D-metric spaces
On the topology of D metric spaces and generation of D metric spaces from metric spaces
... a D-metric space is given, in which D-metric convergence does not define a topology and in which a convergent sequence can have infinitely many ...constructing D-metric ...
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On convergent sequences and fixed point theorems in D metric spaces
... the D-metric spaces given in Examples ...the D-metric in any of these spaces is not sequentially continuous even in a single ...a D-metric need not be sequentially ...
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Fixed Point Theorem and Consequences in D* Metric Spaces
... on D*-metric spaces and obtain certain ...on metric spaces, proved by ...of metric spaces given by ...of D*-metric ...of metric spaces by ...
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Common fixed point in D∗ metric spaces
... in D ∗ -metric ...named d n ∗ that satisfies d n+1 ∗ − d n ∗ ≤ α n d 0 , since α ∈ [0, 1), then α n d 0 → ...that d n+1 ∗ ≤ d n ∗ ...
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A general existence principle for fixed point theorems in D metric spaces
... Theorem 4.7. Let f be a selfmap of a D-metric space X. Suppose that there exists a point a ∈ X with O(a) bounded and complete. Suppose that f is continuous and α-condensing on O(a) and satisfies (4.3) for ...
8
Conquences of A Fixed Point Theorem for Quasi Contractions of D* Metric Spaces
... International Journal for Research in Applied Science & Engineering Technology IJRASET The following Lemmas are use full in proving fixed point theorems of quasi-contractions on D*-metri[r] ...
6
Vol 7, No 6 (2016)
... a metric space, Gahler [2, 3] introduced the notion of 2-metric spaces while Dhage [1] initiated the notion of D - metric ...to D - metric spaces Shaban Sedghi, ...
7
Fixed point theorems for self map under some contractive conditions related to Φ-map
... Sims, Fixed point theorems for contractive mapping in complete G -metric spaces, Fixed Point Theory Appl. Sims, Some remarks concerning D -metric spaces, Proceedings International C[r] ...
9
Property in -Metric Spaces
... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation theory. Generalizations of ...
12
Some unique fixed point theorems for rational contractions in partially ordered metric spaces
... of metric spaces such as rectangular metric spaces, pseudo metric spaces, fuzzy metric spaces, quasi metric spaces, quasi semi-metric ...
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Vol 3, No 3 (2012)
... b-metric spaces (see[3],[12],[13]). Generalizations of metric spaces were proposed by Gahler[31],(called 2-metric spaces) and Dhage[2],(called D-metric ...Dhage’s ...
13
A unique common fixed point theorem for six maps in g-metric spaces
... of D-metric spaces as generalization of ordinary metric functions and went on to presentseveral fixed point results for single and multivalued ...of D-metric space are ...
7
Vol 3, No 6 (2012)
... = d 2 p ( A A 1 n A A x 4 3 3 m − 1 , A A 1 n A A x 3 2 m 2 ) ≤ c max M 2 ( x m 2 , x m 3 − 1 ) + F (min M 2 ( x m 2 , x m 3 − 1 )) = c max{0, d 2 p ( x m 2 , x m 2 + 1 ), d 3 p ( x m 3 − 1 , x m ...
7
Metric-like spaces, partial metric spaces and fixed points
... a metric-like space, as a generalization of a partial metric space, we mean a pair (X , σ ), where X is a nonempty set and σ : X × X → R satisfies all of the conditions of a metric except that σ (x, ...
10
Cone Metric Spaces are not Generalized Metric Spaces: A Plenary Survey
... It is necessary for us to mention, here, that the first author was among those who were trying hard to introduce means of generalization for the concept of metric in the theory of cone metric spaces ...
8
Fixed point theorems in metric spaces and probabilistic metric spaces
... 47H10, 54H25 INTRODUCTION AND PRELIMINARIES Recently, a number of fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces have been proved by many[r] ...
10
Common Fixed Point Theorems in Fuzzy 2 and Fuzzy 3-Metric Spaces
... ∗ d " ≤ a # ∗ b # ∗ c # ∗ d # whenever a " ≤ a # , b " ≤ b # , c " ≤ c # , d " ≤ d # for all a " , a # , b " , b # , c " , c # ,d 1 and d 2 are in ...
10
A short note on ‘Common fixed point theorems for non compatible self maps in generalized metric spaces’
... ordered metric spaces (see [, ]), in G-metric spaces (see [–]), among other abstract metric spaces (see [, ] in partial metric spaces, [–] in fuzzy ...
14
A new common fixed point theorem in ordered b-metric-like spaces
... Example 2.3. Let X = [0, ∞) be equipped with the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = 2. Define a relation on X by x y iff y ≤ x, the functions f , g : X → X by f x = ln(1 + 13 x ) ...
14
Sequence spaces of fuzzy numbers defined by a sequence of moduli
... Alotaibi, Mursaleen, Sharma and Mohiuddine[1] used the Musielak-Orlicz function M= (M k ) , p = ( p k ) a bounded sequence of positive real numbers and σ one- to- one mapping from the set of positive integers into it ...
12