on a finsler manifold, we define conformal vector fields and their complete lifts and prove that incertain conditions they are homothetic.

Recently, Cho et al. [Y. J. Cho, R. Saadati, S. H. Wang, Common xed point theorems on generalized distance in ordered cone metric spaces, Comput. Math. Appl. 61 (2011) 1254-1260] dened the concept of the c-distance in a cone metric space and proved some xed point theorems on c-distance. In this paper, we prove some new xed point and common xed point theorems by using the distance in ordered con...

Given n fragments from k > 2 genomes, Myers and Miller showed how to find an optimal global chain of colinear non-overlapping fragments in O(n log n) time and O(n log n) space. For gap costs in the L1-metric, we reduce the time complexity of their algorithm by a factor log 2 n log logn and the space complexity by a factor log n. For the sum-of-pairs gap cost, our algorithm improves the time com...

We show a general method of construction of non-porous sets in complete metric spaces. This method enables us to answer several open questions. We prove that each non-porous Suslin subset of a topologically complete metric space contains a non-porous closed subset. We show also a suucient condition, which gives that a certain system of compact sets contains a non-porous element. Namely, if we d...

For every metric space X, we deene a continuous poset BX such that X is home-omorphic to the set of maximal elements of BX with the relative Scott topology. The poset BX is a dcpo ii X is complete, and !-continuous ii X is separable. The computational model BX is used to give domain-theoretic proofs of Banach's xed point theorem and of two classical results of Hutchinson: on a complete metric s...

The paper aims at initiating and exploring the concept of extended metric known as Strong Altering JS-metric, a stronger version JS-metric. interrelation JS-metric with b-metric dislocated has been analyzed some examples have provided. Certain theorems on fixed points for expansive self-mappings in setting complete space also discussed.

We introduce and study the notions of a strongly completable and of a strongly complete quasi-uniform space. A quasi-uniform space (X,U) is said to be strongly complete if every Cauchy filter (in the sense of Sieber and Pervin) clusters in the uniform space (X,U ∨ U−1). An interesting motivation for the study of this notion of completeness is the fact, proved here, that the quasi-uniformity ind...

The fixed point theorems in metric spaces are playing a major role to construct methods in mathematics to solve problems in applied mathematics and sciences. So the attraction of metric spaces to a large numbers of mathematicians is understandable. Some generalizations of the notion of a metric space have been proposed by some authors. In 2006, Mustafa in collaboration with Sims introduced a ne...

We show that the domain of formal balls of a complete partial metric space (X, p) can be endowed with a complete partial metric that extends p and induces the Scott topology. This result, that generalizes well-known constructions of Edalat and Heckmann (Theoret. Comput. Sci. 1998) and Heckmann (Appl. Cat. Struct. 1998) for metric spaces and improves a recent result of Romaguera and Valero (Math...

We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a metric on the set of rooted complete locally compact length spaces endowed with a locally finite measure. We prove that this space with the ex...