Results 21 to 30 of about 754,517 (315)
Coupled fixed point theorems with applications to fractional evolution equations [PDF]
Advances in Difference Equations, 2017 In this paper, we first prove some coupled fixed point theorems in partially ordered Φ-orbitally complete normed linear spaces. And then apply the obtained fixed point theorems to a class of semilinear evolution systems of fractional order for proving ...
He Yang +2 more
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Discussion on some coupled fixed point theorems [PDF]
Fixed Point Theory and Applications, 2013 The authors survey a possible list of coupled fixed point results in ordered metric spaces which, by a method used presumably for the first time in [\textit{V. Berinde}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7347--7355 (2011; Zbl 1235.54024)], can be reduced to known results for mappings with one variable.
Samet, Bessem +3 more
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Coupled Fixed Point Theory in Subordinate Semimetric Spaces [PDF]
SymmetryThe aim of this paper is to study the coupled fixed point of a class of mixed monotone operators in the setting of a subordinate semimetric space. Using the symmetry between the subordinate semimetric space and a JS-space, we generalize the results of Senapati and Dey on JS-spaces.
Areej Alharbi +2 more
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Quadruple fixed point theorems for nonlinear contractions on partial metric spaces
Applied General Topology, 2014 The notion of coupled fixed point was introduced by Guo and Laksmikantham [12]. Later Gnana Bhaskar and Lakshmikantham in [11] investigated the coupled fixed points in the setting of partially ordered set by defining the notion of mixed monotone property.
Erdal Karapinar, Kenan Tas
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Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations [PDF]
Sahand Communications in Mathematical Analysis, 2020 Let $mathcal{X}$ be a partially ordered set and $d$ be a generalized metric on $mathcal{X}$. We obtain some results in coupled and coupled coincidence of $g$-monotone functions on $mathcal{X}$, where $g$ is a function from $mathcal{X}$ into itself ...
Hasan Hosseinzadeh
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Coupled Fixed Point Theorems for Weak Contraction Mappings under F-Invariant Set [PDF]
Abstract and Applied Analysis, 2012 We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the ...
Wutiphol Sintunavarat +2 more
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Nonequilibrium Fixed Points of Coupled Ising Models [PDF]
Physical Review X, 2020 19+11 pages, 7+9 ...
Jeremy T. Young +3 more
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Fixed point and coupled fixed point theorems on b-metric-like spaces [PDF]
Journal of Inequalities and Applications, 2013 Abstract We first introduce the concept of b-metric-like space which generalizes the notions of partial metric space, metric-like space and b-metric space. Then we establish the existence and uniqueness of fixed points in a b-metric-like space as well as in a partially ordered b-metric-like space.
Alghamdi, Mohammed +2 more
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Advances in Mathematical Physics, 2022 By considering a metric space with partially ordered sets, we employ the coupled fixed point type to scrutinize the uniqueness theory for the Langevin equation that included two generalized orders.
A. Salem, Noorah Mshary
semanticscholar +1 more source
Theory and Application of Fixed Point [PDF]
, 2021 In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and ...
core +1 more source