Results 41 to 50 of about 281 (90)
On the strongly damped wave equation and the heat equation with mixed boundary conditions
Abstract and Applied Analysis, Volume 5, Issue 3, Page 175-189, 2000., 2000 We study two one‐dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.
Aloisio F. Neves
wiley +1 more source
, 2014 In this paper, we study and give examples for classes of generalized contractive mappings. We establish some new strong convergence theorems of feasible iterative algorithms for the split common solution problem (SCSP) and give some applications of these
Zhenhua He, Wei-Shih Du
semanticscholar +1 more source
A‐properness and fixed point theorems for dissipative type maps
Abstract and Applied Analysis, Volume 4, Issue 2, Page 83-100, 1999., 1999 We obtain new A‐properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach space X with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces.
K. Q. Lan, J. R. L. Webb
wiley +1 more source
A nonlocal 1-Laplacian problem and median values [PDF]
, 2016 In this paper, we study solutions to a nonlocal 1-Laplacian equation. We introduce two notions of solution and prove that the weaker of the two concepts is equivalent to a nonlocal median value property, where the median is determined by a measure ...
Mazón, José M. +3 more
core +1 more source
Krasnoselskii-type algorithm for fixed points of multi-valued strictly pseudo-contractive mappings
, 2013 Let q>1 and let K be a nonempty, closed and convex subset of a q-uniformly smooth real Banach space E. Let T:K→CB(K) be a multi-valued strictly pseudo-contractive map with a nonempty fixed point set.
C. Chidume +3 more
semanticscholar +1 more source
Convergence comparison and stability of Jungck-Kirk-type algorithms for common fixed point problems
, 2013 The aim of this article is to introduce new hybrid iterative schemes, namely Jungck-Kirk-SP and Jungck-Kirk-CR iterative schemes, and prove convergence and stability results for these iterative schemes using certain quasi-contractive operators. Numerical
Abdullah Alotaibi +2 more
semanticscholar +1 more source
A correction for a result on convergence of Ishikawa iteration for strongly pseudocontractive maps [PDF]
, 2002 We give a correction to the main result from [13]
Ş. M. Şolutuz
core
Strong convergence of a parallel iterative algorithm in a reflexive Banach space
Fixed Point Theory and Applications, 2014 In this paper, a parallel iterative algorithm is investigated for common zeros of a family of m-accretive operators. Strong convergence theorems are established in a reflexive Banach space. MSC:47H06, 47H09.
Yuan Qing, Songtao Lv
semanticscholar +2 more sources
Mann iteration for generalized pseudocontractive maps in Hilbert spaces [PDF]
, 2001 If X is a real Hilbert space, B is a nonempty, bounded, convex and closed subset, T:B→ B is a generalized pseudocontraction; then the iteration begin{eqnarray} x_{1} &in &B, \ x_{n+1} &=&(1-alpha _{n})x_{n}+alpha _{n}Tx_{n}, nonumber \ (alpha _{n})_{n} &
Ş. M. Şoltuz
core
Computation of zeros of nonlinear monotone mappings in certain Banach spaces
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia, 2018 Let E be a uniformly convex real Banach space with uniformly Gâteaux differentiable norm and E∗ its dual space and let A : E → E∗ be a bounded and uniformly monotone mapping such that A−1(0) 6= ∅.
T. Sow, M. Ndiaye, M. Sene, N. Djitté
semanticscholar +1 more source