Some Results Concerning Hilbert Space

In this research paper to obtained a common unique fixed point theorem for two continuous surjective random operators defined on a non empty closed subset of separable Hilbert space. The corresponding result for non-random case is also obtained. Mathematics subject classification : 47H10, 54H25 Keyboards : Separable Hilbert space, random operators, common random fixed point

Fixed Points Theorem on A Pair of Random Generalized Non-Linear Contractions

A fixed point theorem for a pair of random generalized non-linear contraction mappings involving four points of the space under consideration is proven. It is shown that this result includes the result of Lee and Padgett [1]. Also an application of the result is given. Key words : Complete probability measure space, d-algebras, Borel subsets, random operator, separable Banach space, upper semi-continuous functions. Bochner integral, Mathematics Subject classification: Primary 60H99, 47H10, and Secondary 60H 20

Some Coupled coincidence and common fixed point theorems for hybrid pair of mappings

In this paper we extend the multi-valued mappings and obtain coupled coincidence points and common coupled fixed point theorems involving hybrid pair of single valued and multi-valued maps satisfying generalized contractive conditions in the frame work of a complete metric space. Keywords: coupled common fixed point, coupled coincidence point, coupled point of coincidence, w-compatible mappings, F-weakly commuting mappings

The existence of common fixed point theorems of generalized contractive mappings in cone metric spaces

The purpose of this paper is to the study of the existence of common fixed point theorem for a sequence of self maps satisfying generalized contractive condition for a cone metrice space and obtains some new results in it. Also the paper contains generalized fixed point theorems of [10, 13, 19] and many others from the current literature.

Unique Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Partial Metric Spaces

The aim of this paper to prove some fixed point theorems for generalized weakly contractive condition in ordered partial metric spaces. The result extend the main theorems of Nashine and altun[17] on the class of ordered partial metric ones. Keywords: - Partial metric, ordered set, fixed point, common fixed point. AMS subject classification: - 54H25, 47H10, 54E5

ON m-PROJECTIVE CURVATURE TENSOR OF GENERALIZED SASAKIAN-SPACE-FORMS

\begin{abstract}The object of the present paper is to characterize generalized Sasakian-space-forms satisfying certain curvature conditions on m-projective curvature tensor. In this paper, we study m-projectively semisymmetric, m-projectively flat, $\xi$-m-projectively flat, m-projectively recurrent generalized Sasakian-space-forms. Also $W^*.S = 0$ and $W^*.R= 0$ on generalized Sasakian-space-forms are studied.\end{abstract

Azimuthal anisotropy at RHIC: the first and fourth harmonics

We report the first observations of the first harmonic (directed flow, v_1), and the fourth harmonic (v_4), in the azimuthal distribution of particles with respect to the reaction plane in Au+Au collisions at the Relativistic Heavy Ion Collider (RHIC). Both measurements were done taking advantage of the large elliptic flow (v_2) generated at RHIC. From the correlation of v_2 with v_1 it is determined that v_2 is positive, or {\it in-plane}. The integrated v_4 is about a factor of 10 smaller than v_2. For the sixth (v_6) and eighth (v_8) harmonics upper limits on the magnitudes are reported.Comment: 6 pages with 3 figures, as accepted for Phys. Rev. Letters The data tables are at http://www.star.bnl.gov/central/publications/pubDetail.php?id=3

Event-wise ⟨p\u3csub\u3et\u3c/sub\u3e⟩ fluctuations in Au-Au collisions at √s\u3csub\u3eNN\u3c/sub\u3e = 130 GeV

We present the first large-acceptance measurement of event-wise mean transverse momentum ⟨pt⟩ fluctuations for Au-Au collisions at nucleon-nucleon center-of-momentum collision energy √sNN = 130 GeV. The observed nonstatistical ⟨pt⟩ fluctuations substantially exceed in magnitude fluctuations expected from the finite number of particles produced in a typical collision. The r.m.s. fractional width excess of the event-wise ⟨pt⟩ distribution is 13.7±0.1(stat) ±1.3(syst)% relative to a statistical reference, for the 15% most-central collisions and for charged hadrons within pseudorapidity range |η|c. The width excess varies smoothly but nonmonotonically with collision centrality and does not display rapid changes with centrality which might indicate the presence of critical fluctuations. The reported ⟨pt⟩ fluctuation excess is qualitatively larger than those observed at lower energies and differs markedly from theoretical expectations. Contributions to ⟨pt⟩ fluctuations from semihard parton scattering in the initial state and dissipation in the bulk colored medium are discussed

Event-wise ⟨p\u3csub\u3et\u3c/sub\u3e⟩ fluctuations in Au-Au collisions at √s\u3csub\u3eNN\u3c/sub\u3e = 130 GeV

We present the first large-acceptance measurement of event-wise mean transverse momentum ⟨pt⟩ fluctuations for Au-Au collisions at nucleon-nucleon center-of-momentum collision energy √sNN = 130 GeV. The observed nonstatistical ⟨pt⟩ fluctuations substantially exceed in magnitude fluctuations expected from the finite number of particles produced in a typical collision. The r.m.s. fractional width excess of the event-wise ⟨pt⟩ distribution is 13.7±0.1(stat) ±1.3(syst)% relative to a statistical reference, for the 15% most-central collisions and for charged hadrons within pseudorapidity range |η|c. The width excess varies smoothly but nonmonotonically with collision centrality and does not display rapid changes with centrality which might indicate the presence of critical fluctuations. The reported ⟨pt⟩ fluctuation excess is qualitatively larger than those observed at lower energies and differs markedly from theoretical expectations. Contributions to ⟨pt⟩ fluctuations from semihard parton scattering in the initial state and dissipation in the bulk colored medium are discussed