Results 1 to 10 of about 385 (61)
Abstract and Applied Analysis, Volume 2024, Issue 1, 2024.The paper proposes a viscosity approximation algorithm for approximating fixed points. The study in this paper demonstrates that without having the prior estimations of operator norm and semicompactness of one‐parameter semigroups of nonexpansive ...
Prashant Patel, Rahul Shukla
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Attouch-Théra Duality, Generalized Cycles, and Gap Vectors [PDF]
SIAM Journal on Optimization, 2021 Using the Attouch-Théra duality, we study the cycles, gap vectors and fixed point sets of compositions of proximal mappings. Sufficient conditions are given for the existence of cycles and gap vectors.
Salihah Alwadani +2 more
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European Journal of Theoretical and Applied Sciences, 2023 Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P. Let Ti: K → X (i= 1,...,m) be a finite family of uniformly continuous asymptotically nonexpansive in the intermediate sense maps with a nonempty common fixed points ...
A. Nnubia +2 more
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Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
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Iterative methods for the split common fixed point problem in Hilbert spaces [PDF]
, 2014 The split common fixed point problem is an inverse problem that consists in finding an element in a fixed point set such that its image under a bounded linear operator belongs to another fixed point set.
Huanhuan Cui, Fenghui Wang
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Iterative approximation of a solution of a general variational‐like inclusion in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1159-1168, 2004., 2004 We introduce a class of η‐accretive mappings in a real Banach space and show that the η‐proximal point mapping for η‐m‐accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational‐like inclusions involving η‐accretive mappings in real Banach space, and discuss its convergence criteria.
C. E. Chidume, K. R. Kazmi, H. Zegeye
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Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
Abstract and Applied Analysis, Volume 2004, Issue 3, Page 239-249, 2004., 2004 We first introduce a modified proximal point algorithm for maximal monotone operators in a Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal monotone operators in a Banach space which generalizes the previous result by Kamimura and Takahashi in a Hilbert space.
Fumiaki Kohsaka, Wataru Takahashi
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, 2015 In this article, we first introduce the concept of T-mapping of a finitefamily of strictly pseudononspreading mapping , and we show that the fixed point set of theT-mapping is the set of common fixed points of and T is a quasi-nonexpansive mapping.Based ...
Hai-tao Che, Mei-xia Li
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Local solvability of a constrainedgradient system of total variation
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 353-365, 2003., 2003 Suppose X is a real q‐uniformly smooth Banach space and F, K : X → X with D(K) = F(X) = X are accretive maps. Under various continuity assumptions on F and K such that 0 = u + KFu has a solution, iterative methods which converge strongly to such a solution are constructed.
C. E. Chidume, H. Zegeye
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, 2015 In this paper, an iterative algorithm is introduced to solve the split common fixedpoint problem for asymptotically nonexpansive mappings in Hilbert spaces.
Xin-Fang Zhang +3 more
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