Dynamics of Hilbert nonexpansive maps [PDF]
In his work on the foundations of geometry, Hilbert observed that a formula which appeared in works by Beltrami, Cayley, and Klein, gives rise to a complete metric on any bounded convex domain. Some decades later, Garrett Birkhoff and Hans Samelson noted that this metric has interesting applications, when considering certain maps of convex cones that ...
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Hybrid mixed type iteration scheme for asymptotically nonexpansive mappings and total asymptotically nonexpansive non-self mappings [PDF]
In this paper, we proposed a new two-step iteration scheme of hybrid mixed type for two asymptotically nonexpansive self mappings and two total asymptotically nonexpansive non-self mappings and establish some strong convergence theorems for mentioned ...
Saluja G.S.
doaj
In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings with a variational inequality constraint in the setting of a ...
Vasile Berinde, Khairul Saleh
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The modified split generalized equilibrium problem for quasi-nonexpansive mappings and applications. [PDF]
Cheawchan K, Kangtunyakarn A.
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Mann iteration for monotone nonexpansive mappings in ordered CAT(0) space with an application to integral equations. [PDF]
Uddin I, Garodia C, Nieto JJ.
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Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning. [PDF]
Brooke M, Censor Y, Gibali A.
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Convergence theorems for split feasibility problems on a finite sum of monotone operators and a family of nonexpansive mappings. [PDF]
Petrot N, Suwannaprapa M, Dadashi V.
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Fixed points of k-nonexpansive mappings
In this paper, we generalizes the notion of fundamentally nonexpansive mappings introduced in [Fixed Point Theory and Applications , 2014 (2014), Paper No. 76] to k-nonexpansive mappings. We investigate various properties associated with these mappings and demonstrate some existence and convergence results for k-nonexpansive mappings in the setting of ...
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A modified viscosity implicit-type proximal point algorithm for monotone inclusions and asymptotically nonexpansive mappings in Hadamard spaces. [PDF]
Chang SS, Yao JC, Wen CF, Wang L.
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The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces. [PDF]
Luo P, Cai G, Shehu Y.
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