We introduced a general class of contraction maps on a metric space, called Acontractions (that includes the contractions originally studied by R. Kannan, M. S. Khan at el, R. Bianchini, and S. Reich), and extended some common fixed point theorems on M. S. Khan’s contractions to general self maps of a metric space satisfying certain A-contraction type condition; in this paper, we prove exact an...

in this paper, the notion of $psi -$weak contraction cite{rhoades} isextended to fuzzy metric spaces. the existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. our resultgeneralizes a result of gregori and sapena cite{gregori}.

Let (W,d) be a metric space and S = {s1 . . . sk} an ordered list of subsets of W . The distance between p ∈ W and si ∈ S is d(p, si) = min{ d(p, q) : q ∈ si }. S is a resolving set forW if d(x, si) = d(y, si) for all si implies x = y. A metric basis is a resolving set of minimal cardinality, named the metric dimension of (W,d). The metric dimension has been extensively studied in the literatur...

‎In this paper, generalized convex contractions on orthogonal metric spaces are stablished in whath  might be called their  definitive versions. Also, we show that there are examples which show that our main theorems are  genuine generalizations of Theorem 3.1 and 3.2 of [M.A. Miandaragh, M. Postolache and S. Rezapour,  {it Approximate fixed points of generalized convex contractions}, Fixed Poi...

In this article, we present an extension of the controlled rectangular b-metric spaces, so-called metric-like where keep symmetry condition and only change [D(s,r)=0?s=r]to[D(s,r)=0?s=r], which means may have a non-zero self distance; also, D(s,s) is not necessarily less than D(s,r). This new type metric space generalization spaces partial spaces.

Keywords: Implicit iterative algorithm Asymptotically quasi-nonexpansive mappings Common fixed point Convex metric space a b s t r a c t In this paper, we consider an implicit iteration process to approximate the common fixed points of two finite families of asymptotically quasi-nonexpansive mappings in convex metric spaces. As a consequence of our result, we obtain some related convergence the...

Let S be a surface of finite type; that is, a closed, oriented surface with a finite (possibly empty) set of points removed. In this paper we classify (globally) geodesic rays in the moduli space M(S) of Riemann surfaces, endowed with the Teichmüller metric, and we determine precisely how pairs of rays asymptote. We then use these results to relate two important but disparate topics in the stud...

The total space of the tangent bundle of a Kähler manifold admits a canonical Kähler structure. Parallel translation identifies the space T of oriented affine lines in R with the tangent bundle of S. Thus, the round metric on S induces a Kähler structure on T which turns out to have a metric of neutral signature. It is shown that the isometry group of this metric is isomorphic to the isometry g...

How many points do we need to approximate a given metric space S (e.g., a ball in the Euclidean space) with a given accuracy ε > 0? To be more precise, how many points do we need to reproduce the metric ρ(X, Y ) on S with an accuracy ε? This problem is known to be equivalent to the following geombinatoric problem: find the smallest number of balls of given radius ε that cover a given set S. A s...