Results 91 to 100 of about 741 (181)

From linear to metric functional analysis. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Karlsson A.
europepmc   +1 more source

Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces

open access: yesInternational Journal of Analysis and Applications, 2015
In this paper, we study hybrid fixed point of a modified two-step iteration process with errors for a pair of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach ...
G. S. Saluja
doaj   +2 more sources

An Averaged Halpern-Type Algorithm for Solving Fixed-Point Problems and Variational Inequality Problems

open access: yesAxioms
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
doaj   +1 more source

Fixed points of k-nonexpansive mappings

open access: yesMathematica Moravica
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 ...
openaire   +2 more sources

Weak and Strong Convergence of an Implicit Iteration Process for an Asymptotically Quasi- -Nonexpansive Mapping in Banach Space

open access: yesFixed Point Theory and Applications, 2010
We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi- -nonexpansive mapping and an asymptotically quasi-nonexpansive mapping , defined on a nonempty closed convex subset of a ...
Mukhamedov Farrukh, Saburov Mansoor
doaj  

Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings

open access: yesFixed Point Theory and Applications, 2011
A new general iterative method for finding a common element of the set of solutions of variational inequality and the set of common fixed points of a countable family of nonexpansive mappings is introduced and studied. A strong convergence theorem of the
Suantai Suthep, Bunyawat Aunyarat
doaj  

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