Results 41 to 50 of about 389 (61)

On Almost (α, θρ)‐Contractions on Quasimetric Space and Their Fixed Points

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce the concept of almost (α, θρ)‐contraction mappings on quasimetric spaces. Then, under certain conditions, we present some fixed‐point results for almost (α, θρ)‐contraction mappings with respect to ω and γ on both left K‐complete and left M‐complete quasimetric spaces.
Gonca Durmaz Güngör   +4 more
wiley   +1 more source

CONTINUITY OF THE TYCHONOFF FUNCTOR τ [PDF]

open access: yes, 1990
Let C be a class of the inverse systems X = {Xλ, fαβ,A}. We say that a functor F is C-continuous if F(limX) is homeomorphic with lim F(X). In the present paper the continuity of Tychonoff functor τ is investigated.
Ivan Lončar
core   +1 more source

Fixed point results for contractions involving generalized altering distances in ordered metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj  

Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces

open access: yesFixed Point Theory and Applications, 2011
In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi   +2 more
doaj  

A Homotopy Theory for Maps Having Strongly Convexly Totally Bounded Ranges in Topological Vector Spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents Leray–Schauder alternatives and a topological transversality (homotopy) theorem for compact upper semicontinuos maps having (strongly) convexly totally bounded ranges.
O’Regan Donal
doaj   +1 more source

An extragradient iterative scheme for common fixed point problems and variational inequality problems with applications

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, by combining a modified extragradient scheme with the viscosity approximation technique, an iterative scheme is developed for computing the common element of the set of fixed points of a sequence of asymptotically nonexpansive mappings and
Petruşel Adrian, Sahu D.R., Sagar Vidya
doaj   +1 more source

A multivalued version of Krasnoselskii’s theorem in generalized Banach spaces

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
The purpose of this paper is to extend Krasnoselskii’s fixed point theorem to the case of generalized Banach spaces for multivalued operators. As application, we will give an existence result for a system of Fredholm-Volterra type differential inclusions.
Petre Ioan-Radu
doaj   +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  

A Fixed Point Theorem for Discontinuous Functions [PDF]

open access: yes
In this paper we prove the following fixed point theorem. Consider a non-empty bounded polyhedron P and a function Æ : P → P such that for every x є P for which Æ (x) ≠ x there exists δ > 0 such that for all y, z є B (x, δ) ∩ P it holds that (Æ(y)-y)2 (Æ(
Herings,Jean-Jacques   +3 more
core   +4 more sources

On Hilbert Functions of Points in Projective Space and Structure of Graded Modules

open access: yes, 2018
In this paper, we investigate the relationship between the Hilbert functions and the associated properties of the graded modules. To attain this, we construct the graded modules from the sets of points in projective space, $\mathbb{P}_k^n$ .
Mgani, Damas Karmel, Mwanzalima, Makungu
core  

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