Asymptotic fixed points for nonlinear contractions [PDF]
Fixed Point Theory and Applications, 2005 Recently, W. A. Kirk proved an asymptotic fixed point theorem for nonlinear contractions by using ultrafilter methods. In this paper, we prove his theorem under weaker assumptions. Furthermore, our proof does not use ultrafilter methods.
Chen Yong-Zhuo
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On Nonlinear Set-Valued $$\theta $$θ-Contractions
Bulletin of the Malaysian Mathematical Sciences Society, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Durmaz, Gonca, Altun, Ishak
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A non-linear approach to modelling of electrically stimulated skeletal muscle [PDF]
, 2001 This paper is concerned with the development and analysis of a nonlinear approach to modeling of the contraction of electrically stimulated skeletal muscle.
Gollee, H. +2 more
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Three-dimensional flow of Newtonian and Boger fluids in square-square contractions [PDF]
, 2009 The flow of a Newtonian fluid and a Boger fluid through sudden square–square contractions was investigated experimentally aiming to characterize the flow and provide quantitative data for benchmarking in a complex three-dimensional flow.
Sousa, P.C. +3 more
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Existence of a solution for a nonlinear integral equation by nonlinear contractions involving simulation function in partially ordered metric space [PDF]
, 2023 In a recent paper, Khojasteh et al. presented a new collection of simulation functions, said Z-contraction. This form of contraction generalizes the Banach contraction and makes different types of nonlinear contractions.
Shams, Maryam +4 more
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Nonlinear generalized cyclic contractions in complete G-metric spaces and applications to integral equations [PDF]
, 2013 In this paper we introduce generalized cyclic contractions in G-metric spaces and establish some fixed point theorems. The presented theorems extend and unify various known fixed point results. Examples are given in the support of these results.
Kadelburg, Zoran +1 more
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Semigroups of nonlinear contractions on convex sets
Journal of Functional Analysis, 1970 H Brezis, A Pazy
exaly +3 more sources
Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.
Godwin Amechi Okeke, Daniel Francis
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Fixed points of multivalued nonlinear F-contractions on complete metric spaces [PDF]
, 2016 We introduce a new concept for multivalued maps, also called multivalued nonlinear F-contraction, and give a fixed point result. Our result is a proper generalization of some recent fixed point theorems including the famous theorem of Klim and ...
Mınak, Gülhan +3 more
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Note on Nonlinear Contraction Semigroups [PDF]
Proceedings of the American Mathematical Society, 1969 1. Let X be a Banach space and let { F(£); 0^£< » } be a family of nonlinear operators from X into itself satisfying the following conditions: (i) T(0)=I (the identity) and T{£+7]) = T{£)T{v) for ?, t?^0. (ii) ||r(£)x-7X£);y||=g||x-3,|| for x, y EX. (iii) limj_o+ ||F(£)x — x|| =0 for xEX.
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