Results 1 to 10 of about 811 (104)

Viscosity Approximation for Split Equality Generalized Mixed Equilibrium Problems With Semigroups of Nonexpansive Mappings

Abstract and Applied Analysis
MSC2010 Classification: Primary 47H10, 47H09, 47J05, 47J25 ...
Prashant Patel, Rahul Shukla
doaj   +2 more sources

Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]

SIAM Journal on Optimization, 2021
Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
S. Alwadani, Heinz H. Bauschke, Xianfu Wang   +2 more
semanticscholar   +1 more source

Strong Convergence Theorem for Finite Family of Asymptotically Nonexpansive in the Intermediate Sense Nonself Maps

European Journal of Theoretical and Applied Sciences, 2023
Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P. Let Ti: K → X (i= 1,...,m) be a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense maps with a nonempty common fixed points ...
A. Nnubia, Nkiruka Maria-Assumpta Akabuike, C. Moore   +2 more
semanticscholar   +1 more source

On a version of hybrid existence result for a system of nonlinear equations

Advanced Nonlinear Studies, 2023
By combining monotonicity theory related to the parametric version of the Browder-Minty theorem with fixed point arguments, hybrid existence results for a system of two operator equations are obtained. Applications are given to a system of boundary value
Bełdziński Michał, Galewski Marek, Kossowski Igor   +2 more
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

Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings

Demonstratio Mathematica, 2021
In this paper, we introduce a shrinking projection method of an inertial type with self-adaptive step size for finding a common element of the set of solutions of a split generalized equilibrium problem and the set of common fixed points of a countable ...
Olona Musa A., Alakoya Timilehin O., Owolabi Abd-semii O.-E., Mewomo Oluwatosin T.   +3 more
doaj   +1 more source

Convergence analysis of M-iteration for 𝒢-nonexpansive mappings with directed graphs applicable in image deblurring and signal recovering problems

Demonstratio Mathematica, 2023
In this article, weak and strong convergence theorems of the M-iteration method for 𝒢-nonexpansive mapping in a uniformly convex Banach space with a directed graph were established.
Chairatsiripong Chonjaroen, Yambangwai Damrongsak, Thianwan Tanakit   +2 more
doaj   +1 more source

Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces

Topological Algebra and its Applications, 2022
In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces.
Abass H.A., Jolaoso L. O., Mewomo O. T.
doaj   +1 more source

A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces

Topological Algebra and its Applications, 2023
In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f ...
Zegeye Habtu, Boikanyo Oganeditse A.
doaj   +1 more source

Iterative methods for the split common fixed point problem in Hilbert spaces [PDF]

, 2014
The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear operator belongs to another fixed point set.
Huanhuan Cui, Fenghui Wang
semanticscholar   +1 more source