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Picard sequences in b-metric spaces [PDF]
© 2020, House of the Book of Science. All rights reserved. The purpose of this article is to provide much simpler and shorter proofs of some important results in the framework of b-metric spaces. Namely, we show that the given contractive condition implies b-Cauchyness of the corresponding Picard sequence.
Aleksić, Suzana +2 more
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Multivalued fractals in b-metric spaces
Abstract Fractals and multivalued fractals play an important role in biology, quantum mechanics, computer graphics, dynamical systems, astronomy and astrophysics, geophysics, etc. Especially, there are important consequences of the iterated function (or multifunction) systems theory in several topics of applied sciences. It is known that
Boriceanu, Monica +2 more
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Rectangular cone b-metric spaces over Banach algebra and contraction principle
Rectangular cone b-metric spaces over a Banach algebra are introduced as a generalization of metric space and many of its generalizations. Some fixed point theorems are proved in this space and proper examples are provided to establish the validity and ...
Reny George +4 more
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Estimating the weight of metric minimum spanning trees in sublinear time [PDF]
In this paper we present a sublinear-time $(1+\varepsilon)$-approximation randomized algorithm to estimate the weight of the minimum spanning tree of an $n$-point metric space. The running time of the algorithm is $\widetilde{\mathcal{O}}(n/\varepsilon^{\
Christian Sohler +3 more
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Fixed Point Theory in b-convex Metric Spaces
b-metric spaces are a kind of generalized metric spaces,which have attracted extensive attention of scholars at home and abroad in recent years. In this paper,the convex structure is firstly introduced in b-metric spaces,and consequently the notion of ...
LI Chao-bo, CHEN Li-li
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Contractive conditions in b-metric spaces [PDF]
The purpose of this paper is to consider various contractive conditions in b-metric spaces which have been recently published. Our results improve and complement many recent results from this field. Using the recently obtained result by R. Miculescu and A.
Tatjana Dosenovic +2 more
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Cyclic Mappings and Further Results in B-Metric-Like Spaces
Fixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory.
Shengquan Weng +3 more
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06481 Abstracts Collection – Geometric Networks and Metric Space Embeddings [PDF]
The Dagstuhl Seminar 06481 ``Geometric Networks and Metric Space Embeddings'' was held from November~26 to December~1, 2006 in the International Conference and Research Center (IBFI), Schloss Dagstuhl.
Gudmundsson, Joachim +4 more
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On some new fixed point results in fuzzy b-metric spaces
This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space.
Dušan Rakić +4 more
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On a theorem of Ćirić in b-metric spaces
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karapınar, Erdal +3 more
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