Volume 22, No. 2 (2012)
Articles
STRONG CONVERGENCE FOR FINITE FAMILY OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE
BALWANT SINGH THAKUR
The purpose of this paper is to prove strong convergence theorems for a finite family of asymptotically non expansive mappings in the intermediate sense, using implicit iteration process with error term. The results in this paper extend and generalize corresponding earlier results by Zhou and Chang and by Sun.
ON TEMPERED DISTRIBUTIONS WITH GABOR TRANSFORM IN LORENTZ-KARAMATA SPACES
ILKER ERYILMAZ
In this paper, some fundamental properties of Lorentz-Karamata (LK) spaces are examined by using the properties of Lorentz spaces. Also, we prove some properties of the spaces of tempered distributions, where Gabor transform of these tempered distri-butions are in Lorentz-Karamata spaces, in analog to modulation spaces.
A COMMON FIXED POINT THEOREM FOR SET-VALUED MAPPINGS USING δ-DISTANCE IN COMPLETE METRIC SPACES
EMIRHAN HACIOĞLU, MUSTAFA TELCI
A common fixed point theorem for set-valued mappings on a complete metric space is established using δ -distance function.
SECURE BEE ALGORITHMS FOR ROUTING IN MOBILE AD HOC NETWORKS (MANETS): A SURVEY
MARJAN KUCHAKI RAFSANJANI, HAMIDEH FATEMIDOKHT
The Mobile Ad hoc Networks (MANETs) due to infrastructureless, mobility and limited physical security of nodes are vulnerable to a number of security threats. Hence designing a secure routing protocol has become a popular research topic. Bio/Nature-inspired routing algorithms (Swarm Intelligence) such as BeeAdHoc have been presented for developing routing algorithms for MANETs. In this paper, first, we inspect the security vulnerabilities of BeeAdHoc and then study the presented algorithms for improving the BeeAdHoc, which some of them utilized asymmetric cryptography based on digital signatures and others are based on Artificial Immune Systems (AIS). Afterward, BeeAdHoc with its secure frameworks and classical routing protocols AODV and DSR are compared. Our results show that the iBeeAIS is a suitable candidate for secure routing in MANETs.
INGARDEN SPACES WITH A SPECIAL NONLINEAR CONNECTION
Otilia Lungu, Valer Nimineţ
In this paper we consider a new nonlinear connection constructed from N, a given Lorentz nonlinear connection, and we obtain a condition for the Ingarden space to be a space of scalar curvature.
COUPLED FIXED POINT THEOREMS FOR NONLINEAR CONTRACTIONS IN PARTIALLY ORDERED GENERALIZED METRIC SPACES
NGUYEN VAN LUONG, NGUYEN XUAN THUAN
In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G - metric spaces.
DENSE SUBCLASSES IN ABSTRACT SOBOLEV SPACES ON METRIC MEASURE SPACES
MARCELINA MOCANU
Given a metric measure space (X; d; μ) and a Banach function space B over X that has absolutely continuous norm, we prove two results regarding the density in the Newtonian space N^ 1,B (X) of the subclasses consisting of bounded functions, respectively of bounded functions supported in closed balls. We do not assume that μ is a doubling measure. If B is rearrangement invariant, (X; d) is proper and the measure μ is non-atomic, it turns out that the class of bounded compactly supported functions from N^ 1,B (X) is dense in N^ 1,B (X).
A GENERALIZATION OF LOCALLY MINKOWSKI GLⁿ SPACE
VALER NIMINEŢ, OTILIA LUNGU
We continue the investigation of the generalized Lagrange spaces [4] with the case when Fⁿ is a locally Minkowski space. Moreover, we generalize the GL-metric γιφ(ψ) and give the canonical metric connections.
ANOTHER GENERAL DECOMPOSITION THEOREM OF CLOSED FUNCTIONS
TAKASHI NOIRI, VALERIU POPA
We introduce a new function from a topological space to an m-space, called a gm-closed function. This function enables us to unify certain kind of modifications of closed functions.
A GENERAL FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY COMPATIBLE HYBRID PAIRS IN QUASI - METRIC SPACES AND APPLICA-TIONS
VALERIU POPA, ALINA-MIHAELA PATRICIU
In this paper a general fixed point theorem for two pairs of occasionally weakly compatible hybrid pairs in quasi - metric spaces is proved. As an application we reduce the study of fixed points for occasionally weakly compatible pairs in G - metric spaces to the study of occasionally weakly compatible pairs in quasi - metric spaces.
A NOTE ON KLAMKIN'S INEQUALITY
YILUN SHANG
In this note, we generalize a one variable inequality of Klamkin to the case of two variables.
CERTAIN GENERALIZATION OF SUPERCONTINUITY/δ-CONTINUITY
D. SINGH, J. K. KOHLI
Two generalizations of supercontinuous functions (Indian J. Pure Appl. Maths. 13(1982), 229-236) and δ -continuous functions (J. Korean Math. Soc. 16(1980), 161-166) are introduced. Several properties of these generalizations and their relationships with other variants of continuity in the literature are investigated. These new variants of supercontinuity / δ -continuity also generalize certain forms of (almost) strong θ-continuity (J. Korean Math. Soc. 18(1981), 21-28; Indian J. Pure Appl. Maths. 15(1) (1984), 1-8).
λ-CENTRAL BMO ESTIMATES FOR MULTILINEAR COMMUTATORS OF SINGULAR INTEGRAL OPERATOR ON SPACES OF HOMOGENEOUS TYPE
CHENG YUE, HUANG CHUANGXIA, LIU LANZHE
In this paper, we establish λ -central BMO estimates for the multilinear commutator related to the singular integral operator in central Morrey spaces on homogeneous spaces.