Results 11 to 20 of about 75 (54)
Mathematics, 2022 The split feasibility problem (SFP) has many practical applications, which has attracted the attention of many authors. In this paper, we propose a different method to solve the SFP and the fixed-point problem involving quasi-nonexpansive mappings.
Yuanheng Wang +3 more
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Abstract and Applied Analysis, Volume 2022, Issue 1, 2022., 2022 In this paper, we introduce a proximal point algorithm for approximating a common solution of finite family of convex minimization problems and fixed point problems for k‐demicontractive mappings in complete CAT(0) spaces. We prove a strong convergence result and obtain other consequence results which generalize and extend some recent results in the ...
P. V. Ndlovu +3 more
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Multiple‐Sets Split Common Fixed‐Point Problems for Demicontractive Mappings
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 In this paper, we are concerned with the multiple‐sets split common fixed‐point problems whenever the involved mappings are demicontractive. We first study several properties of demicontractive mappings and particularly their connection with directed mappings. By making use of these properties, we propose some new iterative methods for solving multiple‐
Huanhuan Cui, Liya Liu
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Advances in Difference Equations, 2021 This paper deals with a split equality equilibrium problem for pseudomonotone bifunctions and a split equality hierarchical fixed point problem for nonexpansive and quasinonexpansive mappings.
Monairah Alansari
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Estimation of Newly Established Iterative Scheme for Generalized Nonexpansive Mappings
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 We introduce a new iterative method in this article, called the D iterative approach for fixed point approximation. Analytically, and also numerically, we demonstrate that our established D I.P is faster than the well‐known I.P of the prior art. Finally, in a uniformly convex Banach space environment, we present weak as well as strong convergence ...
Aftab Hussain +3 more
wiley +1 more source
African Scientific Reports, 2022 The paper analyzes the convergence of Ishikawa iteration to the fixed point of a class of '-quasinonexpansive mappings in uniformly convex Banach spaces, as well as the stability of the Ishikawa iteration used in approximating the fixed point.
F. D. Ajibade +3 more
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Mean convergence theorems with respect to attractive points in a Hilbert space [PDF]
, 2022 In this paper, we show a mean convergence theorem for a mapping with an attractive point in a Hilbert space by using a quasinonexpansive extension of the mapping and a mean convergence theorem for a quasinonexpansive ...
Aoyama, Koji, Toyoda, Masashi
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Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this article, we study the extended split equality problem and extended split equality fixed point problem, which are extensions of the convex feasibility problem. For solving the extended split equality problem, we present two self‐adaptive stepsize algorithms with internal perturbation projection and obtain the weak and the strong convergence of ...
Meixia Li +3 more
wiley +1 more source
Approximating Stationary Points of Multivalued Generalized Nonexpansive Mappings in Metric Spaces
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 In this research, under some appropriate conditions, we approximate stationary points of multivalued Suzuki mappings through the modified Agarwal‐O’Regan‐Sahu iteration process in the setting of 2‐uniformly convex hyperbolic spaces. We also provide an illustrative numerical example.
Kifayat Ullah +5 more
wiley +1 more source
A New Approximation Method for Common Fixed Points of a Finite Family of Generalized Asymptotically Quasinonexpansive Mappings in Banach Spaces [PDF]
Abstract and Applied Analysis, 2010 We introduce a new iterative scheme to approximate a common fixed point for a finite family of generalized asymptotically quasinonexpansive mappings. Several strong and weak convergence theorems of the proposed iteration in Banach spaces are established.
Yatakoat, Pornsak, Suantai, Suthep
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