastic differential equations with continuous coefficients.ShengJun Fan, Xing Song, and Ming Ma© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/293539.htmlWe study one class of Ky Fan-type inequalities, which has ties with the original Ky Fan inequality. Our result extends the known ones.Peng Gao© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/474356.htmlWorking within a complete (not necessarily atomic) Boolean algebra, we use a sublattice to define a topology on that algebra. Our operators generalize complement on a lattice which in turn abstracts the set theoretic operator. Less restricted than those of Banaschewski and Samuel, the operators exhibit some surprising behaviors. We consider properties of such lattices and their interrelations. Many of these properties are abstractions and generalizations of topological spaces. The approach is similar to that of Bachman and Cohen. It is in the spirit of Alexandroff, Frolík, and Nöbeling, although the setting is more general. Proceeding in this manner, we can handle diverse topological theorems systematically before specializing to get as corollaries as the topological results of Alexandroff, Alo and Shapiro, Dykes, Frolík, and Ramsay.Eva Cogan© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/898195.htmlA new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function f(t) is continuous with (known) compact support. An adaptive iterative method and an adaptive stopping rule, which yield the convergence of the approximate solution to f(t), are proposed in this paper.Sapto W. Indratno and Alexander G. Ramm© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/468290.htmlWe extend the results in parts I–III on certain inequalities involving the weighted power means as well as the symmetric means. These inequalities can be largely viewed as concerning the bounds for ratios of differences of means and can be traced back to the work of Diananda.Peng Gao© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/865705.htmlTwo kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both representations are shown to be identical in all cases except the case of real rational numbers.Vichian Laohakosol, Tuangrat Chaichana, Jittinart Rattanamoong, and Narakorn Rompurk Kanasri© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/591382.htmlApplying well properties of homogeneous functions, some monotonicity results for the ratio of two-parameter symmetric homogeneous functions are presented, which give an easier access to find two-parameter symmetric homogeneous means having ratio simple monotonicity properties proposed by L. Losonczi. As an application, a chain of inequalities of ratio of bivariate means is established.Zhen-Hang Yang© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/749631.htmlWe expose a new procedure of quantization of fields, based on the Geometric Langlands Correspondence. Starting from fields in the target space, we first reduce them to the case of fields on one-complex-variable target space, at the same time increasing the possible symmetry group GL. Use the sigma model and momentum maps, we reduce the problem to a problem of quantization of trivial vector bundles with connection over the space dual to the Lie algebra of the symmetry group GL. After that we quantize the vector bundles with connection over the coadjoint orbits of the symmetry group GL. Use the electric-magnetic duality to pass to the Langlands dual Lie group G. Therefore, we have some affine Kac-Moody loop algebra of meromorphic functions with values in Lie algebra 𝔤 =Lie(G). Use the construction of Fock space reprsentations to have representations of such affine loop algebra. And finally, we have the automorphic representations of the corresponding Langlands-dual Lie groups G.Do Ngoc Diep© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/589830.htmlLet A be a bounded Hilbert algebra and S a ∨¯-closed subset of A. The Hilbert algebra of fractions AS is studied regarding maximal and irreducible deductive systems. As important results, we can mention a necessary and sufficient condition for a Hilbert algebra of fractions to be local and the characterization of this kind of algebras as inductive limits of some particular directed systems.Christina-Theresia Dan© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/219586.htmlAn existence result of a renormalized solution for a class of nonlinear elliptic equations is established. The diffusion functions a(x,u,∇u) may not be in (Lloc1(Ω))N for a finite value of the unknown and the data belong to L1(Ω).Hicham Redwane© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/349010.htmlThe so-called Prüfer υ-multiplication domains (PυMDs) are usually defined as domains whose finitely generated nonzero ideals are t-invertible. These domains generalize Prüfer domains and Krull domains. The PυMDs are relatively obscure compared to their very well-known special cases. One of the reasons could be that the study of PυMDs uses the jargon of star operations, such as the υ-operation and the t-operation. In this paper, we provide characterizations of and basic results on PυMDs and related notions without star operations.Marco Fontana and Muhammad Zafrullah© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/989603.htmlThe authors define a new subclass of 𝒜 of functions involving complex order in the open unit disk 𝕌. For this new class, we obtain certain inclusion properties involving the Gaussian hypergeometric functions.H. Silverman, Thomas Rosy, and S. Kavitha© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/615107.htmlLet E be a real Banach space, and K a closed convex nonempty subset of E. Let T1,T2,…,Tm:K→K be m total asymptotically nonexpansive mappings. A simple iterative sequence {xn}n≥1 is constructed in E and necessary and sufficient conditions for this sequence to converge to a common fixed point of {Ti}i=1m are given. Furthermore, in the case that E is a uniformly convex real Banach space, strong convergence of the sequence {xn}n=1∞ to a common fixed point of the family {Ti}i=1m is proved. Our recursion formula is much simpler and much more applicable than those recently announced by several authors for the same problem.C. E. Chidume and E. U. Ofoedu© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/685435.htmlWe apply the general theory of differential subordination to obtain certian interesting criteria for p-valent starlikeness and strong starlikeness. Some applications of these results are also discussed.T. N. Shanmugam and M. P. Jeyaraman© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/205649.htmlWe establish the rate of convergence for the modified Beta operators Bn(f,x), for functions having derivatives of bounded variation.Prerna Maheshwari (Sharma) and Vijay Gupta© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/590589.htmlStarting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (2006, 2008), in the book by Gal (2008), Open Problem 5.5.4, pages 324–326, the Bernstein max-prod-type operator is introduced and the question of the approximation order by this operator is raised. In recent paper, Bede and Gal by using a very complicated method to this open question an answer is given by obtaining an upper estimate of the approximation error of the form Cω1(f;1/n) (with an unexplicit absolute constant C>0) and the question of improving the order of approximation ω1(f;1/n) is raised. The first aim of this note is to obtain this order of approximation but by a simpler method, which in addition presents, at least, two advantages: it produces an explicit constant in front of ω1(f;1/n) and it can easily be extended to other max-prod operators of Bernstein type. However, for subclasses of functions f including, for example, that of concave functions, we find the order of approximation ω1(f;1/n), which for many functions f is essentially better than the order of approximation obtained by the linear Bernstein operators. Finally, some shape-preserving properties are obtained.Barnabás Bede, Lucian Coroianu, and Sorin G. Gal© 2010, Hindawi Publishing Corporation. All rights reserved.http://www.hindawi.com/journals/ijmms/2009/131068.htmlExistence of common fixed point for two mappings which satisfy a generalized weak contractive condition is established. As a consequence, a common fixed point result for mappings satisfying a contractive condition of integral type is obtained. Our results generalize, extend, and unify several well-known comparable results in literature.M. Abbas and M. Ali Khan© 2010, Hindawi Publishing Corporation. All rights reserved.