Results 51 to 60 of about 287 (164)

Generalized implicit viscosity approximation method for multivalued mappings in CAT(0) spaces

open access: yesDemonstratio Mathematica, 2019
We prove strong convergence of the sequence generated by implicit viscosity approximation method involving a multivalued nonexpansive mapping in framework of CAT(0) space.
Abbas Mujahid   +2 more
doaj   +1 more source

Convergence of a New Two-Step Iteration with Errors in the Class of Zamfirscu Operator [PDF]

open access: yes, 2020
: In this paper, we establish a convergence theorem to approximate common fixed points of Zamfirscu operator on a normed space with new two-step iteration process with errors.
Mohammed Al Sayer
core  

Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in hilbert spaces [PDF]

open access: yes, 2011
We design synchronal algorithm and cyclic algorithm based on the general iterative algorithm proposed by Tian in 2010 for finding the common fixed point x* of finite family of strict pseudo-contractive mappings which is the solution of the variational ...
Ming Tian   +3 more
core   +1 more source

A New Resolvent‐Based Method for Solving Generalized Variational Inclusions and Its Application to Image Deblurring

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer   +3 more
wiley   +1 more source

Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems

open access: yes
Hybrid extragradient-like approximation method, Variational inequality, Fixed point, Monotone mapping, Nonexpansive mapping, Demiclosedness principle, 47J20, 47H09,
Nicolas Hadjisavvas   +2 more
core   +1 more source

A look at nonexpansive mappings in non-Archimedean vector spaces

open access: yesMoroccan 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
doaj   +1 more source

Equivalence Class Characterizations of Near Fixed Points and Interval Ellipses in Coupled Metric and G‐Metric Spaces With Applications

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we suggest a rigorous equivalence class description of interval ellipses and near fixed points in coupled metric and G‐metric spaces with applications. In both metric and G‐metric frameworks, we prove that the equivalence classes formed by the division of near fixed points naturally reflect their convergence to underlying fixed points ...
G. Sudhaamsh Mohan Reddy   +3 more
wiley   +1 more source

A Dynamical Systems Approach to Generalized Cayley Inclusion Problem and Convergence Rate Comparison of Iterative Algorithms

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper studies a generalized Cayley inclusion problem governed by a K·,·‐co‐monotone mapping in a real Hilbert space. We show that the proposed inclusion problem can be equivalently reformulated as a fixed‐point problem. Exploiting this equivalence, an inertial extrapolation algorithm is developed to compute solutions of the generalized Cayley ...
Mohd Aftab Alam   +3 more
wiley   +1 more source

Some new fixed point theorems of α-partially nonexpansive mappings

open access: yesDemonstratio 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
doaj   +1 more source

Convergence results on Picard-Krasnoselskii hybrid iterative process in CAT(0) spaces

open access: yesOpen 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   +4 more
doaj   +1 more source

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