Results 21 to 30 of about 1,043,898 (286)
Output contraction analysis of nonlinear systems
CoRR, 2023 This paper introduce the notion of output contraction that expands the contraction notion to the time-varying nonlinear systems with output. It pertains to the systems' property that any pair of outputs from the system converge to each other exponentially.
Hao Yin +2 more
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On fixed point results for alpha-implicit contractions in quasi-metric spaces and consequences
, 2016 In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces.
Aydi, Hassen +2 more
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Fixed points of dynamic processes of set-valued F-contractions and application to functional equations [PDF]
, 2015 The article is a continuation of the investigations concerning F-contractions which have been recently introduced in [Wardowski in Fixed Point Theory Appl. 2012:94,2012]. The authors extend the concept of F-contractive mappings to the case of nonlinear F-
Klim, Dorota +3 more
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Advances in Difference Equations, 2021 In this paper, we introduce a new structure of the generalized multi-point thermostat control model motivated by its standard model. By presenting integral solution of this boundary problem, the existence property along with the uniqueness property are ...
Sina Etemad +5 more
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Fixed point theorems for weakly beta-admissible pair of F-contractions with application [PDF]
, 2019 In this paper, we introduce a new set Fsb of nonlinear functions. We obtain unique common fixed point theorems for (β; F)-weak contractions under the effect of functions from Fsb. Moreover, we deduce new common fixed point results in ordered ...
Hussain, Nawab +3 more
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Contractions of 2D 2nd Order Quantum Superintegrable Systems and the Askey Scheme for Hypergeometric Orthogonal Polynomials [PDF]
, 2013 We show explicitly that all 2nd order superintegrable systems in 2 dimensions are limiting cases of a single system: the generic 3-parameter potential on the 2-sphere, S9 in our listing.
Willard Miller Jr. +8 more
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On weakly nonlinear contractions [PDF]
Kodai Mathematical Journal, 1983 The author generalizes some known fixed point theorems to cone-valued metric spaces. The main theorem reads as follows: Theorem. Let \((X,d)\) be a complete, convex, \(K\)-metric space (where \(K\) denotes a strongly normed cone in a reflexive Banach space \(E\)) and \(S\) a non-empty closed subset of \(X\) such that for each \(x\in S\), there exists ...
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Factorizations and partial contraction of nonlinear systems [PDF]
Proceedings of the 2010 American Control Conference, 2010 In this paper, we introduce new results in the analysis of convergence of nonlinear systems. The point of view we take is the one of contraction theory and we focus in particular on convergence to smooth manifolds. A main characteristic of contraction theory is that it does not require nor use any knowledge about the asymptotic trajectory of the system.
Slotine, Jean-Jacques E. +1 more
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Some Fixed Point Results for Perov-Ćirić-Prešić Type F-Contractions with Application
Journal of Function Spaces, 2020 Ćirić and Prešić developed the concept of Prešić contraction to Ćirić-Prešić type contractive mappings in the background of a metric space. On the other hand, Altun and Olgun introduced Perov type F-contractions.
Abdolsattar Gholidahneh +2 more
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Coincidence theorems for nonlinear hybrid contractions
International Journal of Mathematics and Mathematical Sciences, 1997 In this paper, we give some common fixed point theorems for single-valued mappings and multi-valued mappings satisfying a rational inequality. Our theorems generalize some results of B. Fisher, M. L. Diviccaro et al. and V. Popa.
Y. J. Cho, B. Fisher, G. S. Genga
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