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Certain Fixed Point Theorems and Application to the Fractal Space

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Communications in Mathematical Research 2015年第2期31卷 180-192页

作者： ji you-qing Ri Song-il School of Mathematics Jilin University Department of Mathematics University of Science

In this paper, we present some important generalizations of the Banach contraction principle, in which the Lipschitz constant k is replaced by some real- valued control function. For the applications to the fractal sp... 详细信息

关键词： fixed point generalized contraction Hausdorff distance fractal topo-logical equivalence

Holomorphic Curves into ■~N(C) That Share a Set of Moving Hypersurfaces

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Communications in Mathematical Research 2019年第2期35卷 97-105页

作者： Yang Liu ji you-qing(Communicated) School of Mathematics & Physics Science and Engineering Anhui University of Technology Maanshan Anhui 243032 不详

Let F be a family of holomorphic curves of a domain D in C into a closed subset X in ■~N(C). Let Q_1(z),…, Q_(2t+1)(z) be moving hypersurfaces in ■~N(C) located in pointwise t-subgeneral position with respect to X. If each pair of curves f and g in F share the set {Q_1(z),…, Q_(2t+1)(z)}, then F is normal on D. This result greatly extend some earlier theorems related to Montel's criterion.

关键词： Holomorphic mapping normal family value distribution theory complex projective space hypersuface

A Note on the Stability of K-g-frames

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Communications in Mathematical Research 2019年第4期35卷 345-353页

作者： XIANG ZHONG-QI ji you-qing College of Mathematics and Computer Science Shangrao Normal University

In this paper,we present a new stability theorem on the perturbation of K-g-frames by using operator theory *** result we obtained improves one corresponding conclusion of other authors.

关键词： g-frame K-g-frame frame operator stability

Additive Maps Preserving the Star Partial Order on B(H)

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Communications in Mathematical Research 2015年第1期31卷 89-96页

作者： Xi Cui ji Guo-xing ji you-qing College of Mathematics and Information Science Shaanxi Normal University

Let B（H） be the C^＊-algebra of all bounded linear operators on a complex Hilbert space H. It is proved that an additive surjective map φ on B（H） preserving the star partial order in both directions if and only if one of the following assertions holds. （1） There exist a nonzero complex number a and two unitary operators U and V on H such that φ（X） = a UXV or φ（X） = α UX^＊ V for all X ∈B（H）. （2） There exist a nonzero a and two anti-unitary operators U and V on H such that φ（X） = αUXV or φ（X） = aUX^＊ Vfor all X∈ B（H）.

关键词： linear operator star partial order additive map

λ-central BMO Estimates for Higher Order Commutators of Hardy Operators

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Communications in Mathematical Research 2014年第3期30卷 201-206页

作者： WU jiANG-LONG LIU qing-GUO ji you-qing Department of Mathematics Mudanjiang Normal University Laboratory for Multiphase Processes University of Nova Gorica

In this paper, the λ-central BMO estimates for higher order commuta-tors of Hardy operators on central Morrey space Lq,λ（Rn） are established. In the meanwhile, the corresponding corollary for central BMO estimates... 详细信息

关键词： λ-central BMO space commutator Hardy operator central Morrey space

Measures of Asymmetry Dual to Mean Minkowski Measures of Asymmetry for Convex Bodies

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Communications in Mathematical Research 2016年第3期32卷 207-216页

作者： yao dan guo qi ji you-qing department of mathematics suzhou university of science and technologySuzhouJiangsu215009 不详

Khovanov type homology is a generalization of Khovanov *** main result of this paper is to give a recursive formula for Khovanov type homology of pretzel knots P（-n,-m, m）. The computations reveal that the rank of the homology of pretzel knots is an invariant of n. The proof is based on a ＂shortcut＂ and two lemmas that recursively reduce the computational complexity of Khovanov type homology.

关键词： pretzel knot Khovanov type homology Frobenius algebra TQFT

On Properties of p-critical Points of Convex Bodies

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Communications in Mathematical Research 2015年第2期31卷 161-170页

作者： Huang Xing Guo Qi ji you-qing Department of Mathematics Suzhou University of Science and Technology

Properties of the p-measures of asymmetry and the corresponding affine equivariant p-critical points, defined recently by the second author, for convex bodies are discussed in this article. In particular, the continuity of p-critical points with respect to p on （1, ＋∞） is confirmed, and the connections between general p-critical points and the Minkowski-critical points （∞-critical points） are investigated. The behavior of p-critical points of convex bodies approximating a convex bodies is studied as well.

关键词： convex body p-critical point Minkowski measure of asymmetry p-measure of asymmetry

Hermite-Hadamard Type Inequalities for Operator h-preinvex Functions

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Communications in Mathematical Research 2019年第2期35卷 180-192页

作者： Lian Tie-yan Tang Wei ji you-qing College of Arts and Sciences Shaanxi University of Science and Technology Xi'an 710021 College of Electrical and Information Engineering Shaanxi University of Science and Technology Xi'an 710021 不详

Operator h-preinvex functions are introduced and a refinement of HermiteHadamard type inequalities for such functions is established. Results proved in this paper are more general and some known results are special ca... 详细信息

关键词： Hermite-Hadamard's integral inequality operator h-preinvex function operator beta-preinvex function

Coefficient Estimates for a Subclass of Bi-univalent Strongly Quasi-starlike Functions

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Communications in Mathematical Research 2018年第4期34卷 303-308页

作者： LI ZONG-TAO GUO DONG ji you-qing Department of Mathematics Teaching Guangzhou Civil Aviation CollegeGuangzhou510403 Foundation Department Chuzhou Vocational and Technical CollegeChuzhouAnhui239000 不详

The aim of this paper is to establish the Fekete-Szego inequality for a subclass of bi-univalent strongly quasi-starlike functions which is defined in the open unit disk. Furthermore, the coefficients a2 and a3 for fu... 详细信息

关键词： bi-univalent function bi-univalent strongly quasi-starlike function coefficient estimate subordination