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An answer to a question of herings et al [PDF]
One answers to an open question of Herings et al. (2008), by proving that their fixed point theorem for discontinuous functions works for mappings defined on convex compact subset of $\R^n$, and not only polytopes. This fixed point theorem can be applied
Philippe Bich
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A fixed point theorem for analytic functions
Fixed Point Theory and Applications, 2005 We prove that each analytic self-map of the open unit disk which interpolates between certain n-tuples must have a fixed point.
Valentin Matache
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A fixed point theorem for contraction mappings
International Journal of Mathematics and Mathematical Sciences, 1982 Let S be a closed subset of a Banach space E and f:S→E be a strict contraction mapping. Suppose there exists a mapping h:S→(0,1] such that (1−h(x))x+h(x)f(x)∈S for each x∈S. Then for any x0∈S, the sequence {xn} in S defined by xn+1=(1−h(xn))xn+h(xn)f(xn),
V. M. Sehgal
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Some variants of Wardowski fixed point theorem
Advances in Difference Equations, 2021 The purpose of this paper is to consider some F-contraction mappings in a dualistic partial metric space and to provide sufficient related conditions for the existence of a fixed point.
Muhammad Nazam +5 more
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Spin and Charge Control of Topological End States in Chiral Graphene Nanoribbons on a 2D Ferromagnet
Advanced Materials, EarlyView.Chiral graphene nanoribbons on a ferromagnetic gadolinium‐gold surface alloy display tunable spin and charge states at their termini. Atomic work function variations and exchange fields enabe transitions between singlet, doublet, and triplet configurations.
Leonard Edens +8 more
wiley +1 more source
Nadler’s fixed point theorem in ν-generalized metric spaces
Fixed Point Theory and Applications, 2017 We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space.
Tomonari Suzuki
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Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Advanced Materials, EarlyView.Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
wiley +1 more source
Operator type expansion-compression fixed point theorem
Electronic Journal of Differential Equations, 2011 This article presents an alternative to the compression and expansion fixed point theorems of functional type by using operators and functions to replace the functionals and constants that are used in functional compression and expansion fixed point ...
Douglas R. Anderson +3 more
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Advanced Materials, EarlyView.Multiphase printable organohydrogels with tunable microstructures are developed to control molecular transport pathways for immiscible cargo. The tortuosity and domain size of the colloidal phases are tuned by adjusting temperature and shear during processing, which enables the tailoring of diffusion kinetics due to different transport pathways.
Riley E. Dowdy‐Green +4 more
wiley +1 more source
Fixed Point Theorem for Uncommuting Mappings
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.
Salwa S. Abd, Alaa Abd-ullah
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