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Hence, z* is locally convergence stable.
In other words, ym is locally convergence stable.
Hence, a strategy is locally convergence stable if d/ dz < 0 at z*, where is evaluated at δ = 0 before the derivation with respect to z is carried out.
A candidate ESS z* is locally convergence stable if > 0 at z < z* and < 0 at z > z*, so that selection brings a population expressing strategy z ≠ z* closer to z*.
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The conjecture on locally uniform convergence of the Green function for poles converging to the boundary was confirmed by Herbort [63] for pseudoconvex domains with (C^2) boundary (see also [23] for a slightly simplified proof).
Locally, such convergence often induces the upward movement of air, fostering the development of clouds.
However, it is hard for us to discuss the locally fast convergence of the proposed method.
Under the assumptions of differentiability and nonsingularity, locally superlinear convergence of the method is proved.
Remark 4.1 Compared with the proof of the locally superlinear convergence in literatures [15, 16], our conditions are weaker.
In order to investigate the locally fast convergence of this class of methods, we revise the proposed method.
Clunie and Sheil-Small [5] proved that the class (mathcal{H}) is a compact family (with respect to the topology of locally uniform convergence).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com