Search Results - Halpern-type algorithm

Convergence of a modified Halpern-type iteration algorithm for quasi- ϕ -nonexpansive mappings by Qin, Xiaolong, Cho, Yeol Je, Kang, Shin Min, Zhou, Haiyun

“…The purpose of this work is to modify the Halpern-type iteration algorithm to have strong convergence under a limit condition only in the framework of Banach spaces…”
Get full text

A modified halpern-type iteration algorithm for totally quasi- ϕ-asymptotically nonexpansive mappings with applications by Chang, S.S., Joseph Lee, H.W., Chan, Chi Kin, Zhang, W.B.

“…The purpose of this article is to modify the Halpern-type iteration algorithm for total quasi- ϕ…”
Get full text

Inertial Tseng’s method and Halpern-type algorithm for solving split variational inequality and fixed point problems by Araka, Nnamdi N., Ibeh, Kingsley O., Nwankwor, Nchedo M., Ofoedu, Eric U.

Get full text

Novel extended Halpern-type convergence algorithms for the split common fixed point problem involving α-demicontractive operators by Xu, H.-Y., Lan, H.-Y., Zhao, Y., Ye, Y.

“… Further, using Xu's inequality and Maingé's lemma, strong convergence theorems of the suggested algorithms are established under some mild conditions…”
Get full text

A modified Halpern-type iteration algorithm for quasi-ϕ -asymptotically nonexpansive mappings and applications by Tang, Yong Kun, Chang, Shih-sen, Wang, Lin, Zhao, Y. H., Chan, Chi Kin

“…The purpose of this article is to modify the Halpern-type iteration algorithm for quasi- ϕ…”
Get full text

A note on “Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings” by Su, Yongfu

“…In [C.O. Chidume, G. De Souza, Convergence of a Halpern-type iteration algorithm for a class of pseudocontractive mappings, Nonlinear Analysis (2007), doi:10.1016/j.na.2007.08.008…”
Get full text

An Averaged Halpern-Type Algorithm for Solving Fixed-Point Problems and Variational Inequality Problems by Berinde, Vasile, Saleh, Khairul

“…In this paper, we propose and study an averaged Halpern-type algorithm for approximating the solution of a common fixed-point problem for a couple of nonexpansive and demicontractive mappings…”
Get full text

A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds by He, Huimin, Peng, Jigen, Fan, Qinwei

“…In this paper, we propose a novel Halpern-type algorithm and prove that the sequence generated by the algorithm converges strongly to the common element of the set of fixed points of the two firmly…”
Get full text

A new modified Halpern-type splitting algorithm for solving monotone inclusion problems in reflexive Banach spaces by Chen, Lulu, Cai, Gang, Cholamjiak, Prasit, Inkrong, Papatsara

“…This paper mainly introduces a new modified Halpern-type splitting algorithm for solving the monotone inclusion problem in real reflexive Banach spaces…”
Get full text

An inertial Halpern-type algorithm involving monotone operators on real Banach spaces with application to image recovery problems by Muangchoo, Kanikar, Adamu, Abubakar, Ibrahim, Abdulkarim Hassan, Abubakar, Auwal Bala

“…In this work, an inertial Halpern-type algorithm involving monotone operators is proposed in the setting of real Banach spaces that are 2-uniformly convex and uniformly smooth…”
Get full text

Strong convergence of an inertial Halpern type algorithm in Banach spaces by Ranjbar, Sajad

“…In this article, we obtain the strong convergence of the new modified Halpern iteration process x n + 1 = α n u + ( 1 - α n ) T n P ( x n + θ n ( x n - x n - 1…”
Get full text

Strong convergence of an inertial Halpern type algorithm in Banach spaces by Ranjbar, Sajad

“…In this article, we obtain the strong convergence of the new modified Halpern iteration process x n + 1 = α n u + ( 1 - α n ) T n P ( x n + θ n ( x n - x n - 1…”
Get full text

Quantitative results on a Halpern-type proximal point algorithm by Leuştean, Laurenţiu, Pinto, Pedro

“…We apply proof mining methods to analyse a result of Boikanyo and Moroşanu on the strong convergence of a Halpern-type proximal point algorithm…”
Get full text

A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces by Zegeye, Habtu, Boikanyo, Oganeditse A.

“…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…”
Get full text

An inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces by Ma, Xiaojun, Liu, Hongwei

“…In this work, we introduce an inertial Halpern-type CQ algorithm for solving split feasibility problems in Hilbert spaces…”
Get full text

Halpern-type Bregman Projection Algorithms for Split Variational Inequality Problems by Liu, Liya, Li, Tiexiang, Qin, Xiaolong

“…The purpose of this paper is to investigate two Halpern-type Bregman projection algorithms with inertial factors and self-adaptive stepsizes for solving split variational inequality problems in real Hilbert spaces…”
Get full text

Inertial Halpern-type iterative algorithm for the generalized multiple-set split feasibility problem in Banach spaces by Eslamian, Mohammad

“… inclusion problem in 2-uniformly convex and uniformly smooth Banach spaces. We propose an inertial Halpern-type iterative algorithm for obtaining a solution of the problem and derive a strong convergence theorem for the algorithm…”
Get full text

Convergence analysis of a Halpern type algorithm for accretive operators by Yu, Youli

“…In this paper, we study the convergence of a Halpern type proximal point algorithm for accretive operators in Banach spaces…”
Get full text

A Rate of Metastability for the Halpern Type Proximal Point Algorithm by Pinto, Pedro

“…Using proof-theoretical techniques, we analyze a proof by Hong-Kun Xu regarding a result of strong convergence for the Halpern type proximal point algorithm…”
Get full text

On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space by Kohlenbach, Ulrich

“… of the proximal point algorithm PPA and its strongly convergent Halpern…”
Get full text