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Volume 6, No. 2, June 2013, Sha’aban 1434 H

  Articles

 

 

PROPERTY (m) FOR BOUNDED LINEAR OPERATORS

A bounded linear operator T acting on a Banach space  satisfies property (m) if σ (T) \ σ ub(T) = E0(T), where σub(T) is the upper semi-Browder spectrum of T, σ(T) is the usual spectrum of T and E0(T) is the set of isolated points of the spectrum σ(T) of T which are eigenvalues of finite multiplicity. In this paper we introduce and study new properties (m), and (gm), which are related to Weyl type theorems. These properties are also studied in the framework of polaroid operators.

 

M.H.M.RASHID

 

JJMS, 2013, 6(2), 81-102

NONUNIFORM WAVELET PACKET BASES FOR THE SPACES Lp(R) AND H1(R)

In this paper, we prove the results on the existence of unconditional nonuniform wavelet packet bases for the spaces Lp(R); 1 < p < and H1(R) based on the approach similar to that of Meyer and Coifman. Certain results are obtained in this direction by assuming only that the nonuniform wavelet packets ωn and its derivatives ώn have a common radial decreasing L1–majorant function.

 

SOHRAB ALI

JJMS, 2013, 6(2), 103-121

A FIXED POINT THEOREM IN INTUITIONISTIC FUZZY METRIC SPACE

In this paper, we prove a common fixed point theorem for occasionally weakly compatible mappings in intuitionistic fuzzy metric space. An example is furnished to support our main result. Our results improve the results of Sharma and Deshpande [Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces, Chaos Solit. Fract. 40(2009), 2242–2256] and generalize several known results existing in the literature.

 

SUNNY CHAUHAN

M. ALAMGIR KHAN

B. D. PANT

 

JJMS, 2013, 6(2), 123-140

COUPLED FIXED POINT THEOREMS FOR COMPATIBLE MAPS AND ITS VARIANTS IN FUZZY METRIC SPACES

In this note, first we introduce the notion of common coupled coincidence point for pairs of mappings and secondly, we introduce the variants of compatible maps (compatible map of type (A) and type (P)) in fuzzy metric spaces for coupled maps. At the end, we prove some common fixed point theorems for pairs of maps that generalize the results of various authors present in literature.

SUMITRA

 

JJMS, 2013, 6(2), 141-155

SOME WELL KNOWN INEQUALITIES AND ITS APPLICATIONS IN INFORMATION THEORY

Inequalities are very useful to information theory for new results. Inequalities are widely used for some bounds of  information divergence measure of in Information Theory. There are many information and divergence measures exists in the literature on information theory and statistics. In this paper we establish some bounds of information and divergence measures using some inequalities and Csiszar’s f-divergence measure.

 

K. C. JAIN

RAM NARESH SARASWAT

 

JJMS, 2013, 6(2), 157-167