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As ( I, T ) is a pair of partially weakly increasing mappings, I f 2 n ≤ T ( I f 2 n ) and f 2 n − 1 ≤ T f 2 n − 1 = I f 2 n ≤ T ( I f 2 n ).
Hence, u is a common fixed point of f, g, S, and T. In the following result, we establish existence of a common fixed point for a pair of partially weakly increasing functions on an ordered metric space by using a control function r : R+ → R+.
The larger of a pair of partially remodeled houses owned by members of the Ozzy Osbourne family has sold in Hollywood Hills for $2 million.
: The heart of the Fabry Pérot interferometer is a pair of partially silvered glass optical flats spaced several millimeters to centimeters apart with the silvered surfaces facing each other.
A TIR IS element carries a pair of (partially conserved) inverted repeats at the two termini of an IS for cleavage and binding of the transposase, as shown in Figure 1 (a), while a non-TIR IS element) does not harbor significant signals around its termini.
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The iris has a pair of projections partially dividing the pupil into two, and the upper is effective for aerial vision, the lower for underwater vision.
A novel primer design method is described for site-directed fragment deletion, insertion, and substitution by PCR that is based on inverse PCR using a single pair of partially complementary primers.
A sloped edge combined with a drilled hole near the haunch tip, or a pair of stiffeners that partially or fully extended from the beam web, successfully prevented crack initiation at the haunch tip.
In this paper, we introduce a new contractive condition for a pair of commuting mappings in partially ordered G-metric spaces.
Inspired and motivated by the facts said above, in this paper we establish coupled coincidence point and coupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spaces.
In this paper, a new class of a pair of generalized nonlinear contractions on partially ordered partial metric spaces is introduced, and some coincidence and common fixed-point theorems for these contractions are proved.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com