[PDF] Top 20 COMPLETENESS IN QUASI-PSEUDOMETRIC SPACES
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COMPLETENESS IN QUASI-PSEUDOMETRIC SPACES
... uniform spaces, completeness, total boundedness and compactness look very different in quasi-metric and quasi-uniform spaces, due to the lack of symmetry of the ...with ... See full document
17
On completeness of quasi pseudometric spaces
... for quasi-pseudometric spaces. These spaces are not symmetric and therefore there are several inequivalent notions of a Cauchy sequence which lead to different notions of a complete space, see ... See full document
11
New completeness and periodic points of discontinuous contractions of Banach-type in quasi-gauge spaces without Hausdorff property
... Remark . (i) It is worth noticing that each map T satisfying (H) satisfies (H). (ii) If condition (B) or (E) holds, then condition (C) or (F) holds, respectively. (iii) Since in the results of [, ] and [], the ... See full document
27
Critical Point Theorems and Ekeland Type Variational Principle with Applications
... metric spaces defined by Huang and ...metric spaces. As applications of our results, we characterize the completeness of λ-space cone metric spaces and quasimetric spaces are special ... See full document
21
Symmetry Conditions on the Coincidence of Some Notions of Quasi Uniform Completeness
... of completeness for the class of all quasi-uniform spaces is due to the difficulty to approach the notion of Cauchy net (filter) in an appropriate way from the case of uniform spaces to the case ... See full document
12
Quasi pseudometrizability of the point open ordered spaces and the compact open ordered spaces
... (separated) quasi-(pseudo)- metrizable if there is a (completely) (separating) quasi-(pseudo)metric on X compatible with (X,τ, ...a quasi-pseudometric d on X is separating if and only if (X,T ... See full document
8
Characterization of Multiplicative Metric Completeness
... In 1970 Michael Grossman and Robert Katz [11] established a new calculus called multiplicative calculus also termed as exponential calculus. Florack and Van Assen [10] used the idea of multiplicative calculus in ... See full document
5
MIX-POINT PROPERTY IN QUASI-PSEUDOMETRIC SPACES
... Lemma 4.1. Let (X, d, b) be a bicomplete quasi-pseudometric type space. Assume J : X → X is a continuous single-valued map such that rd(x, y) ≤ d(J x, J y) for some constant r > 0 such that rαb 2 < 1 ... See full document
9
Coincidence point and common fixed point theorems in the product spaces of mixed monotonically complete quasi ordered metric spaces and their applications to the systems of integral equations and ordinary differential equations
... complete quasi-ordered metric space and monotonically complete quasi-ordered metric ...this completeness, we shall establish some new coincidence point and common fixed point theorems in the product ... See full document
49
Unique fixed point theorems for contractive maps type in T0-quasi-metric spaces
... the pseudometric d on a set X , the symmetry condi- tion d(x, y) = d(y, x) whenever x,y ∈ X , we are led to the concept of ...metric spaces have their equivalent formulation for ... See full document
8
Extensions of Kannan's Fixed Point Results
... Banach contraction principle is certainly one of the most cited fixed point results in the literature and a lot of fixed point results are built around it. In 1968, Kannan [1] estab- lished a similar result which was ... See full document
6
Common Fixed Point Theorem in Cone Metric Space for Rational Contractions
... [7] Mehdi Asadi, S. Mansour Vaezpour, Vladimir Rakocevic, Billy E. Rhoades, Fixed point theorems for contractive mapping in cone metric spaces, Math. Commun. 16 (2011) 147-155. [8] Mahpeyker OzturkOn, Metin ... See full document
7
Completeness and compactness of the Cartesian product of two soft metric spaces
... In 2010, in order to introduce soft set relations, Babitha and Sunil gave a definition of the Carte- sian product of two soft sets. In 2013, Das and Samanta introduced the notion of soft metric space by using a different ... See full document
10
A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces
... However, φ is not right upper semicontinuous at t = , so we cannot apply Corollary . Similarly, we cannot apply Corollary because φ is not a non-decreasing function. Observe also that the w-distance q cannot be ... See full document
8
The Development of Data Quality Metrics using Thematic Analysis
... For completeness, the measurement are the data is complete when there are sufficient of breadth and depth, and data is not missing by the null spaces are defined while for timeliness dimension (in semi ... See full document
7
On Quasi Intuitionistic -Open Maps
... closedinXcontainingf−1(B).By hypothesis, there exists intuitionistic closed set Gof Y such that B ⊂ Gandf −1(G) ⊂ X - U . Hence, f (U ) ⊂ Y - G. Since B ⊂ G, Y - G ⊂ Y -B = f (U ) weobtain f (U ) = Y - Gwhich is ... See full document
5
Fixed Point Theorem and Consequences in D* Metric Spaces
... for quasi-contractions on D*-metric spaces and obtain certain ...for quasi-contractions on metric spaces, proved by ...of Quasi-contraction defined for selfmaps of metric spaces ... See full document
9
Quasi-open functions in Euclidean spaces
... Let X be a topological space. Let C(X) denote the family of all open sets of X. The family C(X) is a complete distributive lattice if set inclusion is taken as the ordering. Two topological spaces X and Y are said ... See full document
5
Some refinement of the inequality in quasi-2-normed spaces and quasi-(2;p)-normed spaces
... 2-normed spaces was introduced by G ¨ ahler [1] in 1965, and has been de- veloped extensively in different subjects by others (see ...product spaces (see ...of quasi-2-normed ...in ... See full document
10
On Quasi Ideal Unique Sequential Spaces
... The subject of ideals in topological spaces has been introduced andstudied by Kuratowski [5] and Vaidyanathasamy [7]. An ideal Ion a topological space (X , ) is a nonempty collection of subsets of X which ... See full document
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