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[PDF] Top 20 Some Coupled Fixed Point Results on Partial Metric Spaces

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Some Coupled Fixed Point Results on Partial Metric Spaces

Some Coupled Fixed Point Results on Partial Metric Spaces

... unique coupled fixed ...other results. To prove the existence of the fixed point, choose the sequences {x n } and {y n } like in the proof of Theorem ... See full document

12

Generalization of Some Coupled Fixed Point Results on Partial Metric Spaces

Generalization of Some Coupled Fixed Point Results on Partial Metric Spaces

... of coupled fixed point of a mapping F : X × X → X was introduced by Gnana Bhaskar and Lakshmikantham in ...many coupled fixed point results in different spaces such ... See full document

11

Coupled Fixed Point Results in Complete Partial Metric Spaces

Coupled Fixed Point Results in Complete Partial Metric Spaces

... of fixed point theory, its applications, and related results in partial metric spaces we refer the reader to 4, 5, 12–20 and the references mentioned ...obtained coupled ... See full document

13

Applications and common coupled fixed point results in ordered partial metric spaces

Applications and common coupled fixed point results in ordered partial metric spaces

... The notion of a partial metric space (PMS) was introduced by Matthews [] as a part of the study of denotational semantics of data flow networks. In fact, it is widely recognized that PMSs play an important ... See full document

20

Coupled coincidence point and common coupled fixed point results in cone b-metric spaces

Coupled coincidence point and common coupled fixed point results in cone b-metric spaces

... b-metric spaces (or metric-type spaces) as a generalization of metric ...b-metric spaces that generalized the famous Banach contraction principle in metric ...fixed ... See full document

14

Some fixed and coincidence point results for expansive mappings on G-partial metric spaces

Some fixed and coincidence point results for expansive mappings on G-partial metric spaces

... Example 3.11. Let X = R + and G p (x, y, y) = max{x, y, y}; then (X , G p ) is a complete G-partial metric space. Let T, S : R → R be defined by T x = 2x and Sx = 3x. T and S are surjective, reciprocally ... See full document

18

Some common tripled fixed point results in two quasi-partial metric spaces

Some common tripled fixed point results in two quasi-partial metric spaces

... of partial metric spaces and extended the Banach contraction principle from metric spaces to partial metric ...of partial metric spaces, several ... See full document

21

A version of coupled fixed point theorems on quasi-partial b-metric spaces

A version of coupled fixed point theorems on quasi-partial b-metric spaces

... Theorem 4.1. Let (X , qp b ) be a complete quasi-partial b-metric space and let F : X × X → X , g : X → X be two mappings. Suppose that there exists a function φ : gX → R + such that qp b (gx, F(x, y)) + qp ... See full document

13

Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces

Some coupled coincidence and common fixed point results for a hybrid pair of mappings in 0-complete partial metric spaces

... the metric induced by p is given by d(x, y) =  | x – y | for all x, y ∈ X and (X, d) is not complete, therefore (X, p) is not ...-complete partial metric space and every singleton subset of X is ... See full document

16

A new common fixed point theorem in ordered b-metric-like spaces

A new common fixed point theorem in ordered b-metric-like spaces

... b-metric spaces was introduced and studied by Bakhtin [11] and Czer- wik ...of metric-like ...b-metric-like spaces. Since the b-metric-like space is a natural generalization of ... See full document

14

Coupled fixed point results in cone metric spaces for -compatible mappings

Coupled fixed point results in cone metric spaces for -compatible mappings

... b-common coupled fixed ...b-common coupled fixed point. Moreover, the b-common coupled fixed point of F and G is of the form (u, u) for some u Î ... See full document

15

Some Common Fixed Point Results in Cone Metric Spaces

Some Common Fixed Point Results in Cone Metric Spaces

... For a given cone P ⊆ E, we can define a partial ordering on E with respect to P by x y if and only if y − x ∈ P . We will write x < y if x y and x / y, while x y will stands for y − x ∈ Int P, where Int P ... See full document

11

Remarks on some coupled fixed point theorems in G-metric spaces

Remarks on some coupled fixed point theorems in G-metric spaces

... then T is -continuous. In this case, due to Corollary ., we deduce that T and g have a coincidence point, which from Lemma . implies that F and g have a coupled coinci- dence point. If, on the ... See full document

33

A note on some coupled fixed point theorems on G metric spaces

A note on some coupled fixed point theorems on G metric spaces

... Remark  It is easy to see that Theorem , appearing in [], is a direct corollary of Theorem . On the other hand, Theorem  can deal with some cases, which Theorem  cannot be applied. For this, let us ... See full document

9

Some fixed point results in ordered Gp-metric spaces

Some fixed point results in ordered Gp-metric spaces

... coincidence point z ∗ in X provided that the pairs (f , T ), (g, R) and (h, S) are weakly compatible and the pairs (f , g), (g, h) and (h, f ) are partially weakly increasing with respect to R, S and T, ... See full document

25

SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES

SOME FIXED POINT RESULTS IN THE GENERALIZED CONVEX METRIC SPACES

... Faik GRSOYserves as associate professor for the Department of Mathematics at the Adiyaman University, Adiyaman, Turkey. He received a Ph.D. degree in mathe- matics at the Yildiz Technical University under the ... See full document

13

SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

... in fixed point theory to explore applications of Cantor type theorems as new contour instead of following Picard iterative schemes in generalized metric spaces like non symmetric metric ... See full document

8

Some Coupled Fixed Point Theorems in Cone Metric Spaces

Some Coupled Fixed Point Theorems in Cone Metric Spaces

... Example 2.4. Let E R 2 , P {x, y ∈ R 2 : x, y ≥ 0} ⊆ R 2 , and X 0, 1. Define d : X×X → E with dx, y |x − y|, |x − y|. Then X, d is a complete cone metric space. Consider the mapping F : X × X → X with Fx, y x ... See full document

8

Some coupled fixed point theorems in quasi-partial metric spaces

Some coupled fixed point theorems in quasi-partial metric spaces

... of partial metric spaces and extended the Ba- nach contraction principle from metric spaces to partial metric ...fixed point theorems in partial metric ... See full document

15

Some new common coupled fixed point results in two generalized metric spaces

Some new common coupled fixed point results in two generalized metric spaces

... generalized metric spaces, Mustafa et al. [–] obtained some fixed point results for mappings satisfying different contractive ...obtained some fixed point results ... See full document

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