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We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with non-positive curvature, and more generally into a non-positively curved...
We prove that for an unbounded metric space $X$, the minimal character $m\chi(\check X)$ of a point of the Higson corona $\check X$ of $X$ is equal to $\mathfrak u$ if $X$ has asymptotically isolated ...
Abstract: Motivated by the recent work on conditional risk measures, this paper studies the Ekeland's variational principle for a proper, lower semicontinuous and lower bounded $\bar{L}^{0}-$valued fu...
Abstract: We show how the $A_\infty$ class of weights can be considered as a metric space. As far as we know this is the first time that a metric d is considered on this set. We use this metric to gen...
A number of recent results in Euclidean Harmonic Analysis have exploited several adjacent systems of dyadic cubes, instead of just one fixed system. In this paper, we extend such constructions to gene...
Fixed point theorems in dislocated quasi-metric space     dislocated quasi-metric  fixed point       font style='font-size:12px;'> 2010/9/20
In this paper we have proved fixed point theorems for continuous contraction mappings in dislocated quasi-metric space. Also we obtain a common fixed point theorem for a pairs of mappings in dislocate...
Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear space is proven first a...
On Fixed-point theorems in Intuitionistic Fuzzy metric Space     Fixed-point theorems  metric Space       font style='font-size:12px;'> 2010/11/12
In this paper, first we have established two sets of sufficient conditions for a mapping to have unique fixed point in a intuitionistic fuzzy metric space and then we have redefined the contraction ma...
In this paper we have proved fixed point theorems for Kannan mappings and generalized contraction mappings in dislocated quasi-metric space. Also discussed a common fixed point theorem in complete dis...
In this article, some new completeness theorems in probabilis- tic normed space are proved. Moreover, the existence of a constrictive Menger probabilistic normed space is shown.
Variety of Banach algebras is a non-empty class of Banach algebras in which there exist a family of laws such that all of its members satisfy all of the laws. In this paper, we have used merely mathem...
Best p-Simultaneous Approximation in Some Metric Space     Simultaneous  Approximation       font style='font-size:12px;'> 2010/2/25
Let X be a Banach space, (I,m) be a finite measure space, and F be an increasing subadditive continuous function on [0,+\infty) with F(0)=0. In the present paper, we discuss the best p-simultaneous ap...

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