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The following example shows that the class of multivalued pseudocontractive-type mappings considered by Isiogugu [2] is not a subclass of the multivalued pseudocontractive mappings considered by Chidume et al. [4].
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It is not clear if Theorem 3.1 and Theorem 3.2 will still hold if the classes of pseudocontractive and k-strictly pseudocontractive mappings considered are replaced with the classes k-strictly pseudocontractive-type and pseudocontractive-type mappings, respectively, considered by Isiogugu [5].
Since then several classes of variational inequalities with fuzzy mappings were considered by Chang and Haung [15], Ding [30], Ding and Park [31], Haung [36], Kumam and Petrot [48], Noor [55] and Park and Jeong [56, 57] in Hilbert spaces.
Then T has a unique fixed point in C. Recently, the problems of convergence of an implicit iterative algorithm to a common fixed point for a family of nonexpansive mappings or pseudocontractive mappings have been considered by several authors, see [2 5].
Within the past 30 years, research on iterative approximation of common fixed points of nonexpansive mappings, asymptotically nonexpansive mappings and asymptotically quasi-nonexpansive mappings have been considered by many authors (see, for example, [1 20] and the references therein).
Recently, fixed point iterations of relatively nonexpansive mappings and hemirelatively nonexpansive mappings have been considered by many authors; see, for example [14 25] and the references therein.
This class of mappings has been considered by many authors; for example, [10, 11].
Recently, iterative algorithms for finding common fixed points of nonlinear mappings have been considered by many authors.
Recently, fixed point problems of nonexpansive mappings have been considered by many authors; see, for example, [7 16].
A number of extensions and generalizations of nonexpansive mappings have been considered by many mathematicians in recent years.
In recent years, the existence of common fixed points for a finite family of nonexpansive mappings has been considered by many authors (see [1 4] and the references therein).
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