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A Metric in the Space of Generalized Curves
The Annals of Mathematics, 1950on the class of curves in question. An important step was made when L. C. Young [1, 2] devised the concept of "generalized curve". The author [4] metrized the space of generalized curves in such a way that it was complete and on it each (parametric) integral was continuous; it was still possible to establish a compactness theorem.
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On Neutrosophic Metric Spaces Generated By Classical Metrics
Galoitica: Journal of Mathematical Structures and Applications, 2023This paper is dedicated to study the concept of symbolic neutrosophic metric spaces and refined neutrosophic metric spaces (X(I),d) which are generated by classical metrics, where many elementary properties will be discussed in terms of theorems and examples.
Khadija Ben Othman +3 more
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2016
The basic problem of the principle of mutual classifications of spaces and mappings is that, under which classes of mappings certain topological properties remain unchanged (see Question 2.0.6). One of the central topics of this chapter is to determine the given classes of generalized metric spaces are preserved by which kinds of mappings.
Shou Lin, Ziqiu Yun
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The basic problem of the principle of mutual classifications of spaces and mappings is that, under which classes of mappings certain topological properties remain unchanged (see Question 2.0.6). One of the central topics of this chapter is to determine the given classes of generalized metric spaces are preserved by which kinds of mappings.
Shou Lin, Ziqiu Yun
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Fixed point theorem of generalized quasi-contractive mapping in cone metric space
Computers and Mathematics With Applications, 2011 In this paper, we introduce the generalized quasi-contractive mapping f in a cone metric space (X,d). f is called a generalized quasi-contractive if there is a real λ∈[0,1) such that for all x,y∈X, d(fx,fy)≤λs for some s∈co{0,d(fx,fy),d(x,y),d(x,fx),d(y ...
Zhang, Xian, Xian Zhang
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2014
We now turn to a concept introduced by A. Branciari. This class of spaces has received significant attention lately, although at this point it remains unclear whether the concept has any significant applications.
William Kirk, Naseer Shahzad
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We now turn to a concept introduced by A. Branciari. This class of spaces has received significant attention lately, although at this point it remains unclear whether the concept has any significant applications.
William Kirk, Naseer Shahzad
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TOPOLOGICAL STUDY OF GENERALIZED METRIC SPACES
JP Journal of Geometry and Topology, 2019Summary: The class of generalized metric spaces is introduced. A fixed point theorem in this class is proved and some applications to probabilistic metric spaces are given. Some topological properties of generalized metric spaces are studied. We show that every generalized metric space is, naturally, a uniform space and moreover it is metrizable if the
Mohamad, Abdul Adheem, Yashiro, Tsukasa
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Empty-Space Generalization of the Schwarzschild Metric
Journal of Mathematical Physics, 1963A new class of empty-space metrics is obtained, one member of this class being a natural generalization of the Schwarzschild metric. This latter metric contains one arbitrary parameter in addition to the mass. The entire class is the set of metrics which are algebraically specialized (contain multiple-principle null vectors) such that the propagation ...
Newman, E., Tamburino, L., Unti, T.
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THEORY OF A RULED TWO-SPACE IN A GENERALIZED METRIC SPACE
The Quarterly Journal of Mathematics, 1946Not ...
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Banach Fixed Point Theorems in Generalized Metric Space Endowed with the Hadamard Product
Symmetry, 2023Saleh Omran +2 more
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