Results 21 to 30 of about 118,963 (173)

Weak and Strong Convergence Theorems for the Inclusion Problem and the Fixed-Point Problem of Nonexpansive Mappings

Mathematics, 2019
In this work, we study the inclusion problem of the sum of two monotone operators and the fixed-point problem of nonexpansive mappings in Hilbert spaces. We prove the weak and strong convergence theorems under some weakened conditions.
Prasit Cholamjiak, Suparat Kesornprom, Nattawut Pholasa   +2 more
doaj   +1 more source

An Inertial Method for Split Common Fixed Point Problems in Hilbert Spaces

Journal of Mathematics, 2021
In this paper, we consider the split common fixed point problem in Hilbert spaces. By using the inertial technique, we propose a new algorithm for solving the problem. Under some mild conditions, we establish two weak convergence theorems of the proposed
Haixia Zhang, Huanhuan Cui
doaj   +1 more source

On the Cauchy problem for semilinear elliptic equations [PDF]

, 2016
We study the Cauchy problem for non-linear (semilinear) elliptic partial differential equations in Hilbert spaces. The problem is severely ill-posed in the sense of Hadamard.
Binh, TT, Lesnic, D, Taun, NH, Viet, TQ
core   +1 more source

Weak homoclinic solutions of anisotropic discrete nonlinear system with variable exponent

Nonautonomous Dynamical Systems, 2020
We prove the existence of weak solutions for an anisotropic homoclinic discrete nonlinear system. Suitable Hilbert spaces and norms are constructed. The proof of the main result is based on a minimization method.
Ibrango Idrissa, Sanou Rodrigue, Koné Blaise, Guiro Aboudramane   +3 more
doaj   +1 more source

Hybrid Gradient-Projection Algorithm for Solving Constrained Convex Minimization Problems with Generalized Mixed Equilibrium Problems

Journal of Function Spaces and Applications, 2012
It is well known that the gradient-projection algorithm (GPA) for solving constrained convex minimization problems has been proven to have only weak convergence unless the underlying Hilbert space is finite dimensional.
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +1 more source

A new subgradient extragradient method for solving the split modified system of variational inequality problems and fixed point problem

Journal of Inequalities and Applications, 2022
We introduce a new subgradient extragradient algorithm utilizing the concept of the set of solutions of the split modified system of variational inequality problems (SMSVIP).
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +1 more source

Weak and Strong Convergence Theorems for Common Attractive Points of Widely More Generalized Hybrid Mappings in Hilbert Spaces

Mathematics, 2021
In this work, we study iterative methods for the approximation of common attractive points of two widely more generalized hybrid mappings in Hilbert spaces and obtain weak and strong convergence theorems without assuming the closedness for the domain.
Panadda Thongpaen, Attapol Kaewkhao, Narawadee Phudolsitthiphat, Suthep Suantai, Warunun Inthakon   +4 more
doaj   +1 more source

On a Time Symmetric Formulation of Quantum Mechanics [PDF]

, 1995
We explore further the suggestion to describe a pre- and post-selected system by a two-state, which is determined by two conditions. Starting with a formal definition of a two-state Hilbert space and basic operations, we systematically recast the basics ...
A. M. Steinberg, B. Reznik, F. Englert, L. Vaidman, M. Gell-Mann, R. B. Griffiths, W. G. Unruh, W. G. Unruh, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov, Y. Aharonov   +19 more
core   +2 more sources

Extension and Application of the Yamada Iteration Algorithm in Hilbert Spaces

Mathematics, 2019
In this paper, based on the Yamada iteration, we propose an iteration algorithm to find a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse strongly-monotone mapping.
Ming Tian, Meng-Ying Tong
doaj   +1 more source

On solving pseudomonotone equilibrium problems via two new extragradient-type methods under convex constraints

Demonstratio Mathematica, 2022
The primary objective of this study is to develop two new proximal-type algorithms for solving equilibrium problems in real Hilbert space. Both new algorithms are analogous to the well-known two-step extragradient algorithm for solving the variational ...
Khunpanuk Chainarong, Pakkaranang Nuttapol, Pholasa Nattawut   +2 more
doaj   +1 more source