Results 1 to 10 of about 2,512 (114)
From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We consider a generalized equation governed by a strongly monotone and Lipschitz single-valued mapping and a maximally monotone set-valued mapping in a Hilbert space. We are interested in the sensitivity of solutions w.r.t. perturbations of both mappings.
Gerd Wachsmuth
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Some Results on Fixed Points for Monotone Inward Mappings in Geodesic Spaces
مجلة بغداد للعلوم, 2022 In this article, the partially ordered relation is constructed in geodesic spaces by betweeness property, A monotone sequence is generated in the domain of monotone inward mapping, a monotone inward contraction mapping is a monotone Caristi inward ...
khalid Abed Jassim
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Mathematics, 2023 In this paper, under some new appropriate conditions imposed on the parameters and mappings involved in the proximal mapping associated with a general H-monotone operator, its Lipschitz continuity is proved and an estimate of its Lipschitz constant is ...
Javad Balooee +4 more
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Induced mappings on $C_n(X)/{C_n}_K(X)$
Математичні Студії, 2021 Given a continuum $X$ and $n\in\mathbb{N}$. Let $C_n(X)$ be the hyperspace of all nonempty closed subsets of $X$ with at most $n$ components. Let ${C_n}_K(X)$ be the hyperspace of all elements in $C_n(X)$ containing $K$ where $K$ is a compact subset of ...
E. Castañeda-Alvarado +2 more
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Fixed Point Theory and Applications, 2009 We prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a hemirelatively nonexpansive mapping in a Banach space by using monotone hybrid iteration method.
Chakkrid Klin-eam, Suthep Suantai
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On the Monotone Mappings in CAT(0) Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods by combining the resolvent method with Halpern's iterative method and viscosity approximation method for finding a ...
Davood Afkhami Taba, Hossein Dehghan
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A System of Generalized Variational Inclusions Involving a New Monotone Mapping in Banach Spaces
Abstract and Applied Analysis, 2013 We introduce a new monotone mapping in Banach spaces, which is an extension of the -monotone mapping studied by Nazemi (2012), and we generalize the variational inclusion involving the -monotone mapping.
Jinlin Guan, Changsong Hu
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Abstract and Applied Analysis, 2012 We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu +2 more
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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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Journal of Applied Mathematics, 2014 We introduce a new generalized resolvent in a Banach space and discuss some of its properties. Using these properties, we obtain an iterative scheme for finding a point which is a fixed point of relatively weak nonexpansive mapping and a zero of monotone
Xian Wang, Jun-min Chen, Hui Tong
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