monotone property
Coupled coincidence point and common coupled fixed point theorems lacking the mixed monotone property
... gy. Hence, (x, y) is a coupled coincidence point of the mappings F and g . Remark . In Theorem ., the condition (ii) is a substitution for the mixed g-monotone property that has been used in most of the ...
20
Tripled coincidence point theorems for a φ-contractive mapping in a complete metric space without the mixed g-monotone property
... The concept of coupled fixed point was introduced by Guo and Lakshmikantham []. In , Bhaskar and Lakshmikantham [] introduced the concept of mixed monotone property for contractive operators of the ...
16
Retracted Article: Coupled fixed point theorems without continuity and mixed monotone property
... mixed monotone operators F : X × X → X obtained in (Choudhury and Maity in ...mixed monotone property with another property which is automatically satisfied in the case of a totally ordered ...
10
F-closed sets and coupled fixed point theorems without the mixed monotone property
... monotone property. Furthermore, we interpret the transitive property as a partial preorder and, then, some results in that paper and in Sintunavarat et ...
11
Quadruple fixed point theorems in partially ordered metric spaces with mixed g-monotone property
... mixed monotone property for contractive operators of the form F : X → X, where X is a partially ordered metric space, and then established some coupled fixed point ...g-monotone property and ...
18
Coupled fixed point theorems for nonlinear contractions without mixed monotone property
... mixed monotone property and give some examples of a nonlinear contraction mapping, which is not applied to the existence of coupled fixed point by using the mixed monotone ...
16
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 ® ...
19
Coupled coincidence point theorems for a ϕ-contractive mapping in partially ordered G-metric spaces without mixed g-monotone property
... The concept of a new class of generalized metric spaces, called G-metric space, was introduced by Mustafa and Sims []. Choudhury and Maily [] proved the existence of a coupled fixed point of nonlinear contraction ...
18
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 ...
14
Fixed point theorems for the functions having monotone property or comparable property in the product spaces
... • In Theorem ., if we assume that the quasi-ordered metric space (X, d, ) is complete (not mixed-monotonically complete), then the assumption for f having the sequentially mixed -monotone property can be ...
36
Extended Two-Phase Algorithm for Fast Discovery of High Utility Itemsets on Probabilistic Databases and Possible Application of Counting Inference Approach
... There is no efficient strategy to find all the high utility itemsets due to the non-existence of “downward closure property” (anti-monotone property) in the utility mining model. A heuristics [2] is ...
10
Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
... In recent times, fixed point theory has developed rapidly in partially ordered metric spaces, that is, metric spaces endowed with a partial ordering. Some of these works are noted in [, , , ]. Bhaskar and ...
18
SOME RESULT FIXED POINT THEOREMS IN C*-ALGEBRAS AND BANACH ALGEBRAS
... ABSTRACT: In this paper, the existence and uniqueness of coupled fixed point for mapping having the mixed monotone property in partially ordered metric spaces which endowed with vec[r] ...
5
On coupled coincidence point theorems on partially ordered G metric spaces without mixed g monotone
... mixed monotone property is an essential tool in the partially or- dered G-metric spaces to show the existence of coupled coincidence points, the mappings do not have the mixed g-monotone ...
17
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 ...
5
3. Coupled fixed point theorems in partially ordered metric spaces
... Corollary 2.2. 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 ...
9
Coupled fixed point of generalized contractive mappings on partially ordered G-metric spaces
... Coupled fixed point results for nonlinear contraction mappings having a mixed monotone property in a partially ordered G -metric space due to Choudhury and Maity are extended and unified. We also provide ...
14
On ϕ-coincidence and common ϕ-fixed points in ordered metric spaces
... g-monotone property and proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings F : X × X → X and g : X → X in partially ordered metric spaces as mentioned in ...
24
On coupled common fixed points for mixed weakly monotone maps in partially ordered S-metric spaces
... weakly monotone pair of maps and proved some coupled common fixed point theorems for a contractive-type maps with the mixed weakly monotone property in partially ordered metric ...weakly ...
17
Common coupled fixed point theorems for θ-ψ-contraction mappings endowed with a directed graph
... For F : X × X → X and g : X → X, a concept of coupled coincidence point (x, y) ∈ X × X such that gx = F(x, y) and gy = F(y, x) was first introduced by Lakshimikantham and Ćirić []. Their results extended the result in ...
11