In this paper, some new unique common fixed points for four mappings satisfying Ф-contractive conditions on non-complete 2-metric spaces are obtained, in which the mappings do not satisfy continuity and commutation. ...In this paper, some new unique common fixed points for four mappings satisfying Ф-contractive conditions on non-complete 2-metric spaces are obtained, in which the mappings do not satisfy continuity and commutation. The main results generalize and improve many well-known and corresponding conclusions in the literatures.展开更多
Infrastructure mega-project(IMP) innovation is a complex process characterized by highly diverse innovators, a dynamic life-cycle, and stickiness of innovation knowledge. The IMP's innovation network can be easily...Infrastructure mega-project(IMP) innovation is a complex process characterized by highly diverse innovators, a dynamic life-cycle, and stickiness of innovation knowledge. The IMP's innovation network can be easily broken due to the fact that the network involves many different innovators across different industries and different projects. Further reasons for the fragility of the IMP's innovation network are the dynamics of the IMP life-cycle, the diversity of the IMP's innovative entities, the uniqueness of each IMP, and the temporary nature of each IMP's organizations. The innovation island formed by the breaking of an IMP's innovation network can stifle and harm innovation performance. Drawing from the knowledge-based view as well as innovation network theory, our research identifies the heterogeneous characteristics of IMP innovation. We propose a framework to analyze the formation mechanism of the IMP innovation island from three dimensions—the horizontal innovation island, the vertical innovation island, and the longitudinal innovation island. We look at the Hong Kong-ZhuhaiMacao Bridge project to elaborate the innovation island concept that negatively impacts IMP innovation. We also offer theoretical implications regarding the broader question of how IMPs can manage their innovation in practice.展开更多
This paper has studied the Gross uniqueness question ignoring multiplicity and relating multiple values, and extended and improved on some related results in.
In this article, the unique continuation and persistence properties of solutions of the 2-component Degasperis-Procesi equations are discussed. It is shown that strong solutions of the 2-component Degasperis-Procesi e...In this article, the unique continuation and persistence properties of solutions of the 2-component Degasperis-Procesi equations are discussed. It is shown that strong solutions of the 2-component Degasperis-Procesi equations, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if they also decay exponentially at a later time.展开更多
The problem of uniqueness of entire functions is dealt with. It is shown that there exists a finite set S such that any two nonconstant entire functions f and g satisfying Ef(S) = Eg(S) must be identical, which answer...The problem of uniqueness of entire functions is dealt with. It is shown that there exists a finite set S such that any two nonconstant entire functions f and g satisfying Ef(S) = Eg(S) must be identical, which answers an open question posed by Gross.展开更多
High-entropy alloys(HEAs),which were introduced as a pioneering concept in 2004,have captured the keen interest of nu-merous researchers.Entropy,in this context,can be perceived as representing disorder and randomness...High-entropy alloys(HEAs),which were introduced as a pioneering concept in 2004,have captured the keen interest of nu-merous researchers.Entropy,in this context,can be perceived as representing disorder and randomness.By contrast,elemental composi-tions within alloy systems occupy specific structural sites in space,a concept referred to as structure.In accordance with Shannon entropy,structure is analogous to information.Generally,the arrangement of atoms within a material,termed its structure,plays a pivotal role in dictating its properties.In addition to expanding the array of options for alloy composites,HEAs afford ample opportunities for diverse structural designs.The profound influence of distinct structural features on the exceptional behaviors of alloys is underscored by numer-ous examples.These features include remarkably high fracture strength with excellent ductility,antiballistic capability,exceptional radi-ation resistance,and corrosion resistance.In this paper,we delve into various unique material structures and properties while elucidating the intricate relationship between structure and performance.展开更多
For a monoid M, we introduce M-McCoy rings, which are generalization of McCoy rings, and we investigate their properties. Every M-Armendariz ring is M-McCoy for any monoid M. We show that R is an M-McCoy ring if and o...For a monoid M, we introduce M-McCoy rings, which are generalization of McCoy rings, and we investigate their properties. Every M-Armendariz ring is M-McCoy for any monoid M. We show that R is an M-McCoy ring if and only if an n × n upper triangular matrix ring αUTn (R) over R is an M-McCoy ring for any monoid M. It is proved that if R is McCoy and R[x] is M-McCoy, then R[M] is McCoy for any monoid M. Moreover, we prove that if R is M-McCoy, then R[M] and R[x] are M-McCoy for a commutative and cancellative monoid M that contains an infinite cyclic submonoid.展开更多
文摘In this paper, some new unique common fixed points for four mappings satisfying Ф-contractive conditions on non-complete 2-metric spaces are obtained, in which the mappings do not satisfy continuity and commutation. The main results generalize and improve many well-known and corresponding conclusions in the literatures.
基金funded by the National Natural Science Foundation of China(Grant Nos.71390525 and 71620107004)the Shanghai Excellent Academic Leaders Program(Grant No.14XD1402200)
文摘Infrastructure mega-project(IMP) innovation is a complex process characterized by highly diverse innovators, a dynamic life-cycle, and stickiness of innovation knowledge. The IMP's innovation network can be easily broken due to the fact that the network involves many different innovators across different industries and different projects. Further reasons for the fragility of the IMP's innovation network are the dynamics of the IMP life-cycle, the diversity of the IMP's innovative entities, the uniqueness of each IMP, and the temporary nature of each IMP's organizations. The innovation island formed by the breaking of an IMP's innovation network can stifle and harm innovation performance. Drawing from the knowledge-based view as well as innovation network theory, our research identifies the heterogeneous characteristics of IMP innovation. We propose a framework to analyze the formation mechanism of the IMP innovation island from three dimensions—the horizontal innovation island, the vertical innovation island, and the longitudinal innovation island. We look at the Hong Kong-ZhuhaiMacao Bridge project to elaborate the innovation island concept that negatively impacts IMP innovation. We also offer theoretical implications regarding the broader question of how IMPs can manage their innovation in practice.
基金Supported in part by National Natural Science Foundation of China
文摘This paper has studied the Gross uniqueness question ignoring multiplicity and relating multiple values, and extended and improved on some related results in.
基金supported by NNSFC(11001219,10925104)the Scientific Research Program Funded by Shaanxi Provincial Education Department(2010JK860)
文摘In this article, the unique continuation and persistence properties of solutions of the 2-component Degasperis-Procesi equations are discussed. It is shown that strong solutions of the 2-component Degasperis-Procesi equations, initially decaying exponentially together with its spacial derivative, must be identically equal to zero if they also decay exponentially at a later time.
基金Project supported by the National Natural Science Foundation of China.
文摘The problem of uniqueness of entire functions is dealt with. It is shown that there exists a finite set S such that any two nonconstant entire functions f and g satisfying Ef(S) = Eg(S) must be identical, which answers an open question posed by Gross.
基金supported by the National Natural Science Foundation of China(No.52273280)the Creative Research Groups of China(No.51921001).
文摘High-entropy alloys(HEAs),which were introduced as a pioneering concept in 2004,have captured the keen interest of nu-merous researchers.Entropy,in this context,can be perceived as representing disorder and randomness.By contrast,elemental composi-tions within alloy systems occupy specific structural sites in space,a concept referred to as structure.In accordance with Shannon entropy,structure is analogous to information.Generally,the arrangement of atoms within a material,termed its structure,plays a pivotal role in dictating its properties.In addition to expanding the array of options for alloy composites,HEAs afford ample opportunities for diverse structural designs.The profound influence of distinct structural features on the exceptional behaviors of alloys is underscored by numer-ous examples.These features include remarkably high fracture strength with excellent ductility,antiballistic capability,exceptional radi-ation resistance,and corrosion resistance.In this paper,we delve into various unique material structures and properties while elucidating the intricate relationship between structure and performance.
基金the National Natural Science Foundation of China (No. 10171082) the Natural Science Foundation of Gansu Province (No. 3ZSA061-A25-015) and the Scientific Research Fund of Gansu Provincial Education Department (Nos. 06021-21 0410B-09).
文摘For a monoid M, we introduce M-McCoy rings, which are generalization of McCoy rings, and we investigate their properties. Every M-Armendariz ring is M-McCoy for any monoid M. We show that R is an M-McCoy ring if and only if an n × n upper triangular matrix ring αUTn (R) over R is an M-McCoy ring for any monoid M. It is proved that if R is McCoy and R[x] is M-McCoy, then R[M] is McCoy for any monoid M. Moreover, we prove that if R is M-McCoy, then R[M] and R[x] are M-McCoy for a commutative and cancellative monoid M that contains an infinite cyclic submonoid.