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Keywords = split equality convex minimization problem

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16 pages, 307 KiB  
Article
Approximation of the Solution of Split Equality Fixed Point Problem for Family of Multivalued Demicontractive Operators with Application
by Ismat Beg, Mujahid Abbas and Muhammad Waseem Asghar
Mathematics 2023, 11(4), 959; https://doi.org/10.3390/math11040959 - 13 Feb 2023
Cited by 1 | Viewed by 1386
Abstract
In this paper, a new viscosity type iterative algorithm is used for obtaining a strong convergence result of split equality fixed point solutions for infinite families of multivalued demicontractive mappings in real Hilbert spaces. Our iterative scheme is based on choosing the step-sizes [...] Read more.
In this paper, a new viscosity type iterative algorithm is used for obtaining a strong convergence result of split equality fixed point solutions for infinite families of multivalued demicontractive mappings in real Hilbert spaces. Our iterative scheme is based on choosing the step-sizes without calculating or estimating the operator norms and the condition of hemicompactness was relaxed to prove the strong convergence result. As an application, the solution of split convex minimization problem was approximated. The result presented herein unifies and extends several comparable results in the literature. Full article
15 pages, 246 KiB  
Article
Some Results for Split Equality Equilibrium Problems in Banach Spaces
by Zhaoli Ma, Lin Wang and Yeol Je Cho
Symmetry 2019, 11(2), 194; https://doi.org/10.3390/sym11020194 - 10 Feb 2019
Cited by 22 | Viewed by 2474
Abstract
In this paper, a new algorithm for finding a common element of a split equality fixed point problem for nonexpansive mappings and split equality equilibrium problem in three Banach spaces is introduced. Also, some strong and weak convergence theorems for the proposed algorithm [...] Read more.
In this paper, a new algorithm for finding a common element of a split equality fixed point problem for nonexpansive mappings and split equality equilibrium problem in three Banach spaces is introduced. Also, some strong and weak convergence theorems for the proposed algorithm are proved. Finally, the main results obtained in this paper are applied to solve the split equality convex minimization problem. Full article
(This article belongs to the Special Issue Fixed Point Theory and Fractional Calculus with Applications)
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