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• W2313866495 abstract "ABSTRACTA new class of contractive mappings called pointwise asymptotically ϕ-strict pseudo-contractions in Hilbert spaces is introduced and weak convergence of the sequence generated by Mann's iterative scheme to a fixed point of a uniformly Lipschitzian and pointwise asymptotically ϕ-strict pseudo-contractive mapping T in a Hilbert space is established. Also, a new kind of monotone hybrid method which is a modification of Mann's iterative scheme for finding a common fixed point of an infinitely countable family of uniformly Lipschitzian and pointwise asymptotically ϕ-strict pseudo-contractive mappings is proposed. Strong convergence of the sequence generated by the proposedmonotone hybrid method for an infinitely countable family of uniformly Lipschitzian and pointwise asymptotically ϕ-strict pseudo-contractive mappings in a Hilbert space is also shown. The results presented in this article extend and improve some known results in the literature." @default.
• W2313866495 created "2016-06-24" @default.
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• W2313866495 date "2016-01-29" @default.
• W2313866495 modified "2023-09-26" @default.
• W2313866495 title "Convergence Theorems for Pointwise Asymptotically Strict Pseudo-Contractions in Hilbert Spaces" @default.
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• W2313866495 doi "https://doi.org/10.1080/01630563.2016.1144071" @default.
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