Results 21 to 30 of about 90 (89)

Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems

open access: yesOpen Mathematics, 2022
In this paper, we study the problem of finding a common solution of the pseudomonotone variational inequality problem and fixed point problem for demicontractive mappings.
Uzor Victor Amarachi   +2 more
doaj   +1 more source

Syntheses of differential games and pseudo‐Riccati equations

open access: yesAbstract and Applied Analysis, Volume 7, Issue 2, Page 61-83, 2002., 2002
For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo‐Riccati equation has a regular solution P(t, x). Then the closed‐loop optimal strategies are given by u(t) = −R−1B∗P(t, x(t)), v(t) = −S−1C∗
Yuncheng You
wiley   +1 more source

Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type.
Balog Laszlo   +2 more
doaj   +1 more source

Numerical and Analytical Study of Mixed Generalized Cayley Variational Inclusions via Parallel S‐Iterations

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This article investigates the structure and analytical properties of a system of mixed generalized Cayley variational inclusion problems (CVIPs) involving logical operations in the context of positive real‐ordered Hilbert spaces. To achieve the optimal solution, a parallel Mann iteration process is introduced.
Arifuzzaman   +3 more
wiley   +1 more source

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

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

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

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

open access: yesFixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj  

Another weak convergence theorems for accretive mappings in banach spaces

open access: yesFixed Point Theory and Applications, 2011
We present two weak convergence theorems for inverse strongly accretive mappings in Banach spaces, which are supplements to the recent result of Aoyama et al. [Fixed Point Theory Appl. (2006), Art. ID 35390, 13pp.]. 2000 MSC: 47H10; 47J25.
Saejung Satit   +2 more
doaj  

On split common null point and common fixed point problems for multivalued demicontractive mappings

open access: yesDemonstratio Mathematica
In this paper, we study a new inertial algorithm for finding a common solution of the split common null point problem for two infinite families of maximal monotone operators and common fixed point problem for an infinite family of multivalued ...
Wang Yaqin, Zhang Yuanqin
doaj   +1 more source

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