Inexact Halpern-type proximal point algorithm
Proximal point algorithm, prox-Tikhonov algorithm, Monotone operator, Control conditions, Strong convergence, Convex function, Minimizer, Minimum value, 47J25, 47H05, 47H09,
O. Boikanyo, G. Moroşanu
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Some applications of Maia\u27s fixed point theorem for Fredholm integral equation systems
, 2022 The aim of this paper is to study the existence and uniqueness of solutions for some Fredholm integral equation systems by applying the vectorial form of Maia’s fixed point theorem.
FILIP, Alexandru-Darius
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The general iterative methods for nonexpansive mappings in Banach spaces
Iterative approximation method, Nonexpansive mapping, Strong convergence theorem, Banach space, Common fixed point, 47H05, 47H09, 47J25, 65J15,
Narin Petrot +2 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 +3 more
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Transsynaptic mapping of Drosophila mushroom body output neurons. [PDF]
Elife, 2021 Scaplen KM +7 more
europepmc +1 more source
Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces [PDF]
, 2011 We use strongly pseudocontractions to regularize a class of accretive variational inequalities in Banach spaces, where the accretive operators are complements of pseudocontractions and the solutions are sought in the set of fixed points of another ...
Wang Yaqin +3 more
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On bivariate fractal interpolation for countable data and associated nonlinear fractal operator
Demonstratio MathematicaFractal 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 +2 more
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Comments on the cosmic convergence of nonexpansive maps. [PDF]
J Fixed Point Theory Appl, 2021 Gutiérrez AW, Karlsson A.
europepmc +1 more source
Banach operator pairs and common fixed points in modular function spaces [PDF]
, 2011 In this article, we introduce the concept of a Banach operator pair in the setting of modular function spaces. We prove some common fixed point results for such type of operators satisfying a more general condition of nonexpansiveness.
MA Khamsi, A Latif, N Hussain
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On a generalized Krasnoselskii fixed point theorem
Open MathematicsThis study concerns a Krasnoselskii-type fixed point theorem for the sum of two operators A,BA,B in a Banach space EE, where BB is a Reich-type contractive mapping and AA is a k-set contractive mapping.
Pham Hien Van
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