Path Convergence and Approximation of Common Zeroes of a Finite Family ofm-Accretive Mappings in Banach Spaces
Keyword(s):
LetEbe a real Banach space which is uniformly smooth and uniformly convex. LetKbe a nonempty, closed, and convex sunny nonexpansive retract ofE, whereQis the sunny nonexpansive retraction. IfEadmits weakly sequentially continuous duality mappingj, path convergence is proved for a nonexpansive mappingT:K→K. As an application, we prove strong convergence theorem for common zeroes of a finite family ofm-accretive mappings ofKtoE. As a consequence, an iterative scheme is constructed to converge to a common fixed point (assuming existence) of a finite family of pseudocontractive mappings fromKtoEunder certain mild conditions.
2011 ◽
Vol 2011
◽
pp. 1-18
2011 ◽
Vol 2011
◽
pp. 1-23
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2011 ◽
Vol 2011
◽
pp. 1-18
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2017 ◽
Vol 41
(2)
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pp. 205-209
2011 ◽
Vol 50-51
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pp. 718-722