Journal ArticleDOI
Generalized contractions in partially ordered metric spaces
TLDR
In this article, the authors present some fixed point results for monotone operators in a metric space endowed with a partial order using a weak generalized contraction-type assumption, which is similar to the one used in this paper.Abstract:
We present some fixed point results for monotone operators in a metric space endowed with a partial order using a weak generalized contraction-type assumption.read more
Citations
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Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
V. Lakshmikantham,Ljubomir Ćirić +1 more
TL;DR: In this paper, Bhaskar and Lakshmikantham introduced the concept of a mixed g-monotone mapping and proved coupled coincidence and coupled common fixed point theorems for such nonlinear contractive mappings in partially ordered complete metric spaces.
Journal ArticleDOI
Fixed point theorems for α–ψ-contractive type mappings
TL;DR: In this paper, the authors introduce a new concept of α - ψ -contractive type mappings and establish fixed point theorems for such mappings in complete metric spaces.
Journal ArticleDOI
Fixed point theorems for weakly contractive mappings in partially ordered sets
J. Harjani,Kishin Sadarangani +1 more
TL;DR: In this paper, the authors present fixed point theorems for weakly contractive maps in a complete metric space endowed with a partial order, and present a generalization of the fixed point theorem.
Journal ArticleDOI
Fixed point theorems for generalized contractions in ordered metric spaces
Donal O'Regan,Adrian Petruşel +1 more
TL;DR: In this article, Nieto et al. present fixed point results for self-generalized contractions in ordered metric spaces, which generalize and extend some recent results of A.C. Reurings.
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Generalized - Contractive Type Mappings and Related Fixed Point Theorems with Applications
Erdal Karapınar,Bessem Samet +1 more
TL;DR: In this paper, fixed point theorems for cyclic contractive mappings are established for metric spaces endowed with a partial order and for a class of contractive mapping mappings.
References
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Journal ArticleDOI
A fixed point theorem in partially ordered sets and some applications to matrix equations
TL;DR: In this paper, an analogue of Banach's fixed point theorem in partially ordered sets is proved, and several applications to linear and nonlinear matrix equations are discussed, including the application of the Banach theorem to the Partially ordered Set (POPS) problem.
Journal ArticleDOI
Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations
TL;DR: It is proved the existence and uniqueness of solution for a first-order ordinary differential equation with periodic boundary conditions admitting only the existence of a lower solution.
Journal ArticleDOI
Random and deterministic fixed point theory for generalized contractive maps
TL;DR: In this paper, fixed point and homotopy results for generalized contractions on complete gauge spaces were obtained for generalized generalized contracts, and random fixed point results were given for generalized contracts on complete-gauge spaces.