Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings [PDF]
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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Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space [PDF]
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 Ξ±-inverse strongly monotone mapping in a Hilbert space. Manaka
Hongjie Liu +2 more
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Variational inequalities of perturbed maximal monotone mapping with applications
Applied Mathematics Letters, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuying Zhou
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Strong Convergence Theorem by Monotone Hybrid Algorithm for Equilibrium Problems, Hemirelatively Nonexpansive Mappings, and Maximal Monotone Operators [PDF]
Fixed Point Theory and Applications, 2009 We introduce a new hybrid iterative algorithm for finding a common element of the set of fixed points of hemirelatively nonexpansive mappings and the set of solutions of an equilibrium problem and for finding a common element of the set of zero points of
Ming Tian, Yun Cheng
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Convergence Theorems for a Maximal Monotone Operator and a π-Strongly Nonexpansive Mapping in a Banach Space [PDF]
Abstract and Applied Analysis, 2010 Let E be a smooth Banach space with a norm ββ β. Let π(π₯,π¦)=βπ₯β2+βπ¦β2β2β¨π₯,π½π¦β© for any π₯,π¦βπΈ, where β¨β ,β β© stands for the duality pair and J is the normalized duality mapping.
Hiroko Manaka
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Anti-periodic solutions for evolution equations associated with maximal monotone mappings
Applied Mathematics Letters, 2011 The authors consider the existence of anti-periodic solutions for differential inclusions in a real Hilbert space \(H\). The first result concerns the problem \[ x^{\prime }(t)\in -Ax(t)+f(t)\text{ a.e. on }\mathbb{R}, \] \[ x(t)=-x(t+T)\text{ for }t\in \mathbb{R}.
Yuqing Chen, Juan J Nieto
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A note on the degree for maximal monotone mappings in finite dimensional spaces
Applied Mathematics Letters, 2009 The authors attempt to give an easy way to define the topological degree of a maximal monotone mapping as the limit of the classical Brouwer degrees of the Yosida approximations. Moreover, a homotopy property for the degree of a maximal monotone mapping and also for the degree of a subdifferential of a continuous convex function is obtained.
Yuqing Chen, Ravi P Agarwal
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Strong convergence theorems for maximal monotone mappings in Banach spaces
Journal of Mathematical Analysis and Applications, 2008 The main purpose of this paper is to provide both implicit and explicit iterative schemes which converge strongly. The framework includes maximal monotone operators defined on real Banach spaces. These abstract result are then applied in the qualitative analysis of some classes of convex minimization problems.
Habtu Zegeye
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A note on Solodov and Tsengβs methods for maximal monotone mappings
Journal of Computational and Applied Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jinling Zhao, Qingzhi Yang, Hongxiu Gao
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Journal of Mathematics, 2019 In this paper, we introduce an iterative method for approximating a common solution of monotone inclusion problem and fixed point of Bregman nonspreading mappings in a reflexive Banach space.
F. U. Ogbuisi +2 more
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