Metric space
CONTINUOUS FUZZY MAPPINGS IN FUZZY METRIC SPACE
... fuzzy metric space given above is a set of fuzzy points on the same fuzzy linear ...fuzzy metric space in example 2 comprises fuzzy points belonging to a fuzzy linear ...
9
Remarks on monotone multivalued mappings on a metric space with a graph
... Let (X, d) be a metric space and J : X → 2 X be a multivalued mapping. In this work, we discuss the definition of G-contraction mappings introduced by Beg et al. (Comp. Math. Appl. 60:1214-1219, 2010) and ...
7
Basic inequality on a b metric space and its applications
... Motivated by this question, in this paper, we first prove some inequality. Using this in- equality, we improve Lemma . In order to understand deeply the mathematical structure of a b-metric space, we give a ...
11
Quantum Local Causality in Non Metric Space
... non-metric space has been previously introduced as an alternative consequence of Bell inequalities ...non-metric space and ...of metric, non-contextual variables algebraically ...
20
Pseudo-metric space and fixed point theorem
... pseudo-metric space was already defined by Włodarczyk et ...pseudo-metric space. In this paper, we use a locally convex space as a target set for a cone pseudo-metric, which is ...
18
Fw-contractions in a complete G-metric space
... Proof. (w1) and (w2) are obvious. We show (w3). Let ε > 0 be given and put δ = ε/2. If G(a, x, x) ≤ δ and G(a, y, z) ≤ δ , we have, G(a, a, x) ≤ δ , which imply that G(x, y, z) ≤ 2δ = ε. Example 1.10. Let X = [0, ∞) ...
10
Contractions with rational inequalities in the extended b metric space
... In this note, we shall reconsider the results of Dass and Gupta [3] and Jaggi [4] in a newly introduced abstract space, known as extended b-metric space. The notion of the extended b-metric ...
11
On multi-valued maps with images in the space of closed subsets of a metric space
... the space clos(X) of all nonempty closed subsets of a given metric space X are ...the space clos(X) in pair with the Hausdorff metric dist (called, in this case, the generalized Hausdorff ...
21
The contraction principle for mappings on a modular metric space with a graph
... modular metric space endowed with a graph. The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz ...
10
The Near Ring of Lipschitz Functions on a Metric Space
... a metric space have been studied in some depth by functional analysts for the past half of a ...a metric space X, ρ to a Banach space E often R or C, so that addition and multiplication ...
14
Ascoli type theorems in the cone metric space setting
... cone metric spaces, namely ab- stract structures endowed with a distance function taking values in an ordered vector or a normed space, which includes in particular metric semigroups, whose an ...
16
UNIQUE FIXED POINT THEOREMS IN COMPLETE METRIC SPACE
... Complete Metric Space, in which the fixed point theorems in A Meir Emmatt [4], Brouwer [5], Caccioppoli [8] and Dolhare U P [1,2,3] as a special ...complete Metric Space has a unique fixed ...
6
A generalized metric space and related fixed point theorems
... standard metric spaces have ...dislocated metric spaces in which self distance of a point need not be equal to ...dislocated metric spaces, see [–] and references ...considered. Metric fixed ...
14
Common fixed points in complex S-metric space
... deferent metric spaces is a very famous problem, which was inspired by the work of Banach ...different metric spaces and under many different contraction principles were proved; see, for example, [3], [5], ...
16
Common Fixed Point on Cone Rectangular Metric Space
... Jungck, Common fixed point results for non commuting mappings without continuity in cone metric space, J. Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorems [r] ...
9
Quadrupled fixed point in g-metric space with an application
... In 1992, B.C. Dhage introduced a new class of generalized metric space called D-metric spaces (see [7]). In a subsequent series of papers, Dhage attempted to develop topological structures in such ...
44
Fixed point Theorem in Intuitionistic Fuzzy metric space
... fuzzy metric spaces as a generalization of fuzzy metric spaces due to George and Veeramani[4] and also proved some basic results which include Baire’s theorem and uniform limit theorem besides some other ...
7
Random Fixed Point TheoremsIn Metric Space
... Fixed point theory is one of the most dynamic research subjects in nonlinear sciences. Regarding the feasibility of application of it to the various disciplines, a number of authors have contributed to this theory with a ...
9
A Generalized Metric Space and Related Fixed Point Theorems
... of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ...standard metric spaces ...
7
Metric space, Applications and its properties
... OF METRIC SPACE IN QUANTUM MECHANICS 1 Hilbert space combines the properties of two different types of mathematical spaces: vector space and metric ...the metric-space ...
5