Results 31 to 40 of about 1,194 (112)
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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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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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, 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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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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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper explores the solvability of multiterm hybrid functional equations with multiple delays, addressing these equations under some nonlocal hybrid boundary conditions. By applying Schauder fixed‐point theorem, we establish the existence of continuous solutions and provide sufficient requirements for the continuous dependence of the unique ...
A. M. A. El-Sayed +4 more
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Generalized split null point of sum of monotone operators in Hilbert spaces
Demonstratio Mathematica, 2021 In this paper, we introduce a new type of a generalized split monotone variational inclusion (GSMVI) problem in the framework of real Hilbert spaces. By incorporating an inertial extrapolation method and an Halpern iterative technique, we establish a ...
Mebawondu Akindele A. +4 more
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Fixed point theorems for asymptotically contractive mappings [PDF]
, 2003 In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math.
Suzuki, Tomonari
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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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