Contractive mapping theorems in Partially ordered metric spaces
N. Seshagiri Rao,K. Kalyani,Kejal Khatri +2 more
- Vol. 22, Iss: 2, pp 203-214
TLDR
In this article, common fixed point theorems for monotone self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order are established, which generalize and extend well known existing results in the literature.Abstract:
The purpose of this paper is to establish some coincidence, common fixed point theorems for monotone \(f\)-non decreasing self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order. Also, the results involving an integral type of such classes of mappings are discussed in application point of view. These results generalize and extend well known existing results in the literature.read more
Citations
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Journal ArticleDOI
Unique fixed point theorems in partially ordered metric spaces.
N. Seshagiri Rao,K. Kalyani +1 more
TL;DR: In this paper, some fixed point results of a mapping satisfying certain rational type contractive conditions in the frame work of a metric space endowed with partial order are established.
Journal ArticleDOI
Some fixed point results of generalized [Formula: see text]-contractive mappings in ordered b-metric spaces.
TL;DR: The existence and uniqueness theorems for a fixed point and coincidence point, coupled coincidence point and coupled common fixed points for two mappings satisfying generalized -contractive conditions in complete partially ordered b -metric spaces are proved.
Journal ArticleDOI
Fixed point results for weak contractions in partially ordered b-metric space.
TL;DR: In this paper, the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized weak contraction condition was explored, and some results were posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition.
References
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Journal ArticleDOI
Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
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.
Book
Fixed-point theorems
TL;DR: In this paper, the authors introduce the Banach fixed-point theorem and its application to linear systems of linear functions, including systems of integral functions. But they do not consider the application of the Brouwer fixed point theorem to nonlinear functions.
Journal ArticleDOI
Generalized contractions in partially ordered metric spaces
TL;DR: 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.
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