Fixed point theorems in ordered abstract spaces

Nieto, Juan J.; Pouso, Rodrigo López; Rodríguez‐López, Rosana

doi:10.1090/s0002-9939-07-08729-1

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Cited by 212 publications

(94 citation statements)

References 7 publications

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“…Our results also generalize and extend some fixed point and coupled fixed point theorems in partially ordered complete metric spaces and b-metric spaces given by Harjani and Sadarangani [10], Nieto and Rodríguez-López [14,16], Nieto et al [15], Jleli et al [13], O'Regan and Petruşel [17], Ran and Reurings [18], Gnana Bhaskar and Lakshmikantham [8], and Chifu and Petrusel in [6].…”

Section: Preliminariessupporting

confidence: 84%

Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph

Chifu¹,

Petruşel²

2017

J. Nonlinear Sci. Appl.

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Section: Preliminariessupporting

confidence: 84%

Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph

Chifu¹,

Petruşel²

2017

J. Nonlinear Sci. Appl.

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“…In this setting, if U ⊂ X × X, then an operator f : X → X is called orbitally U -continuous (see [13]) if:…”

Section: Preliminariesmentioning

confidence: 99%

Fixed points for non-self operators in gauge spaces

Lazăr¹,

Petruşel²

2013

J. Nonlinear Sci. Appl.

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“…Nieto et al in [14], proved the following fixed point theorem. for ݊߳ ܰ, and there exist an ‫ݔ‬ ߳ ܺ with ‫ݔ‬ ≽ ‫ݔ(݂‬ ); then f has a fixed point.…”

Section: Introductionmentioning

confidence: 98%

Fixed Point Theorems for Kannan Contractions and Weakly Contractive Mappings on a Modular Metric Space Endowed with a Graph

Pathak¹,

Pariya²,

Badshah³

et al. 2017

APAM

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Abstract. The notion of a modular metric spaces were introduced by Chistyakov [5,6]. Abdou and Khamsi [1] gave the analog of Banach contraction principle in modular metric spaces. More recently, Alfuraidan [3] gave generalization of Banach contraction principle on a modular metric space endowed with a graph which is the modular metric version of Jachymski [8] fixed point results.In this paper, we generalize and prove some fixed point results for Kannan contraction and weakly contractive mappings in a modular metric space endowed with a graph. The result of this paper is new and improving the previously known result in modular metric spaces endowed with a graph.

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Fixed point theorems in ordered abstract spaces

Abstract: Abstract. We extend some fixed point theorems in L-spaces, obtaining extensions of the Banach fixed point theorem to partially ordered sets.

Cited by 212 publications

References 7 publications

Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph

Coupled fixed point results for (varphi,G)-contractions of type (b) in b-metric spaces endowed with a graph

Fixed points for non-self operators in gauge spaces

Fixed Point Theorems for Kannan Contractions and Weakly Contractive Mappings on a Modular Metric Space Endowed with a Graph

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