Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of Lipschitz pseudocontractive mappings
نویسندگان
چکیده
منابع مشابه
Implicit Iteration Scheme with Perturbed Mapping for Common Fixed Points of a Finite Family of Lipschitz Pseudocontractive Mappings
Let E be a real Banach space, {Ti}i=1 be a finite family of continuous pseudocontractive self mappings of E and G : E → E be a mapping which is both δ -strongly accretive and λ -strictly pseudocontractive of Browder-Petryshyn type such that δ + λ 1 . We propose a new implicit iteration scheme with perturbed mapping G for the approximation of common fixed points of {Ti}i=1 . For an arbitrary ini...
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Let {Ti}i=1 be a finite family of nonexpansive self-maps of H . Denote the common fixed points set of {Ti}i=1 by ⋂N i=1 Fix(Ti). Let F : H → H be a mapping such that for some constants k,η > 0, F is k-Lipschitzian and η-strongly monotone. Let {αn}n=1 ⊂ (0,1), {λn}n=1 ⊂ [0,1) and take a fixed number μ ∈ (0,2η/k2). The iterative schemes concerning nonlinear operators have been studied extensively...
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ژورنال
عنوان ژورنال: Journal of Mathematical Inequalities
سال: 2007
ISSN: 1846-579X
DOI: 10.7153/jmi-01-22