Journal ArticleDOI
Fixed point theorems for (\psi , \beta )-Geraghty contraction type maps in ordered metric spaces and some applications to integral and ordinary differential equations
TLDR
In this paper, the authors established common fixed point theorems in an ordered complete metric space using distance functions, and extended the results of Yan et al. (2012) and some other existing results announced in the literature.Abstract:
In this paper, we establish common fixed point theorems in an ordered complete metric space using distance functions. Our main result, improves and extends the results of Yan et al. (Fixed Point Theory Appl. 2012, Article id: 152, 2012) and some other existing results announced in the literature. As applications, we discuss some fixed point theorems for contraction of integral type and some existence theorem for solution of integral equation, and for solution of first and second order ordinary differential equations with periodic boundary conditions.read more
Citations
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A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces
TL;DR: In this paper, the Spanish Ministry of Science, Innovation and Universities (MOSI) partially supported by the Spanish National Institute of Higher Education (UE) and AEI/FEDER funds.
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Analytical Solution for Differential and Nonlinear Integral Equations via F ϖ e -Suzuki Contractions in Modified ϖ e -Metric-Like Spaces
TL;DR: In this article, a modified metric-like space is presented, and some related fixed point results using extended - Suzuki and generalized - Suzuki contractions on the mentioned space are established.
Journal ArticleDOI
Common fixed point results for generalized $$\alpha _{*}$$ α ∗ - $$\psi $$ ψ -contraction multivalued mappings in b-metric spaces
TL;DR: In this paper, the authors introduced the notion of generalized Geraghty contraction type for multivalued mappings and established common fixed point theorems for such mappings in complete b-metric spaces.
Journal ArticleDOI
Fixed‐point theorems for weak (ψ, β)‐mappings satisfying generalized C‐condition and its application to boundary value problem
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A Common Fixed Point Theorem for Generalised F -Kannan Mapping in Metric Space with Applications
Lucas Wangwe,Santosh Kumar +1 more
TL;DR: In this article, a common fixed point theorem for kannan mappings in metric spaces with an application to integral equations was proved. But the main result of this paper is not applicable to the case of damped forced oscillations.
References
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Journal ArticleDOI
Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales
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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.
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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.
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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.
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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.