A Product Formula for the Twisted Lefschetz Zeta Function

ＡＰｒｏｄｕｃｔＦｏｒｍｕｌａｆｏｒｔｈｅＴｗｉｓｔｅｄＬｅｆｓｃｈｅｔｚＺｅｔａＦｕｎｃｔｉｏｎＨｕａｎｇＢａｏｊｕｎ（黄保军）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｕａｉｂｅｉＣｏａｌＭｉｎｉｎｇＴｅａｃｈｅｒｓＣｏｌｅｇｅ，Ｈｕａ...     

M-N Fuzzy Number Space and properties

Ｍ－ＮＦｕｚｚｙＮｕｍｂｅｒＳｐａｃｅａｎｄＰｒｏｐｅｒｔｉｅｓＭ－ＮＦｕｚｚｙＮｕｍｂｅｒＳｐａｃｅａｎｄＰｒｏｐｅｒｔｉｅｓ￥／／ＸｕＸｉａｏＧｕａｎｇ；ＬｕＦｅｎｇ（ＢａｓｉｃＢｒａｎｃｈ，ＣｈａｎｇｃｈｕｎＴａｘ（ＤｅｐａｒｔｍｅｎｔｏｆＭａ...     

Complex Lagrangian Manifolds and Resurgent Functions

ＣｏｍｐｌｅｘＬａｇｒａｎｇｉａｎＭａｎｉｆｏｌｄｓａｎｄＲｅｓｕｒｇｅｎｔＦｕｎｃｔｉｏｎｓ￥ＦｒéｄéｒｉｃＰＨＡＭ（ＮｉｃｅＵｎｉｖｅｒｓｉｔｙ，Ｆｒａｎｃｅ）Ｔｈｅａｂｏｖｅｑｕｏｔｅｄｐａｐｅｒｄｅａｌｓｗｉｔｈｔｒａｎｓａｓｙｍｐｔｏｔｉ...     

On Unique Range Sets for Meromorphic Functions

ＯｎＵｎｉｑｕｅＲａｎｇｅＳｅｔｓｆｏｒＭｅｒｏｍｏｒｐｈｉｃＦｕｎｃｔｉｏｎｓＦａｎｇＭｉｎｇｌｉａｎｇ（方明亮）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｎｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｊｉｎｇ，Ｊｉａｎｇｓｕ，２...     

On the Matrix Equations of Higher Degrees

１　ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄｎｏｔａｔｉｏｎｓＦｏｌｌｏｗｉｎｇＲｅｆｅｒｅｎｃｅ［１］ｗｅｕｓｅＭｎ（Ｆ）ｆｏｒｎ－ｂｙ－ｎｍａｔｒｉｃｅｓｗｉｔｈｅｎｔｒｉｅｓｆｒｏｍＦ,ｓｐｅｃｉａｌ－ｌｙＭｎｆｏｒＭｎ（Ｃ）,ＡｆｏｒｔｈｅＨｅｒｍｉｔｉａｎａｄｊｏｉｎｔｏｆＡ,ｉ．ｅ．（Ａ）Ｔ,ｗｈｅｒｅＡｉｓｔｈｅｅｎｔｒｙｗｉｓｅｃｏｎｊｕｇａｔｅｏｆＡ,ａｎｄＡＴ,ｔｈｅｔｒａｎｓｐｏｓｅｏｆＡ;ＡＢｆｏｒｔｈｅｄｉｒｅｃｔｓｕｍｏｆｍａｔｒｉｃｅｓＡａｎｄＢ．ＬｅｔＸ∈Ｍｎｂｅｔ…     

Kuranishi Families and Moduli Spaces for Hopf Surfaces

ＫｕｒａｎｉｓｈｉＦａｍｉｌｉｅｓａｎｄＭｏｄｕｌｉＳｐａｃｅｓｆｏｒＨｏｐｆＳｕｒｆａｃｅｓＬｉＱｉｎｇｚｈｏｎｇ（李庆忠）ＺｈａｎｇＪｉｎｈａｏ（张锦豪）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓｏｆＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎ...     

On Minimal Surfaces in Space Forms Whose Gauss Imageshave Constant Curvature

ＯｎＭｉｎｉｍａｌＳｕｒｆａｃｅｓｉｎＳｐａｃｅＦｏｒｍｓＷｈｏｓｅＧａｕｓｓＩｍａｇｅｓｈａｖｅＣｏｎｓｔａｎｔＣｕｒｖａｔｕｒｅ￥ＭａｋｏｔｏＳＡＫＡＫＩ（ＤｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＦａｃｕｌｔｙｏｆＳｃｉｅｎｃｅ，Ｈｉｒｏｓ...     

Jordan Canonical Form of a Matrix over the Quaternion Field

ＪｏｒｄａｎＣａｎｏｎｉｃａｌＦｏｒｍｏｆａＭａｔｒｉｘｏｖｅｒｔｈｅＱｕａｔｅｒｎｉｏｎＦｉｅｌｄＨｕａｎｇＬｉｐｉｎｇ（黄礼平）（ＤｅｐａｒｔｍｅｎｔｏｆＢａｓｉｃＳｃｉｅｎｃｅｓ，ＸｉａｎｇｔａｎＭｉｎｉｎｇＩｎｓｔｉｔｕｔｅ，Ｘｉａｎｇｔａｎ...     

The Convergence Theorems for Conormed－Seminormed Fuzzy Integralto⊥－decomposable Fuzzy Measure

ＴｈｅＣｏｎｖｅｒｇｅｎｃｅＴｈｅｏｒｅｍｓｆｏｒＣｏｎｏｒｍｅｄ－ＳｅｍｉｎｏｒｍｅｄＦｕｚｚｙＩｎｔｅｇｒａｌｔｏ⊥－ｄｅｃｏｍｐｏｓａｂｌｅＦｕｚｚｙＭｅａｓｕｒｅＬｉｕＸｕｅｃｈｅｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，Ｈｅｂｅ...     

AN EFFECTIVE IMPROVEMENT OF REMES ALGORITHM

ＡＮＥＦＦＥＣＴＩＶＥＩＭＰＲＯＶＥＭＥＮＴＯＦＲＥＭＥＳＡＬＧＯＲＩＴＨＭＸｉｏｎｇｇｕｉｊｉｎｇ；（熊规景）Ｘｉｅｓｉｑｉｎｇ（谢四清）（Ｉｎｓｔ．ｏｆＭａｔｈ．Ｓｃｉ．，ＣｈｉｎｅｓｅＡｃａｄｅｍｙｏｆＳｃｉｅｎｃｅｓ，４３００７１Ｗｕｈａｎ，...     

A Fixed Point Theorem for Multi-valued Composite Increasing Operators in Partially Ordered Spaces

DefinitionlLl]I,etXbeaHausdorffTopologicalspacewhichhaspartiallyorderedstructure.WesayXisasemiorderedTopologicalSpace,ifforanytwonets{x.Ir6T}and{YrlrET}inX,x,相似文献   

An extension of the Jacobi algorithm for multi-valued mixed complementarity problems

We consider a generalized mixed complementarity problem (MCP) with box constraints and multi-valued cost mapping. We introduce a concept of an upper Z-mapping, which generalizes the well-known concept of the single-valued Z-mapping and involves the diagonal multi-valued mappings, and suggest an extension of the Jacobi algorithm for the above problem containing a composition of such mappings. Being based on its convergence theorem, we establish several existence and uniqueness results. Some examples of the applications are also given.     

Brouwer-Schauder-Tychonoff不动点定理的进一步推广

最近,Wu和Yuan将Brouwer-Schauder-Tychonoff不动点定理推广到H-空间.本文首先建立一个逼近选择定理,然后使用这个结果建立一个新的不动点定理,很大地改进和推广了Wu和Yuan的结果.     

Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type

We prove a common fixed point theorem of Gregus type for four mappings satisfying a contractive condition of integral type in metric spaces using the concept of weak compatibility which generalizes Theorem 2 of [A. Djoudi, L. Nisse, Gregus type fixed points for weakly compatible mappings, Bull. Belg. Math. Soc. 10 (2003) 369-378] and other papers. We prove also common fixed point theorems of Gregus type using a strict contractive condition of integral type, a property (E.A) and a common property (E.A) introduced by [M. Aamri, D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl. 270 (2002) 181-188] and [W. Liu, J. Wu, Z. Li, Common fixed points of single-valued and multi-valued maps, Int. J. Math. Math. Sci. 19 (2005) 3045-3055], respectively.     

集值映象的向量变分不等式和相补问题

研究了一类集值映象的广义向量变分不等式和相补问题 ,证明了解的一些存在性定理 .推广和改进了文 [1 ,4 6 ]的相关研究成果 .     

Common fixed point theorem for cyclic generalized multi-valued contraction mappings

In this paper, we extend a multi-valued contraction mapping to a cyclic multi-valued contraction mapping. We also establish the existence of common fixed point theorem for a cyclic multi-valued contraction mapping. Our results extend, generalize and unify Nadler’s multi-valued contraction mapping and many fixed point theorems for multi-valued mappings.     

关于上半连续性和Kakutani不动点定理

本文给出了集值映象的弱上半连续而非准上半连续的例子,证明了对于闭凸的集值映象弱上半连续和准上半连续等价,并把Kakutani不动点定理推广到非闭凸的弱上半连续的情形.     

Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces

In this paper, we prove a strong convergence theorem by the hybrid method for a family of nonexpansive mappings which generalizes Nakajo and Takahashi's theorems [K. Nakajo, W. Takahashi, Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372-379], simultaneously. Furthermore, we obtain another strong convergence theorem for the family of nonexpansive mappings by a hybrid method which is different from Nakajo and Takahashi. Using this theorem, we get some new results for a single nonexpansive mapping or a family of nonexpansive mappings in a Hilbert space.     

An integral type fixed point theorem for multi-valued mappings employing strongly tangential property

Sintunavarat and Kumam (W. Sintunavarat, P. Kumam, Gregus-type common fixed point theorems for tangential multi-valued mappings of integral type in metric spaces, Int. J. Math. Math. Sci. 2011 12 (Article ID 923458)) extended the tangential property to hybrid pair of mappings which generalizes the idea of tangential property due to Pathak and Shahzad (H.K. Pathak, N. Shahzad, Gregus type fixed point results for tangential mappings satisfying contractive conditions of integral type, Bull. Belg. Math. Soc. Simon Stevin 16(2) (2009) 277–288). In the present paper, we introduce the notion of strong tangential property and utilize the same to prove an integral type metrical common fixed point theorem for non-self mappings. An illustrative example is also furnished to support our main result. Our results are corrected, improved and generalized versions of a multitude of relevant common fixed point theorems of the existing literature.     

Fixed point theorems for set-valued contractions in complete metric spaces

The fixed point theory of set-valued contractions which was initiated by Nadler [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969) 475-488] was developed in different directions by many authors, in particular, by [S. Reich, Fixed points of contractive functions, Boll. Unione Mat. Ital. 5 (1972) 26-42; N. Mizoguchi, W. Takahashi, Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989) 177-188; Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317 (2006) 103-112]. In the present paper, the concept of contraction for set-valued maps in metric spaces is introduced and the conditions guaranteeing the existence of a fixed point for such a contraction are established. One of our results essentially generalizes the Nadler and Feng-Liu theorems and is different from the Mizoguchi-Takahashi result. The second result is different from the Reich and Mizoguchi-Takahashi results. The method used in the proofs of our results is inspired by Mizoguchi-Takahashi and Feng-Liu's ideas. Comparisons and examples are given.