Results 31 to 40 of about 1,184 (114)
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2075-2081, 2003., 2003 We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi‐nonexpansive type in Banach spaces.
Daya Ram Sahu, Jong Soo Jung
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Iterative methods for solving fixed‐point problems with nonself‐mappings in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 4, Page 193-216, 2003., 2003 We study descent‐like approximation methods and proximal methods of the retraction type for solving fixed‐point problems with nonself‐mappings in Hilbert and Banach spaces. We prove strong and weak convergences for weakly contractive and nonexpansive maps, respectively.
Yakov Alber, Simeon Reich, Jen-Chih Yao
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Demonstratio Mathematica, 2019 In this paper, we provide some generalizations of the Darbo’s fixed point theorem associated with the measure of noncompactness and present some results on the existence of the coupled fixed point theorems for a special class of operators in a Banach ...
Rehman Habib ur +2 more
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On the order of the operators in the Douglas-Rachford algorithm
, 2015 The Douglas-Rachford algorithm is a popular method for finding zeros of sums of monotone operators. By its definition, the Douglas-Rachford operator is not symmetric with respect to the order of the two operators.
Bauschke, Heinz H., Moursi, Walaa M.
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The fixed‐point property in Banach spaces containing a copy of c0
Abstract and Applied Analysis, Volume 2003, Issue 3, Page 183-192, 2003., 2003 We prove that every Banach space containing an isomorphic copy of c0 fails to have the fixed‐point property for asymptotically nonexpansive mappings with respect to some locally convex topology which is coarser than the weak topology. If the copy of c0 is asymptotically isometric, this result can be improved, because we can prove the failure of the ...
Maria A. Japón Pineda
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Tensor Complementarity Problem and Semi-positive Tensors
, 2015 The tensor complementarity problem $(\q, \mathcal{A})$ is to $$\mbox{ find } \x \in \mathbb{R}^n\mbox{ such that }\x \geq \0, \q + \mathcal{A}\x^{m-1} \geq \0, \mbox{ and }\x^\top (\q + \mathcal{A}\x^{m-1}) = 0.$$ We prove that a real tensor $\mathcal ...
Qi, Liqun, Song, Yisheng
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Fixed‐point theorems for multivalued non‐expansive mappings without uniform convexity
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 375-386, 2003., 2003 Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the nonstrict Opial condition. Let C be a bounded closed convex subset of X, KC(C) the family of all compact convex subsets of C, and T a nonexpansive mapping from C into KC(C). We prove that T has a fixed point.
T. Domínguez Benavides +1 more
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Demonstratio Mathematica, 2021 In this paper, we study the problem of finding a common solution of split generalized vector mixed equlibrium problem (SGVMEP), fixed point problem (FPP) and variational inequality problem (VIP).
Mewomo Oluwatosin T., Oyewole Olawale K.
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Iterative approximation of common attractive points of further generalized hybrid mappings
, 2017 Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings (ii) to introduce the concept of common attractive points (CAP) (iii) to write and use Picard-Mann iterative process for two mappings.
Khan, Safeer Hussain
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Fixed points of asymptotically regular nonexpansive mappings on nonconvex sets
Abstract and Applied Analysis, Volume 2003, Issue 2, Page 83-91, 2003., 2003 It is shown that if X is a Banach space and C is a union of finitely many nonempty, pairwise disjoint, closed, and connected subsets {Ci : 1 ≤ i ≤ n } of X, and each Ci has the fixed‐point property (FPP) for asymptotically regular nonexpansive mappings, then any asymptotically regular nonexpansive self‐mapping of C has a fixed point. We also generalize
Wiesława Kaczor
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