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Convergence of Monotone Generalized $\alpha$-nonexpansive Mappings in Ordered Hyperbolic Metric Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we discuss SPK iterative algorithm for approximating fixed point of monotone generalized $\alpha$-nonexpansive mapping in the setting of partially ordered hyperbolic spaces.
Samir Dashputre, Kavita Sakure
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Monotone maps on dendrites and their induced maps
Topology and its Applications, 2016 A continuum $X$ is a dendrite if it is locally connected and contains no simple closed curve, a self mapping $f$ of $X$ is called monotone if the preimage of any connected subset of $X$ is connected. If $X$ is a dendrite and $f:X\to X$ is a monotone continuous map then we prove that any $ω$-limit set is approximated by periodic orbits and the family of
Haithem Abouda, Issam Naghmouchi
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Monotone extensions of mappings and their applications [PDF]
Pacific Journal of Mathematics, 1983 This paper deals with one of the following general problems. Let P denote a property of mappings which is not necessarily hereditary with respect to the restrictions of mappings. In particular, P may be the property of being a closed mapping, or an open mapping, or a monotone mapping, or a compact mapping, or a quotient mapping, or a perfect mapping ...
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Factorization of delta-monotone linear mappings [PDF]
, 2011 For a delta-monotone linear mapping we prove that the factors in the polar decomposition are delta-monotone. Also, we prove that every delta-monotone linear mapping can be factored into a product of (1-ε)-monotone mappings for any ε∈(0,1).
Changhao Chen +3 more
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Monotone and open Whitney maps [PDF]
Proceedings of the American Mathematical Society, 1986 In this paper we prove that if X X is a locally connected continuum, then there exists a monotone and open Whitney map for
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A construction of a maximal monotone extension of a monotone map [PDF]
ESAIM: Proceedings, 2007 A proof based on the axiom of choice shows that any monotone map has maximal mono- tone extensions but this proof is not constructive. In this paper, we give a construction of such an extension. The process is based on some density properties of (maximal) monotone maps given before. Resume. Afln de montrer qu'une multi-application monotone possµede une
Jean-Pierre Crouzeix +2 more
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Some properties of monotone type multivalued operators in Banach spaces [PDF]
, 1993 summary:Some properties of monotone type multivalued operators including accretive operators and the duality mapping are studied in connection with the structure of Banach ...
Kolomý, Josef
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Abstract and Applied Analysis, 2012 The purpose of this paper is to present the notion of weak relatively nonexpansive multi-valued mapping and to prove the strong convergence theorems of fixed point for weak relatively nonexpansive multivalued mappings in Banach spaces.
Jingling Zhang +2 more
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Extension and Application of the Yamada Iteration Algorithm in Hilbert Spaces
Mathematics, 2019 In this paper, based on the Yamada iteration, we propose an iteration algorithm to find a common element of the set of fixed points of a nonexpansive mapping and the set of zeros of an inverse strongly-monotone mapping.
Ming Tian, Meng-Ying Tong
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Mathematics, 2020 The relaxed inertial Tseng-type method for solving the inclusion problem involving a maximally monotone mapping and a monotone mapping is proposed in this article.
Jamilu Abubakar +3 more
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