Results 11 to 20 of about 1,124,791 (101)
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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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
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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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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
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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
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Billa Kalina [cartographic material] /
, 1948 Topographic map of Billa Kalina, South Australia. Relief shown by spot heights.; On verso: Mis.13079.; Also available in an electronic version via the internet at: http://nla.gov.au/nla.map ...
Australia. National Mapping Section.
core +3 more sources
Approximating fixed points of nonexpansive and generalized nonexpansive mappings
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper we consider a mapping S of the form S=α0I+α1T+α2T2+…+αKTK, where αi≥0. α1>0 with ∑i=0kαi=1, and show that in a uniformly convex Banach space the Picard iterates of S converge to a fixed point of T when T is nonexpansive or generalized ...
M. Maiti, B. Saha
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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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The System of Mixed Equilibrium Problems for Quasi-Nonexpansive Mappings in Hilbert Spaces
Journal of Applied Mathematics, 2012 We first introduce the iterative procedure to approximate a common element of the fixed-point set of two quasinonexpansive mappings and the solution set of the system of mixed equilibrium problem (SMEP) in a real Hilbert space.
Rabian Wangkeeree, Panatda Boonman
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