Results 1 to 10 of about 276 (165)

An implicit iterative algorithm with errors for two families of generalized asymptotically nonexpansive mappings [PDF]

Fixed Point Theory and Applications, 2011
In this paper, an implicit iterative algorithm with errors is considered for two families of generalized asymptotically nonexpansive mappings. Strong and weak convergence theorems of common fixed points are established based on the implicit iterative ...
Qin Xiaolong, Kang Shin, Agarwal Ravi
doaj   +3 more sources

Composite iterative schemes for maximal monotone operators in reflexive Banach spaces

Fixed Point Theory and Applications, 2011
In this article, we introduce composite iterative schemes for finding a zero point of a finite family of maximal monotone operators in a reflexive Banach space. Then, we prove strong convergence theorems by using a shrinking projection method.
Cho Yeol, Suantai Suthep, Cholamjiak Prasit   +2 more
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A look at nonexpansive mappings in non-Archimedean vector spaces

Moroccan Journal of Pure and Applied Analysis, 2021
In a spherically complete ultrametric space every nonexpansive self-mapping T has a fixed point ̄x or a minimal invariant ball B(̄x, d(̄x, T(̄x)). We show how we can approximate this fixed center ̄x in a non-Archimedean vector space.
Lazaiz Samih
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Some new fixed point theorems of α-partially nonexpansive mappings

Demonstratio Mathematica
In this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature.
Shukla Rahul
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Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces

Open Mathematics, 2021
We get the strong and Δ\Delta -convergence of the Picard-Krasnoselskii hybrid iteration scheme to a fixed point of a self-map endowed with the condition (Bγ,μ)\left({B}_{\gamma ,\mu }). We use the nonlinear context of CAT(0) spaces for establishing these
Ahmad Junaid, Ullah Kifayat, Arshad Muhammad, de la Sen Manuel, Ma Zhenhua   +4 more
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Existence of a common solution for a system of nonlinear integral equations via fixed point methods in b-metric spaces

Open Mathematics, 2016
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as ...
Yamaod Oratai, Sintunavarat Wutiphol, Je Cho Yeol   +2 more
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New contributions to best proximity theory using proximal projection operators in hyperbolic metric spaces

Demonstratio Mathematica
Let (E, F) be a nonempty pair subsets of a metric space (M, d) and let T:E∪F→E∪F $\mathcal{T} : E\cup F\to E\cup F$ be a noncyclic mapping, means that, T(E)⊆E,T(F)⊆F $\mathcal{T}\left(E\right)\subseteq E,\mathcal{T}\left(F\right)\subseteq F$ .
Gabeleh Moosa, Patle Pradip R., Aphane Maggei   +2 more
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A novel iterative process for numerical reckoning of fixed points via generalized nonlinear mappings with qualitative study

Demonstratio Mathematica
This manuscript is devoted to constructing a novel iterative scheme and reckoning of fixed points for generalized contraction mappings in hyperbolic spaces.
Ahmad Fayyaz, Ullah Kifayat, Ahmad Junaid, Hammad Hasanen A., George Reny   +4 more
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Cyclic pairs and common best proximity points in uniformly convex Banach spaces

Open Mathematics, 2017
In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa, Julia Mary P., Eldred Eldred A.Anthony, Olela Otafudu Olivier   +3 more
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On bivariate fractal interpolation for countable data and associated nonlinear fractal operator

Demonstratio Mathematica
Fractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar, Secelean Nicolae Adrian, Viswanathan Puthan Veedu   +2 more
doaj   +1 more source