# International Journal of Mathematics and Mathematical Sciences (Int J Math Math Sci)

## Journal description

IJMMS is a refereed, math journal devoted to publication of original research papers, research notes, and review articles, with emphasis on unsolved problems and open questions in Mathematics and Mathematical Sciences. All areas listed on the cover of Mathematical Reviews, such as Pure and Applied Mathematics, Mathematical Physics, Theoretical Mechanics, Probability and Mathematical Statistics, and Theoretical Biology, are included within the scope of the journal. Discontinued - now Journal of Medical Marketing.

## Current impact factor: 0.00

## Impact Factor Rankings

## Additional details

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Website | International Journal of Mathematics and Mathematical Sciences website |

Other titles | International journal of mathematics and mathematical sciences (Online), IJMMS |

ISSN | 0161-1712 |

OCLC | 48653835 |

Material type | Periodical, Internet resource |

Document type | Internet Resource, Journal / Magazine / Newspaper |

## Publisher details

Hindawi Publishing Corporation

- Pre-print
- Author can archive a pre-print version

- Post-print
- Author can archive a post-print version

- Conditions
- Publisher's version/PDF may be used
- Creative Commons Attribution License
- Eligible UK authors may deposit in OpenDepot
- All titles are open access journals

- Classificationgreen

## Publications in this journal

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**ABSTRACT:**This paper deals with some existence results of equilibrium problems ( E P Ψ ) on convex and closed sets (either bounded or unbounded) in Banach spaces. Moreover, an application to the existence of solution for a differential inclusion is given. - [Show abstract] [Hide abstract]

**ABSTRACT:**We consider maximum and minimum cut problems with nonnegative weights of edges. We define the graphs of the cone decompositions and find a linear clique number for the min-cut problem and a superpolynomial clique number for the max-cut problem. These values characterize the time complexity in a broad class of algorithms based on linear comparisons. - [Show abstract] [Hide abstract]

**ABSTRACT:**We introduce the notion of an ordered quasi-ideal of an ordered semiring and show that ordered quasi-ideals and ordered bi-ideals coincide in regular ordered semirings. Then we give characterizations of regular ordered semirings, regular ordered duo-semirings, and left (right) regular ordered semirings by their ordered quasi-ideals. - [Show abstract] [Hide abstract]

**ABSTRACT:**The homotopy of chain maps on preabelian categories is investigated and the equality of standard homologies and d -homologies of homotopic chain maps is established. As a special case, if X and Y are the same homotopy type, then their n th d -homology R -modules are isomorphic, and if X is a contractible space, then its n th d -homology R -modules for n ≠ 0 are trivial. - [Show abstract] [Hide abstract]

**ABSTRACT:**Elliptic curves have a wide variety of applications in computational number theory such as elliptic curve cryptography, pairing based cryptography, primality tests, and integer factorization. Mishra and Gupta (2008) have found an interesting property of the sets of elliptic curves in simplified Weierstrass form (or short Weierstrass form) over prime fields. The property is that one can induce metrics on the sets of elliptic curves in simplified Weierstrass form over prime fields of characteristic greater than three. Later, Vetro (2011) has found some other metrics on the sets of elliptic curves in simplified Weierstrass form over prime fields of characteristic greater than three. However, to our knowledge, no analogous result is known in the characteristic two case. In this paper, we will prove that one can induce metrics on the sets of nonsupersingular elliptic curves in simplified Weierstrass form over finite fields of characteristic two. - [Show abstract] [Hide abstract]

**ABSTRACT:**Let N be a near ring. An additive mapping F : N → N is said to be a generalized semiderivation on N if there exists a semiderivation d : N → N associated with a function g : N → N such that F ( x y ) = F ( x ) y + g ( x ) d ( y ) = d ( x ) g ( y ) + x F ( y ) and F ( g ( x ) ) = g ( F ( x ) ) for all x , y ∈ N . In this paper we prove that prime near rings satisfying identities involving semiderivations are commutative rings, thereby extending some known results on derivations, semiderivations, and generalized derivations. We also prove that there exist no nontrivial generalized semiderivations which act as a homomorphism or as an antihomomorphism on a 3-prime near ring N . - [Show abstract] [Hide abstract]

**ABSTRACT:**We define two forms of q -analogue of noncentral Stirling numbers of the second kind and obtain some properties parallel to those of noncentral Stirling numbers. Certain combinatorial interpretation is given for the second form of the q -analogue in the context of 0-1 tableaux which, consequently, yields certain additive identity and some convolution-type formulas. Finally, a q -analogue of noncentral Bell numbers is defined and its Hankel transform is established. - [Show abstract] [Hide abstract]

**ABSTRACT:**We locate the peak of the distribution of noncentral Stirling numbers of the first kind by determining the value of the index corresponding to the maximum value of the distribution. - [Show abstract] [Hide abstract]

**ABSTRACT:**Using notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds. - [Show abstract] [Hide abstract]

**ABSTRACT:**We give a representation formula for solution of the inhomogeneous Dirichlet problem on the upper half Korányi ball and for the slice of the Korányi ball in the Heisenberg group H n by obtaining explicit expressions of Green-like kernel when the given data has certain radial symmetry. - [Show abstract] [Hide abstract]

**ABSTRACT:**Given a pseudoresiduated lattice M and a lattice L, we introduce and characterize the fuzzy versions of different n-fold implicative (resp., obstinate, Boolean, normal, and extended involutive) filters of M. Moreover, we study some relationships between these different types of fuzzy n-fold filters. - [Show abstract] [Hide abstract]

**ABSTRACT:**We suggest a conjugate gradient (CG) method for solving symmetric systems of nonlinear equations without computing Jacobian and gradient via the special structure of the underlying function. This derivative-free feature of the proposed method gives it advantage to solve relatively large-scale problems (500,000 variables) with lower storage requirement compared to some existing methods. Under appropriate conditions, the global convergence of our method is reported. Numerical results on some benchmark test problems show that the proposed method is practically effective. - [Show abstract] [Hide abstract]

**ABSTRACT:**In this paper, the second order differential equation with a state derivative dependent delay of the form $a_2x"(z) + a_1x'(z) + a_0x(z) = x(p(z) + bx'(z)) + h(z)$ has been studied. Considering a convergent power series $g(z)$ of an auxiliary equation $a_2 \gamma^{2} g"(\gamma z) g'(z) = [g (\gamma^2 z) - p(g(\gamma z))] \gamma g'(\gamma z)(g' (z))^{2} + bh'(g(z))(g' (z))^{3} + \Big( a_2p"(g(z))+ a_1p'(g(z)) +a_0p(g(z))\Big) (g'(z))^{3} - a_1\gamma g'(\gamma z) (g' (z))^{2} - a_0g(\gamma z)(g'(z))^{3} + a_2\gamma g'(\gamma z)g"( z)$ with the relation $p(z) + bx'(z) = g(\gamma g^{-1}(z)),$ we obtain an analytic solution $x(z).$ Moreover, an analytic solution depends on a parameter $\gamma$ which satisfies one of the following conditions: $(H1) \ 0<|\gamma|<1,$ $(H2) \ \gamma = e^{2\pi i \theta }$ where $\theta$ is a Brjuno number or $(H3) \ \gamma = e^{2\pi i \theta }$ where $\theta$ is a rational number. - [Show abstract] [Hide abstract]

**ABSTRACT:**We have proved here that the expected number of real zeros of a random hyperbolic polynomial of the form y = P n t = n 1 a 1 cosh t + n 2 a 2 cosh 2 t + ⋯ + n n a n cosh n t , where a 1 , … , a n is a sequence of standard Gaussian random variables, is n / 2 + o p ( 1 ) . It is shown that the asymptotic value of expected number of times the polynomial crosses the level y = K is also n / 2 as long as K does not exceed 2 n e μ ( n ) , where μ ( n ) = o ( n ) . The number of oscillations of P n ( t ) about y = K will be less than n / 2 asymptotically only if K = 2 n e μ ( n ) , where μ ( n ) = O ( n ) or n - 1 μ ( n ) → ∞ . In the former case the number of oscillations continues to be a fraction of n and decreases with the increase in value of μ ( n ) . In the latter case, the number of oscillations reduces to o p ( n ) and almost no trace of the curve is expected to be present above the level y = K if μ ( n ) / ( n log n ) → ∞ . - [Show abstract] [Hide abstract]

**ABSTRACT:**We introduce a new sequence of q -integral operators. We show that it is a weighted approximation process in the polynomial space of continuous functions defined on unit interval. Weighted statistical approximation theorem, Korovkin type theorems for fuzzy continuous functions, and an estimate for the rate of convergence for these operators. -
##### Article: Vehicle Routing Problem for Multiple Product Types, Compartments, and Trips with Soft Time Windows

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**ABSTRACT:**This paper presents a mathematical model to solve the vehicle routing problem with soft time windows (VRPSTW) and distribution of products with multiple categories. In addition, we include multiple compartments and trips. Each compartment is dedicated to a single type of product. Each vehicle is allowed to have more than one trip, as long as it corresponds to the maximum distance allowed in a workday. Numerical results show the effectiveness of our model. - [Show abstract] [Hide abstract]

**ABSTRACT:**Let P ( n ) = F 2 [ x 1 , … , x n ] be the polynomial algebra in n variables x i , of degree one, over the field F 2 of two elements. The mod-2 Steenrod algebra A acts on P ( n ) according to well known rules. A major problem in algebraic topology is of determining A + P ( n ) , the image of the action of the positively graded part of A . We are interested in the related problem of determining a basis for the quotient vector space Q ( n ) = P ( n ) / A + P ( n ) . Q ( n ) has been explicitly calculated for n = 1,2 , 3,4 but problems remain for n ≥ 5 . Both P ( n ) = ⨁ d ≥ 0 P d ( n ) and Q ( n ) are graded, where P d ( n ) denotes the set of homogeneous polynomials of degree d . In this paper, we show that if u = x 1 m 1 ⋯ x n - 1 m n - 1 ∈ P d ′ ( n - 1 ) is an admissible monomial (i.e., u meets a criterion to be in a certain basis for Q ( n - 1 ) ), then, for any pair of integers ( j , λ ), 1 ≤ j ≤ n , and λ ≥ 0 , the monomial h j λ u = x 1 m 1 ⋯ x j - 1 m j - 1 x j 2 λ - 1 x j + 1 m j ⋯ x n m n - 1 ∈ P d ′ + ( 2 λ - 1 ) ( n ) is admissible. As an application we consider a few cases when n = 5 .

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