More general common fixed point theorems under a new concept
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
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
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
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
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
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
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]
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
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]
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

