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Nonexpansive mapping
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Lau and Mah showed that a Fourier-Stieltjes algebra B(G) on a separable compact group G has the weak fixed point property, i.e. every nonexpansive mapping on a weak compact convex subset of B(G) has a fixed point. We extend this result by showing that a similar fixed point property holds for norm continuous and asymptotically nonexpansive mappings.
6p
viberkshire
09-08-2023
4
3
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Recently, due to the influence of business management, the concepts of management and administration are used arbitrarily. This gives rise to many misunderstandings in management, leadership and administration.
9p
viharry
15-12-2022
8
2
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In this paper, we discuss several extragradient-like algorithms for solving variational inequalities over the fixed point set of a nonexpansive mapping. The considered methods are based on some existing ones.
9p
vimelindagates
18-07-2022
7
3
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The split variational inequality problem (SVIP) was first introduced by Censor et al. Up to now, there is a long list of works concerning algorithms to solve (SVIP). In this paper, we study the split variational inequality problem in Hilbert spaces. In order to solve this problem, we propose a self-adaptive algorithm.
9p
viirenerosenfeld
02-06-2022
13
1
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The purpose of this paper is to combine the Bregman distance with the shrinking projection method to introduce a new hybrid iteration process for a generalized mixed equilibrium problem and a Bregman totally quasi-asymptotically nonexpansive mapping.
17p
viellenkullman
16-05-2022
11
1
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In this paper, we propose an iterative method for approximating the solution of the bilevel problem. This method bases on the result presented by Tran Viet Anh and Le Dung Muu in 2016, which is a combination between the projection method for variational inequality and the Krasnoselskii–Mann scheme for fixed points of nonexpansive mappings. The strong convergence of the method is proven. We close the paper by considering an example to illustrate the strong convergence of method.
10p
nguaconbaynhay12
13-06-2021
26
1
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In this paper, we prove the convergence of Mann iteration to fixed points of ( , )- nonexpansive and strictly pseudo-contractive mappings in p L spaces. In addition, by using the obtained results, we state the convergence of Mann iteration to solutions of the nonlinear integral equations.
7p
nguaconbaynhay12
03-06-2021
7
1
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It is the objective of this paper to prove some xed point theorems for multivalued mappings. Among other things, we extend Theorem 1.3 to nonself-mappings. Also a simple proof of Theorem 1.3 is presented. Moreover, we give an armative answer to a question of Deimling. A negative answer to a question of Downing and Kirk is included as well.
14p
larachdumlanat127
20-12-2020
7
2
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In this paper, by combining the shrinking projection method with a modified inertial Siteration process, we introduce a new inertial hybrid iteration for two asymptotically Gnonexpansive mappings and a new inertial hybrid iteration for two G-nonexpansive mappings in Hilbert spaces with graphs. We establish a sufficient condition for the closedness and convexity of the set of fixed points of asymptotically G-nonexpansive mappings in Hilbert spaces with graphs.
13p
caygaocaolon6
22-07-2020
13
2
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The research introduces CR-iteration process and establishes some results about the weak and strong convergence of CR-iteration process to common fixed points of three G-nonexpansive mappings in uniformly convex Banach spaces with graphs. In addition, a numerical example is provided to illustrate for the convergence of CR-iteration process to common fixed points three Gnonexpansive mappings.
15p
vicross2711
20-06-2019
17
1
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In this paper, we introduce a new iteration method, that is a combination of the hybrid steepestdescent method with two-step iteration method of linearization, for finding a minimizer of a convex differentiable functional over the fixed point set of a nonexpansive mapping in Hilbert spaces. Key words: Metric projection, Fixed point, Nonexpansive Mappings.
4p
cumeo2425
02-07-2018
32
1
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Suppose C is a nonempty closed convex nonexpansive retract of real uniformly convex Banach space X with P a nonexpansive retraction. Let T : C → X be a nonexpansive nonself-mapping of C with F(T) := {x ∈ C : T x = x} 6= ∅. Suppose {xn} is generated iteratively by x1 ∈ C.
10p
cumeo2425
02-07-2018
17
1
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In this paper, we introduce a new implicit shrinking algorithm for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed points of a countable family of relatively nonexpansive mappings in the framework of Banach spaces. Our results are refinement as well as generalization of several well-known results in the current literature. As a consequence, we give some applications for solving variational inequality problems and convex minimization problems in Banach spaces.
7p
doctorstrange1
21-06-2018
34
1
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: STRONG CONVERGENCE THEOREMS FOR INFINITE FAMILIES OF NONEXPANSIVE MAPPINGS IN GENERAL BANACH SPACES
21p
sting11
10-03-2012
32
5
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: CONVERGENCE THEOREMS FOR A COMMON FIXED POINT OF A FINITE FAMILY OF NONSELF NONEXPANSIVE MAPPINGS
9p
sting11
10-03-2012
39
2
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: ITERATIVE SCHEMES WITH SOME CONTROL CONDITIONS FOR A FAMILY OF FINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES
11p
sting11
10-03-2012
39
3
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: WEAK AND STRONG CONVERGENCE THEOREMS FOR RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES
11p
sting11
10-03-2012
48
2
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: QUADRATIC OPTIMIZATION OF FIXED POINTS FOR A FAMILY OF NONEXPANSIVE MAPPINGS IN HILBERT SPACE
13p
sting11
10-03-2012
30
2
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: BROWDER’S TYPE STRONG CONVERGENCE THEOREMS FOR INFINITE FAMILIES OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
16p
sting11
09-03-2012
33
3
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: NOTE ON SOME RESULTS FOR ASYMPTOTICALLY PSEUDOCONTRACTIVE MAPPINGS AND ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
7p
sting11
09-03-2012
39
3
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