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Listen to them without interrupting, he says, and then "show you understand their situation by finding common points of frustration".
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In this paper, a modified proximal point algorithm for finding common fixed points of averaged self-mappings in Hilbert spaces is introduced and a strong convergence theorem associated with it is proved.
They proved that {x n } generated by (1.4) converges strongly to a fixed point of T. Very recently, Kimura and Nakajo [15] investigated iterative schemes for finding common fixed points of a family of nonexpansive mappings and proved strong convergence theorems by using the Mosco convergence technique in a uniformly convex and smooth Banach space.
The problem of finding common fixed points has been extensively studied by mathematicians.
Next, we consider the problem of finding common fixed points of three strict pseudocontractions.
We next study the problem of finding common fixed points of sequences of nonexpansive mappings; see Corollary 5.3.
Recently, iterative algorithms for finding common fixed points of nonlinear mappings have been considered by many authors.
In [46], Reich and Sabach introduced iterative algorithms for finding common fixed points of finitely many Bregman strongly nonexpansive operators in a reflexive Banach space.
In this paper, we are concerned with the problem of finding common zero points of a finite family of accretive operators in a reflexive Banach space.
The asymptotic approach for finding common fixed points of semigroups of Lipschitzian (but not pointwise Lipschitzian) mappings has also been investigated, see, e.g., Tan and Xu [9].
Then Theorem 3.3 is reduced to Theorem 1.1 in Section 1. Third, we consider the problem of finding common fixed points of three strict pseudocontractions.
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