Results 11 to 20 of about 184,969 (228)
Noncyclic contractions and relatively nonexpansive mappings in strictly convex fuzzy metric spaces
AIMS Mathematics, 2022 A concept of fuzzy projection operator is introduced and use to investigate the non-emptiness of the fuzzy proximal pairs. We then consider the classes of noncyclic contractions and noncyclic relatively nonexpansive mappings and survey the existence of ...
Moosa Gabeleh +2 more
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Mann Iterative Algorithm in Convex Metric Spaces Endowed with a Directed Graph
Journal of Harbin University of Science and Technology, 2021 Compared to the general metric space, the metric space endowed with a directed graph is more complex in space structure, and the directed graph itself does not have a linear structure, and it is relatively difficult to explore the problems of the fixed ...
YANGNi, CHENLili
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Rectangular Gb-Metric Spaces and Some Fixed Point Theorems
Axioms, 2022 In this paper, we first introduce the concept of rectangular Gb-metric space which generalizes the notion of rectangular metric space and Gb-metric space.
Chaobo Li, Yunan Cui
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Reverse Furthest Neighbor Query Method Based on Improved Metric Index [PDF]
Jisuanji gongcheng, 2017 When using PIV algorithm to build a Metric index,it is needed to calculate the distance between the convex hull vertices and all the data points in the convex hull.When the data set is large,this wastes storage space and increases the consumption of ...
YANG Xiujuan,DONG Jun,LI Huihui,YUAN Yanzhong,CHEN Xiaodan
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Continuous Selections in α-Convex Metric Spaces [PDF]
Bulletin of the Polish Academy of Sciences Mathematics, 2004 Un espace métrique \((Y,d)\) est appelé \(\alpha\)-convexe s'il existe une fonction continue \(\alpha:Y\times Y\times [0,1]\to Y\) vérifiant (i) \(\alpha(y,y,t)=y\), (ii) \(\alpha(y_1,y_2,0)=y_1\) et \(\alpha(y_1,y_2,1)=y_2\), (iii) il existe \(r>0\) tel que, pour tout ...
DE BLASI, FRANCESCO SAVERIO +1 more
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Convexity and Geodesic Metric Spaces
Mathematical Researches, 2021 In this paper, we first present a preliminary study on metric segments and geodesics in metric spaces. Then we recall the concept of d-convexity of sets and functions in the sense of Menger and study some properties of d-convex sets and d-convex functions as well as extreme points and faces of d-convex sets in normed spaces.
Sajad Ranjbar +2 more
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Note on Common Fixed Point Theorems in Convex Metric Spaces
Axioms, 2021 In the present paper, we pointed out that there is a gap in the proof of the main result of Rouzkard et al. (The Bulletin of the Belgian Mathematical Society 2012).
Anil Kumar, Aysegul Tas
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Applied General Topology, 2003 We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost convex metric space, is an absolute retract. Dense subspaces of normed linear spaces are examples of, not necessarily connected, almost convex metric spaces ...
Camillo Constantini, Wieslaw Kubís
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Geometric construction of viral genome space and its applications
Computational and Structural Biotechnology Journal, 2021 Understanding the relationships between genomic sequences is essential to the classification and characterization of living beings. The classes and characteristics of an organism can be identified in the corresponding genome space.
Nan Sun +5 more
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Fractional convex type contraction with solution of fractional differential equation
AIMS Mathematics, 2020 The focus of this paper is to present a new idea of fractional convex type contraction and establish some new results for such contraction under the improved approach of fractional convex type contractive condition in the context of $\mathcal{F ...
Aftab Hussain
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