$g$-monotone property
Coupled coincidence point theorems for a ϕ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property
... mixed monotone property and also proved some coupled fixed point the- orems for mappings satisfying the mixed monotone property in partially ordered metric ...mixed g-monotone ...
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Quadruple fixed point theorems in partially ordered metric spaces with mixed g-monotone property
... Similarly, as an easy consequence of Theorem ., we have the following corollary. Corollary . Let (X, ≤ ) be a partially ordered set and suppose there is a metric d on X such that (X, d, ≤) is regular. Suppose that F ...
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Mixed g-monotone property and quadruple fixed point theorems in partially ordered metric spaces
... Similarly, as an easy consequence of Theorem 2.2 we have the following corollary. Corollary 2.2 Let (X, ≤) be a partially ordered set and suppose there is a metric d on X such that (X, d, ≤) is regular. Suppose F : X 4 ® ...
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Tripled coincidence point theorems for a φ-contractive mapping in a complete metric space without the mixed g-monotone property
... Since , some authors have studied triple fixed point and tripled coincidence point theory. This theory has received much attention in different spaces. Aydi et al. [] es- tablished some tripled coincidence point ...
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Mixed g-monotone property and quadruple fixed point theorems in partially ordered G-metric spaces using (ϕ−ψ) contractions
... call G-metric spaces. Some other papers dealing with G-metric spaces are those in ...complete G-metric spaces with the contractive condition which holds for all points that are related by partial ...
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Discussion of coupled and tripled coincidence point theorems for φ-contractive mappings without the mixed g-monotone property
... (F, g)-invariant set which is a generalization of an F-invariant set introduced by Samet and Vetro [] and proved the existence of coupled common fixed point theorems for nonlinear contractions under c-distance in ...
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Common coupled fixed point theorems for Geraghty-type contraction mappings using monotone property
... The aim of this work is to prove some common coupled fixed point theorems for Geraghty-type contraction mappings by using monotone and g-monotone property in- stead of mixed monotone and ...
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(G,F) Closed set and tripled point of coincidence theorems for generalized compatibility in partially metric spaces
... (F, g)-invariant set and proved the existence of a tripled coincidence point theorem and a tripled common fixed point theorem for a φ-contractive mapping in a complete metric space without the mixed ...
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Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
... mixed g -monotone operators F satisfying a contractive ...a G-metric G on X such that (X, G) is a complete G-metric ...X, g : X → X so that F is a mapping having the mixed ...
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Coupled Fixed Point Theorem on Partially Ordered G-metric Space
... and g : X→X be two mappings. Then F is said to have mixed g-monotone property if F(x, y ) is monotone g-non- decreasing in x and is monotone g-non-increasing in y, ...
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Retracted Article: Coupled fixed point theorems without continuity and mixed monotone property
... Studies on coupled fixed point problems in partially ordered metric spaces and ordered cone metric spaces have received considerable attention in recent years ([–] and oth- ers). One of the reasons for this interest ...
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Coupled Fixed Point Theorem in Intuitionistic Fuzzy Metric Space using E A Property
... Specifically, Bhaskar and Lakshmikanthan [5] established coupled fixed point for mixed monotone operator in partially ordered metric spaces. Afterward, Lakshmikanthan and Ciric [7] extended the results of [5] by ...
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On coupled coincidence point theorems on partially ordered G metric spaces without mixed g monotone
... (F, g)-invariant set which is a generalization of an F-invariant set introduced by Samet and Vetro [] and proved theorems on the existence of coupled fixed points for nonlinear contractions under c-distance in ...
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Coupled fixed point theorems for nonlinear contractions without mixed monotone property
... Proof Taking ϕ(t) = kt for some k ∈ [, ) in Corollary .(a), we can get the conclusion. Corollary . (Bhaskar and Lakshmikantham []) Let (X, ) be a partially ordered set and suppose that there is a metric d on X ...
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3. Coupled fixed point theorems in partially ordered metric spaces
... Theorem 2.1. Let (𝑋, ⪯) be a partially ordered set and suppose there is a metric 𝑑 on 𝑋 such that (𝑋, 𝑑) is a complete metric space. Let 𝐹 : 𝑋 × 𝑋 → 𝑋 be a mapping having the mixed monotone property on 𝑋 ...
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Common coupled fixed point theorems for θ-ψ-contraction mappings endowed with a directed graph
... and G be a directed graph with no parallel edges such that the set V (G) of its vertices coincides with X and ⊆ E(G), where E(G) is the set of the edges of the ...is, G is determined by ...
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Generating the Fukaya categories of Hamiltonian G manifolds
... Remark 6.2.7 This inequality generalises to the case when G is an arbitrary compact Lie group. In that situation, you can still represent the zero-section as a twisted complex built out of the cotangent fibre [4]. ...
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F-closed sets and coupled fixed point theorems without the mixed monotone property
... In order to guarantee the existence and uniqueness of a solution of periodic boundary value problems, Gnana Bhaskar and Lakshmikantham (and, subsequently, Lakshmikan- tham and Ćirić, see []) proved, in , existence ...
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Savage's theorem with atoms
... independence property. In literature, independence property states that the comparison between two acts does not change if we mix them with the third ...
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SOME RESULT FIXED POINT THEOREMS IN C*-ALGEBRAS AND BANACH ALGEBRAS
... Proof. Existence of the set of coupled coincidence points is due to theorem 2.1. Let (x, y), (x', y') X×X, be the coupled coincidence points, that is g(x) = F(x, y), g(y) = F(y, x) and g(x') = ...
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