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Search Results: 1 - 10 of 26834 matches for " Yongjie Jin "
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New Unique Common Fixed Point Results for Four Mappings with Ф-Contractive Type in 2-Metric Spaces  [PDF]
Yongjie Piao, Yuanfeng Jin
Applied Mathematics (AM) , 2012, DOI: 10.4236/am.2012.37108
Abstract: 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.
Four Mappings Satisfying Ψ-Contractive Type Condition and Having Unique Common Fixed Point on 2-Metric Spaces  [PDF]
Hailan Jin, Yongjie Piao
Advances in Pure Mathematics (APM) , 2013, DOI: 10.4236/apm.2013.32039
Abstract:

In this paper, we introduce a class Ψ of real functions defined on the set of non-negative real numbers, and obtain a new unique common fixed point theorem for four mappings satisfying Ψ-contractive condition on a non-complete 2-metric space and give the versions of the corresponding result for two and three mappings.

An Improvement of a Known Unique Common Fixed Point Result for Four Mappings on 2-Metric Spaces  [PDF]
Ailian Jin, Yongjie Piao
Applied Mathematics (AM) , 2013, DOI: 10.4236/am.2013.411A1001
Abstract:

In this paper, we introduce a new class Γ, which is weak than a known class Ψ, of real continuous functions defined on [0, +∞), and use another method to prove the known unique common fixed point theorem for four mappings with γ-contractive condition instead of Ψ-contractive condition on 2-metric spaces.

Fixed Points and Common Fixed Points of Quasi-Contractive Mappings on Partially Ordered-Cone Metric Spaces  [PDF]
Hailan Jin, Yongjie Piao
Applied Mathematics (AM) , 2014, DOI: 10.4236/am.2014.521321
Abstract: In this paper, we use the mappings with quasi-contractive conditions, defined on a partially ordered set with cone metric structure, to construct convergent sequences and prove that the limits of the constructed sequences are the unique (common) fixed point of the mappings, and give their corollaries. The obtained results improve and generalize the corresponding conclusions in references.
Common Fixed Points for Two Contractive Mappings of Integral Type in Metric Spaces  [PDF]
Xing Jin, Yongjie Piao
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.66093
Abstract: In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction of integral type respectively in metric spaces.
Common Fixed Points for a Countable Family of Set-Valued Mappings with Quasi-Contractive Conditions on Metrically Convex Spaces  [PDF]
Yuexi Jin, Ailian Jin, Yongjie Piao
Advances in Pure Mathematics (APM) , 2014, DOI: 10.4236/apm.2014.41003
Abstract:

In this paper, we consider a countable family of set-valued mappings satisfying some quasi-contractive conditions. We also construct a sequence by the quasi-contractive conditions of mappings and the boundary condition of a closed subset of a metrically convex space, and then prove that the unique limit of the sequence is the unique common fixed point of the mappings. Finally, we give more generalized common fixed point theorems for a countable family of single-valued mappings. The main results generalize and improve many common fixed point theorems for a finite or countable family of single valued or set-valued mappings with quasi-contractive conditions.

A Family of Non-Self Maps Satisfying Φi-Contractive Condition and Having Unique Common Fixed Point in Metrically Convex Spaces  [PDF]
Yongjie Piao, Dongzhe Piao
Advances in Pure Mathematics (APM) , 2012, DOI: 10.4236/apm.2012.24036
Abstract: Class of 5-dimensional functions Φ was introduced and a convergent sequence determined by non-self mappings satisfying certain Φi-contractive condition was constructed, and then that the limit of the sequence is the unique com-mon fixed point of the mappings was proved. Finally, several more general forms were given. Our main results gener-alize and unify many same type fixed point theorems in references.
Absence of PTHrP Nuclear Localization and Carboxyl Terminus Sequences Leads to Abnormal Brain Development and Function
Zhen Gu, Yahong Liu, Yongjie Zhang, Shulei Jin, Qi Chen, David Goltzman, Andrew Karaplis, Dengshun Miao
PLOS ONE , 2012, DOI: 10.1371/journal.pone.0041542
Abstract: We assessed whether the nuclear localization sequences (NLS) and C terminus of parathyroid hormone-related protein (PTHrP) play critical roles in brain development and function. We used histology, immunohistochemistry, histomorphometry, Western blots and electrophysiological recordings to compare the proliferation and differentiation of neural stem cells, neuronal hippocampal synaptic transmission, and brain phenotypes including shape and structures, in Pthrp knock-in mice, which express PTHrP (1–84), a truncated form of the protein that is missing the NLS and the C-terminal region of the protein, and their wild-type littermates. Results showed that Pthrp knock-in mice display abnormal brain shape and structures; decreased neural cell proliferative capacity and increased apoptosis associated with up-regulation of cyclin dependent kinase inhibitors p16, p21, p27 and p53 and down-regulation of the Bmi-1 oncogene; delayed neural cell differentiation; and impaired hippocampal synaptic transmission and plasticity. These findings provide in vivo experimental evidence that the NLS and C-terminus of PTHrP are essential not only for the regulation of neural cell proliferation and differentiation, but also for the maintenance of normal neuronal synaptic transmission and plasticity.
Kineto-Elastodynamic Characteristics of the Six-Degree-of-Freedom Parallel Structure Seismic Simulator
Yongjie Zhao
Journal of Robotics , 2011, DOI: 10.1155/2011/489695
Abstract: Based on the kineto-elastodynamic assumptions, the dynamic model of the six-degree-of-freedom parallel structure seismic simulator is developed by virtue of the finite element method and the substructure synthesis technique. The kineto-elastodynamic characteristics represented by the natural frequency, the sensitivity analysis, the energy ratios, and the displacement response of the moving platform are investigated. It is shown that the second-order natural frequency is much higher than the first-order natural frequency, and the first-order natural frequency is sensitive to the radius of the strut and the radius of the lead screw. In order to improve the dynamic characteristic of the manipulator, the mass of the moving platform should be reduced or the stiffness of the strut should be increased especially for the sixth strut. For the investigated trajectory, the displacement response of the moving platform along the direction is smaller than these displacement responses along the direction and along the direction. The angular displacement response of the moving platform rotating about -axis is slightly larger than those angular displacement responses rotating about the -axis and about the -axis.
Election Attacks with Few Candidates
Yongjie Yang
Computer Science , 2014,
Abstract: We investigate the parameterized complexity of strategic behaviors in generalized scoring rules. In particular, we prove that the manipulation, control (all the 22 standard types), and bribery problems are fixed-parameter tractable for most of the generalized scoring rules, with respect to the number of candidates. Our results imply that all these strategic voting problems are fixed-parameter tractable for most of the common voting rules, such as Plurality, r-Approval, Borda, Copeland, Maximin, Bucklin, etc., with respect to the number of candidates.
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