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The above framework is useful for examples of composed functions, multi-parameterizations of dynamic systems, and so forth involving mappings with some kind of switching.
for all where is a nonempty closed convex subset of a Banach space; is a sequence in and is a sequence of nonexpansive mappings with some condition.
In this paper, we obtain some fixed point results for generalized weakly contractive mappings with some auxiliary functions in the framework of b-metric spaces.
Recently, for the sequence of nonexpansive mappings with some special conditions, Aoyama et al. [1] studied the strong convergence of the following modified version of Halpern iteration for : (112).
After over two decades, Ran and Reurings [3] proved a slightly more natural version of the corresponding fixed point theorems of Turinici (cf. [1, 2]) for continuous monotone mappings with some applications to matrix equations.
Later, Ran and Reurings [4] proved a slightly more natural version of the corresponding fixed point theorems of Turinici (cf. [2, 3]) for continuous monotone mappings with some applications to matrix equations.
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The performances of the developed models have been tested for both forward and reverse mappings with the help of some test cases collected through the real experiments.
After that, based on the work of Huang and Zhang [7], the fixed point results of some mappings with certain contractive property on cone metric spaces appeared like mushrooms after rain (see [8 14] and the references therein and [15 23]).
Another 33% reads have multiple pseudogenome mappings with one mapping better than the rest, so they are filtered by quality score.
To overcome this drawback, inspired by the method studied by Yamada et al. [25, 26], Maingé [20] and Kraikaew et al. [21], we investigate a more general variant of the scheme proposed by Maingé [20], Kraikaew et al. [21] to replace the projection by some suitable mappings with a nice fixed point set.
Let be a maximal monotone mapping, be a nonexpansive mappings with.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com