Results 31 to 40 of about 205,855 (287)
Reactive Navigation Under Non-Parametric Uncertainty Through Hilbert Space Embedding of Probabilistic Velocity Obstacles [PDF]
IEEE Robotics and Automation Letters, 2020 The probabilistic velocity obstacle (PVO) extends the concept of velocity obstacle (VO) to work in uncertain dynamic environments. In this paper, we show how a robust model predictive control (MPC) with PVO constraints under non-parametric uncertainty ...
SriSai Naga Jyotish Poonganam +5 more
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Fixed point theorems in metric spaces and probabilistic metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi′s fixed point theorem and Ekeland′s variational principle in metric spaces to probabilistic metric spaces.
Yeol Je Cho +2 more
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Probabilistic metric spaces and hysteresis systems [PDF]
Communications in Mathematical Physics, 1971 A phenomenological theory of simple hysteresis is constructed with the aid of certain concepts from the theory of probabilistic metric spaces. The predicted forms of the dependence of average energy loss per hysteresis cycle on the maximum excursion of the hysteresis coordinate agree well with experimental results.
Erber, T., Schweizer, B., Sklar, A.
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Sequential Completeness for ⊤-Quasi-Uniform Spaces and a Fixed Point Theorem
Mathematics, 2022 We define sequential completeness for ⊤-quasi-uniform spaces using Cauchy pair ⊤-sequences. We show that completeness implies sequential completeness and that for ⊤-uniform spaces with countable ⊤-uniform bases, completeness and sequential completeness ...
Gunther Jäger
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Multi-valued (ψ, φ, ε, λ)-contraction in probabilistic metric space
, 2012 In this article, we present a new definition of a class of contraction for multi-valued case. Also we prove some fixed point theorems for multivalued (ψ, φ, ε, λ)-contraction mappings in probabilistic metric space.
A. Beitollahi, P. Azhdari
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P-Cyclic C-Contraction Result in Menger Spaces Using a Control Function
Demonstratio Mathematica, 2016 The intrinsic flexibility of probabilistic metric spaces makes it possible to extend the idea of contraction mapping in several inequivalent ways, one of which being the C-contraction. Cyclic contractions are another type of contractions used extensively
Choudhury B. S., Bhandari S. K.
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Minimax theorems in probabilistic metric spaces [PDF]
Bulletin of the Australian Mathematical Society, 1995 In this paper, new minimax theorems for mixed lower-upper semicontinuous functions in probabilistic metric spaces are given. As applications, we utilise these results to show the existence of solutions of abstract variational inequalities, implicit variational inequalities and saddle point problems, and the existence of coincidence points in ...
Cho, Y. J. +4 more
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Axioms, 2023 The aim of this paper is to give some fixed point results in generalized Menger probabilistic metric spaces. Moreover, some nontrivial examples are presented to illustrate the superiority of the obtained results.
Huaping Huang +3 more
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Families of quasi-pseudo-metrics generated by probabilistic quasi-pseudo-metric spaces [PDF]
Surveys in Mathematics and its Applications, 2007 This paper contains a study of families of quasi-pseudo-metrics (the concept of a quasi-pseudo-metric was introduced by Wilson, Albert and Kelly) generated by probabilistic quasi-pseudo-metric-spaces which are generalization of probabilistic metric ...
Mariusz T. Grabiec +2 more
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A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems [PDF]
Sahand Communications in Mathematical AnalysisThe controlled strong probabilistic (fuzzy) $b$-metric space is a novel concept we introduce in this study. We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was
Youssef Achtoun +3 more
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