It was recently shown that the alternating direction method with logarithmicquadratic proximal regularization can yield an efficient algorithm for a class of variational inequalities with separable structures. This paper further shows the O(1/t) convergence rate for this kind of algorithms. Both the cases with a simple or general Glowinski’s relaxation factor are discussed.

minkowski type inequalities for the seminormed fuzzy integrals on abstract spaces are studied in a rather general form. also related inequalities to minkowski type inequality for the seminormed fuzzy integrals on abstract spaces are studied. several examples are given to illustrate the validity of theorems. some results on chebyshev and minkowski type inequalities are obtained.

We study convergence and asymptotic zero distribution of sequences of rational functions with xed location of poles that approximate an analytic function in a multiply connected domain Although the study of zero distributions of polynomials has a long history analogous results for truncations of Laurent series have been obtained only recently by A Edrei We obtain extensions of Edrei s results f...

A simple interval method is suggested for globally solving optimization problems of the following type: minimize the objective function φo(x) subject to the functional constraints φo(x) ≤ 0, i=1,...r and the boundary constraints x∈ X(o) where x is a n-dimensional vector and X(o) is a given initial search region (a box). All the functions involved are assumed continuously differentiable in X(o)....

in this paper, some basic results concerning strict, nonstrict inequalities, local existence theorem and differential inequalities  have been proved for an ivp of first order hybrid  random differential equations with the linear perturbation of second type. a comparison theorem is proved and  applied to prove the uniqueness of random solution for the considered perturbed random differential equ...

‎this paper presents two main results that the singular values of the hadamard product of normal matrices $a_i$ are weakly log-majorized by the singular values of the hadamard product of $|a_{i}|$ and the singular values of the sum of normal matrices $a_i$ are weakly log-majorized by the singular values of the sum of $|a_{i}|$‎. ‎some applications to these inequalities are also given‎. ‎in addi...

Fej'{e}r  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r  Hadamard  inequalities for $k$-fractional integrals. We deduce Fej'{e}r  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.

introduction: inequalities in urban environment are a significant concern. socioeconomic level plays an important role in these inequalities. inequality in environmental hazards is recognized as potential determinants of health disparities. materials & methods: in this study, we used individual and cumulative environmental hazard inequality indices to compare the inequality among 379 neighborho...

The special affine Fourier transform (SAFT) is an extended version of the classical and incorporates various signal processing tools which include transforms, fractional transform, linear canonical other related transforms. This paper aims to introduce a novel octonion (O−SAFT) establish several classes uncertainty inequalities for proposed transform. We begin by studying norm split energy cons...

We introduce a new way of generating cutting planes of a mixed integer programme by way of taking binary variables. Four binary variables are introduced to form quartic inequalities, which results in a reduced first-level mixed integer programme. A new way of weakening the inequalities is presented. An algorithm to carryout the separation of the inequalities, which are exponential in number, is...