Results 41 to 50 of about 282 (92)

More general common fixed point theorems under a new concept

open access: yesDemonstratio 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

open access: yesAbstract 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

Iterative approximation for split common fixed point problem involving an asymptotically nonexpansive semigroup and a total asymptotically strict pseudocontraction

open access: yes, 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

Computation of zeros of nonlinear monotone mappings in certain Banach spaces

open access: yesA 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

A‐properness and fixed point theorems for dissipative type maps

open access: yesAbstract 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

Krasnoselskii-type algorithm for fixed points of multi-valued strictly pseudo-contractive mappings

open access: yes, 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

open access: yes, 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

Ishikawa iterative process for strongly pseudocontractive operators in arbitrary Banach spaces [PDF]

open access: yes, 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  

Strong convergence of a parallel iterative algorithm in a reflexive Banach space

open access: yesFixed 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

A Random Evolution Inclusion of Subdifferential Type in Hilbert Spaces [PDF]

open access: yes, 1996
In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values.
Kravvaritis, D., Pantelidis, G.
core  

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