Results 31 to 40 of about 1,166 (111)
Approximation structures and applications to evolution equations
Abstract and Applied Analysis, Volume 2003, Issue 12, Page 685-696, 2003., 2003 We discuss various properties of the nonlinear A‐proper operators as well as a generalized Leray‐Schauder principle. Also, a method of approximating arbitrary continuous operators by A‐proper mappings is described. We construct, via appropriate Browder‐Petryshyn approximation schemes, approximative solutions for linear evolution equations in Banach ...
Adrian Duma, Cristian Vladimirescu
wiley +1 more source
Infinite and finite dimensional Hilbert tensors
, 2014 For an $m$-order $n-$dimensional Hilbert tensor (hypermatrix) $\mathcal{H}_n=(\mathcal{H}_{i_1i_2\cdots i_m})$, $$\mathcal{H}_{i_1i_2\cdots i_m}=\frac1{i_1+i_2+\cdots+i_m-m+1},\ i_1,\cdots, i_m=1,2,\cdots,n$$ its spectral radius is not larger than $n^{m ...
Qi, Liqun, Song, Yisheng
core +1 more source
On boundary value problems for degenerate differential inclusions in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 13, Page 769-784, 2003., 2003 We consider the applications of the theory of condensing set‐valued maps, the theory of set‐valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space.
Valeri Obukhovskii, Pietro Zecca
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α− admissible self maps.
Manoj Kumar +4 more
wiley +1 more source
Random fixed point theorems for asymptotic 1‐set contraction operators
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 7, Page 407-412, 2002., 2002 Random fixed point theorems for condensing, 1‐set contraction selfless are known. But no random fixed point theorem for more general asymptotic 1‐set contraction selfmaps is yet available. The purpose of this paper is to prove random fixed point theorems for such maps.
P. Vijayaraju
wiley +1 more source
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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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.
core +1 more source
Topological Algebra and its Applications, 2023 The aim of this article is to present some Δ\Delta -convergence and strong convergence results for a countable family of non-self mappings. More precisely, we employ Mann-Dotson’s algorithm to approximate, common fixed points of a countable family of non-
Patel Prashant, Shukla Rahul
doaj +1 more source
Global asymptotic stability of inhomogeneous iterates
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 3, Page 133-142, 2002., 2002 Let (M, d) be a finite‐dimensional complete metric space, and {Tn} a sequence of uniformly convergent operators on M. We study the non‐autonomous discrete dynamical system xn+1 = Tnxn and the globally asymptotic stability of the inhomogeneous iterates of {Tn}.
Yong-Zhuo Chen
wiley +1 more source
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
core +1 more source