Journal ArticleDOI
Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
Vasile Berinde,Marin Borcut +1 more
TLDR
In this paper, the concept of triple fixed point was introduced for nonlinear mappings in partially ordered complete metric spaces and obtained existence and uniqueness theorems for contractive type mappings.Abstract:
In this paper, we introduce the concept of tripled fixed point for nonlinear mappings in partially ordered complete metric spaces and obtain existence, and existence and uniqueness theorems for contractive type mappings. Our results generalize and extend recent coupled fixed point theorems established by Gnana Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham, Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Anal. 65 (7) (2006) 1379–1393]. Examples to support our new results are given.read more
Citations
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Journal ArticleDOI
On fixed points of α-ψ-contractive multifunctions
TL;DR: In this paper, the notion of -contractive multifunctions was introduced and a fixed-point result for self-maps in complete metric spaces satisfying a contractive condition was obtained.
Journal ArticleDOI
Coupled fixed point theorems for ϕ-contractive mixed monotone mappings in partially ordered metric spaces
TL;DR: In this paper, the coupled fixed point theorems for mixed monotone operators F : X × X → X obtained by Bhaskar and Lakshmikantham are extended by weakening the involved contractive condition.
Journal ArticleDOI
Tripled coincidence theorems for contractive type mappings in partially ordered metric spaces
Marin Borcut,Vasile Berinde +1 more
TL;DR: Three tripled coincidence point theorems are established for a pair of mappings F : X × X ×X → X and g : X → X satisfying a nonlinear contractive condition ordered metric spaces.
Journal ArticleDOI
Coupled best proximity point theorem in metric Spaces
Wutiphol Sintunavarat,Poom Kumam +1 more
TL;DR: In this article, the concept of coupled best proximity point and cyclic contraction pair is introduced and the existence and convergence of these points in metric spaces is studied. And new results on the existence of coupled fixed points in a uniformly convex Banach space are given.
Journal ArticleDOI
Tripled coincidence point theorems for weak φ-contractions in partially ordered metric spaces
TL;DR: In this article, the authors present triplet coincidence point theorems for F: X3 → X and g: X → X satisfying weak φ-contractions in partially ordered metric spaces.
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
Fixed point theorems in partially ordered metric spaces and applications
TL;DR: In this paper, a fixed point theorem for a mixed monotone mapping in a metric space endowed with partial order was proved, using a weak contractivity type of assumption, which can be used to investigate a large class of problems.
Journal ArticleDOI
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
Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spaces
TL;DR: In this article, the generalized Meir-Keeler type functions and coupled fixed point theorems for complete metric spaces with partial order were defined and proved under a generalized MEK contractive condition.
Journal ArticleDOI
Coupled fixed points in partially ordered metric spaces and application
TL;DR: In this paper, Bhaskar and Lakshmikantham proved coupled fixed point theorems for mappings having a mixed monotone property in partially ordered metric spaces.
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Fixed point theorems in partially ordered metric spaces and applications
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