A Picard-type iterative algorithm for general variational inequalities and nonexpansive mappings
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-019-00706-w
Abstract: In this paper, a normal S-iterative algorithm is studied and analyzed for solving a general class of variational inequalities involving a set of fixed points of nonexpansive mappings and two nonlinear operators. It is shown… read more here.
Keywords: type iterative; algorithm; iterative algorithm; picard type ... See more keywords
Existence and approximation of fixed points of multivalued generalized α-nonexpansive mappings in Banach spaces
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DOI: 10.1007/s11075-019-00854-z
Abstract: We introduce multivalued generalized α-nonexpansive mappings and present a fixed point result. The multivalued version of the iteration process (Piri et al., Numerical Algorithms, 1–20, 2018) is proposed and some weak and strong convergence results… read more here.
Keywords: iteration process; nonexpansive mappings; multivalued generalized; banach ... See more keywords
Proximal point algorithms based on S-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications
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DOI: 10.1007/s11075-020-00945-2
Abstract: In this paper, we combine the S-iteration process introduced by Agarwal et al. (J. Nonlinear Convex Anal., 8(1), 61–79 2007) with the proximal point algorithm introduced by Rockafellar (SIAM J. Control Optim., 14, 877–898 1976)… read more here.
Keywords: asymptotically quasi; nonexpansive mappings; proximal point; point ... See more keywords
The general split equality problem for Bregman quasi-nonexpansive mappings in Banach spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0482-0
Abstract: The purpose of this paper is to propose and study an algorithm for solving the general split equality problem governed by Bregman quasi-nonexpansive mappings in Banach spaces. Under some mild conditions, we established the norm… read more here.
Keywords: bregman quasi; equality problem; general split; nonexpansive mappings ... See more keywords
Some characterizations of Reich and Chatterjea type nonexpansive mappings
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DOI: 10.1007/s11784-019-0731-x
Abstract: We introduce two types of mappings, namely Reich type nonexpansive and Chatterjea type nonexpansive mappings, and derive some sufficient conditions under which these two types of mappings possess an approximate fixed point sequence (AFPS). We… read more here.
Keywords: nonexpansive mappings; types mappings; chatterjea type; type nonexpansive ... See more keywords
The viscosity approximation method for multivalued G-nonexpansive mappings in Hadamard spaces endowed with graphs
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-020-00829-x
Abstract: Using the viscosity approximation method introduced by Moudafi (J Math Anal Appl 241:46–55, 2000), we can obtain strong convergence theorems for monotone increasing G-nonexpansive mappings in Hadamard spaces endowed with graphs. We also give sufficient… read more here.
Keywords: approximation method; spaces endowed; hadamard spaces; mappings hadamard ... See more keywords
Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0503-4
Abstract: In this paper, we propose some new parallel iterative methods by the hybrid and shrinking projection to find a common fixed point of a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces… read more here.
Keywords: iterative methods; family sequences; nonexpansive mappings; finite family ... See more keywords
Convergence of Dissipative-Like Dynamics and Algorithms Governed by Set-Valued Nonexpansive Mappings
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DOI: 10.1007/s40840-020-00997-6
Abstract: In this paper, we consider a differential inclusion governed by a set-valued nonexpansive mapping and study the asymptotic behavior (weak and strong convergence) of its solutions with various assumptions on this mapping. Then for a… read more here.
Keywords: nonexpansive mapping; valued nonexpansive; nonexpansive mappings; set valued ... See more keywords
On Some Generalization of Multivalued Nonexpansive Mappings
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00275-7
Abstract: In this article, we introduce the concepts of multivalued ( DL )-type and multivalued $$\alpha $$ α -nonexpansive mappings in the Banach spaces. We show that these two classes of mappings properly contain some important… read more here.
Keywords: multivalued nonexpansive; nonexpansive mappings; generalization multivalued;
Fixed points of locally nonexpansive mappings in geodesic spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.09.059
Abstract: This is an examination of the structure of fixed point sets of locally nonexpansive mappings in various geodesic spaces. Among other things, it is shown that if G is a bounded connected open subset of… read more here.
Keywords: fixed points; points locally; nonexpansive mappings; subset ... See more keywords
Diametrically Relatively Nonexpansive Mappings and a Characterization of Proximal Normal Structure
Sign Up to like & getrecommendations! Published in 2023 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2023.2212495
Abstract: Abstract We consider a new type of cyclic (noncyclic) mappings, called diametrically relatively nonexpansive maps which contains properly the class of cyclic (noncyclic) relatively nonexpansive mappings. For such mappings we obtain existence results of best… read more here.
Keywords: nonexpansive mappings; proximal normal; normal structure; relatively nonexpansive ... See more keywords