Results 11 to 20 of about 8,426 (194)

Asymptotic fixed points for nonlinear contractions

open access: yesFixed Point Theory and Applications, 2005
Recently, W. A. Kirk proved an asymptotic fixed point theorem for nonlinear contractions by using ultrafilter methods. In this paper, we prove his theorem under weaker assumptions. Furthermore, our proof does not use ultrafilter methods.
Chen Yong-Zhuo
doaj   +3 more sources

On Nonlinear Set-Valued $$\theta $$θ-Contractions

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Durmaz, Gonca, Altun, Ishak
openaire   +3 more sources

Multivalued self almost local contractions

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2019
We introduce a new class of contractive mappings: the almost local contractions, starting from the almost contractions presented by V. Berinde in [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration Nonlinear Analysis ...
Zakany Monica
doaj   +2 more sources

Suzuki–Ćirić-Type Nonlinear Contractions Employing a Locally ζ-Transitive Binary Relation with Applications to Boundary Value Problems

open access: yesMathematics
This article is devoted to enhancing a class of generalized Suzuki-type nonlinear contractions following Pant to a class of Suzuki–Ćirić-type nonlinear contractions via comparison functions via a locally ζ-transitive relation and implemented the same to ...
Doaa Filali, Faizan Ahmad Khan
doaj   +2 more sources

Neutrosophic fuzzy metric spaces and fixed points for contractions of nonlinear type [PDF]

open access: yesNeutrosophic Sets and Systems
In this research, we present xed point theorems pertaining to nonlinear contractions, situated within the sophisticated framework of neutrosophic fuzzy metric spaces.
Ayman A. Hazaymeh, Anwar Bataihah
doaj   +2 more sources

Fixed point theorems for nonlinear contractions with applications to iterated function systems [PDF]

open access: yesApplied General Topology, 2018
We introduce a new type of nonlinear contraction and present some fixed point results without using continuity or semi-continuity. Our result complement, extend and generalize a number of fixed point theorems including the the well-known Boyd and Wong ...
Rajendra Pant
doaj   +2 more sources

Contraction Analysis of Nonlinear DAE Systems [PDF]

open access: yesIEEE Transactions on Automatic Control, 2021
This paper studies the contraction properties of nonlinear differential-algebraic equation (DAE) systems. Specifically we develop scalable techniques for constructing the attraction regions associated with a particular stable equilibrium, by establishing the relation between the contraction rates of the original systems and the corresponding virtual ...
Hung D. Nguyen 0001   +3 more
openaire   +2 more sources

Semigroups of nonlinear contractions on convex sets

open access: yesJournal of Functional Analysis, 1970
H Brezis, A Pazy
exaly   +3 more sources

Output contraction analysis of nonlinear systems

open access: yesCoRR, 2023
This paper introduce the notion of output contraction that expands the contraction notion to the time-varying nonlinear systems with output. It pertains to the systems' property that any pair of outputs from the system converge to each other exponentially.
Hao Yin   +2 more
openaire   +2 more sources

Some new φ-fixed point and φ-fixed disc results via auxiliary functions

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we first introduce several new contractions by some auxiliary functions. Then we establish some φ-fixed point results for ( γ , ψ , φ , ϕ ) $(\gamma ,\psi ,\varphi ,\phi )$ contractions, rational- ( γ , ψ , φ , ϕ ) $(\gamma , \psi ,\varphi
Yan Sun   +4 more
doaj   +1 more source

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