Results 41 to 50 of about 284 (91)
Iterative solutions of K‐positive definite operator equations in real uniformly smooth Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 3, Page 155-160, 2001., 2001 Let X be a real uniformly smooth Banach space and let T : D(T)⫅X → X be a K‐positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx = f, f ∈ X.
Zeqing Liu +2 more
wiley +1 more source
More general common fixed point theorems under a new concept
Demonstratio Mathematica, 2016 A general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the
Bouhadjera H.
doaj +1 more source
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
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
, 2014 In this paper, we prove the strong convergence theorem for split feasibility problem involving a uniformly asymptotically regular nonexpansive semigroup and a total asymptotically strict pseudocontractive mapping in Hilbert spaces.
P. Cholamjiak, Y. Shehu
semanticscholar +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
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
Ishikawa iterative process for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]
, 2003 In this note we give a correction to the main result of Zhou in [14] on the convergence of the Ishikawa iteration process to a unique fixed point of a strongly pseudocontractive operator in arbitrary real Banach spaces.
J. S. Ume, Lj. Ćirić
core
, 2014 In this paper, a new class of general set-valued parametric ordered variational inclusions, θ∈M(x,g(x,ρ),ρ), with (α,λ)-NODSM mappings is studied in ordered Banach spaces. Then, by using fixed point theory and the resolvent operator associated with (α,λ)-
Hong Gang Li +3 more
semanticscholar +1 more source
Synchronal and cyclic algorithms for fixed point problems and variational inequality problems in Banach spaces [PDF]
Fixed Point Theory and Applications, 2013 In this paper, we study synchronal and cyclic algorithms for finding a common fixed point x∗ of a finite family of strictly pseudocontractive mappings, which solve the variational inequality 〈(γf−μG)x∗,jq(x−x∗)〉≤0,∀x∈⋂i=1NF(Ti), where f is a contraction ...
Abba Auwalu, L. Mohammed, Afis Saliu
semanticscholar +1 more source