Results 21 to 30 of about 75 (54)
Strongly quasinonexpansive mappings, II
, 2017 This paper is devoted to the study of strongly quasinonexpansive mappings in an abstract space and a Banach space.
Aoyama, Koji, Zembayashi, Kei
openaire +3 more sources
A quasinonexpansive extension of a mapping with an attractive point in a Hilbert space
, 2022 In this paper, we show that, under appropriate conditions, there exists a quasinonexpansive extension of a mapping with an attractive point in the sense of Takahashi and Takeuchi (2011) such that the fixed point set of the extension equals the attractive point set of the given mapping.
openaire +2 more sources
Journal of Function Spaces, Volume 2019, Issue 1, 2019., 2019 In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α‐nonexpansive mapping in an ordered Banach space. We establish some weak and strong convergence theorems of fixed point for monotone generalized α‐nonexpansive mapping in a uniformly convex Banach space with a partial order.
Yi-An Chen, Dao-Jun Wen, Tuncer Acar
wiley +1 more source
Fixed Point Theorems for an Elastic Nonlinear Mapping in Banach Spaces
Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015 Let E be a smooth Banach space with a norm ‖·‖. Let V(x, y) = ‖x‖2 + ‖y‖2 − 2 〈x, Jy〉 for any x, y ∈ E, where 〈·, ·〉 stands for the duality pair and J is the normalized duality mapping. We define a V‐strongly nonexpansive mapping by V(·, ·). This nonlinear mapping is nonexpansive in a Hilbert space.
Hiroko Manaka, Kyung Soo Kim
wiley +1 more source
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We introduce a unified general iterative method to approximate a fixed point of k‐strictly pseudononspreading mapping. Under some suitable conditions, we prove that the iterative sequence generated by the proposed method converges strongly to a fixed point of a k‐strictly pseudononspreading mapping with an idea of mean convergence, which also solves a ...
Dao-Jun Wen +3 more
wiley +1 more source
A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications [PDF]
Abstract and Applied Analysis, 2012 By using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT condition and the ∗AKTT condition imposed on the involved ...
openaire +3 more sources
Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We study Mann type iterative algorithms for finding fixed points of Bregman relatively nonexpansive mappings in Banach spaces. By exhibiting an example, we first show that the class of Bregman relatively nonexpansive mappings embraces properly the class of Bregman strongly nonexpansive mappings which was investigated by Martín‐Márques et al. (2013). We
Chin-Tzong Pang +3 more
wiley +1 more source
Strong Convergence Theorems for Quasi‐Bregman Nonexpansive Mappings in Reflexive Banach Spaces
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 We study a strong convergence for a common fixed point of a finite family of quasi‐Bregman nonexpansive mappings in the framework of real reflexive Banach spaces. As a consequence, convergence for a common fixed point of a finite family of Bergman relatively nonexpansive mappings is discussed.
Mohammed Ali Alghamdi +3 more
wiley +1 more source
Convergence Theorems for Right Bregman Strongly Nonexpansive Mappings in Reflexive Banach Spaces
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We prove a strong convergence theorem for a common fixed point of a finite family of right Bregman strongly nonexpansive mappings in the framework of real reflexive Banach spaces. Furthermore, we apply our method to approximate a common zero of a finite family of maximal monotone mappings and a solution of a finite family of convex feasibility problems
H. Zegeye, N. Shahzad, Rudong Chen
wiley +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this research, the modified subgradient extragradient method and K‐mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational ...
Sarawut Suwannaut, Erhan Güler
wiley +1 more source