fixed point


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Related to fixed point: Fixed point number, Fixed point theorem

fixed point

n
1. (General Physics) physics a reproducible invariant temperature; the boiling point, freezing point, or triple point of a substance, such as water, that is used to calibrate a thermometer or define a temperature scale
2. (Mathematics) maths a point that is not moved by a given transformation
Translations
pevný bod
References in classic literature ?
What I think of on this point is, when self is the fixed point the centripetal force is balanced with the centrifugal.
The most simple and familiar portion of time, applicable to the subject was that of a year; and hence the doctrine has been inculcated by a laudable zeal, to erect some barrier against the gradual innovations of an unlimited government, that the advance towards tyranny was to be calculated by the distance of departure from the fixed point of annual elections.
They were to windward of the schooner, just ready to flirt the dory over the still sea, when sounds of woe half a mile off led them to Penn, who was careering around a fixed point, for all the world like a gigantic water-bug.
'You see, Mister O'Hara, I do not know what the deuce-an'- all I shall do when I find our sporting friends; but if you will kindly keep within sight of my umbrella, which is fine fixed point for cadastral survey, I shall feel much better.'
As she passed down the line, her light figure swinging from hand to hand in circles of increasing swiftness, the scarf flew off her head and stood out behind her shoulders, and Frome, at each turn, caught sight of her laughing panting lips, the cloud of dark hair about her forehead, and the dark eyes which seemed the only fixed points in a maze of flying lines.
In this paper, the main focus is to establish the existence of fixed point and common fixed point theorems of M-K type contraction for intuitionistic fuzzy set-valued maps in complete metric spaces.
Also, in [16] Alfuraidan and Khamsi gave an analogue version of Caristi's fixed point theorem in the setting of partially ordered metric space where the inequality holds only for comparable elements.
They unified some existing metric fixed point results.
If [g.sub.1] = [g.sub.2], then [g.sub.1] is a fixed point in [mathematical expression not reproducible] of B.
Many papers dealing with the above notions have been considered to prove fixed point results (e.g., see [7-25]).
The point (p, p) is a common fixed point of (7), if and only if p = s[pi]/3 for some s [member of] Z.