[PDF] Top 20 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 ... See full document

... Fuzzy metric space ...Fuzzy metric space with the help of continuous t- ...such spaces? It has been seen that the study of Kramosil and Michalek [15] of Fuzzy metric space covered almost all ... See full document

... K property, 7() ⊆ 6() and 6() is a closed subset of ...completefuzzy metric space (, , ∆) into itself satisfying the inequality ...JK property, the pairs (5, 6) and (7, 8) have coincidence ... See full document

... We observe that the notion of common property E.A. relaxes the required containment of range of one mapping into the range of other which is utilized to construct the sequence of joint iterates. As a consequence, ... See full document

... () (f , g) satisfies the (E.A.)-property and fX ⊂ gX ⇒ (f , g) satisfies the (CLRg)-property. The (CLRg)-property has two main advantages: () usually, it is not necessary to assume the completeness ... See full document

... partial metric spaces, which allow non-zero self-distance, was introduced as a generalization of metric spaces by Matthews [14] in 1994 where he gave a generalization of Banach’s contraction ... See full document

... If X is a nonempty set and ρ is D -metric on X , then the ordered pair (X,ρ) is called a D -metric space. When the D -metric ρ is understood, we say that X is a D -metric space. Definition 1.3 ... See full document

... Bhaskar and Lakshmikantham [11] introduced the concepts of coupled fixed points and mixed monotone property and illustrated these results by proving the existence and uniqueness of the solution for a periodic ... See full document

... range property ((JCLR) property) for single–valued and set–valued maps in non–Archimedean fuzzy metric ...(CLR) property and (JCLR) ... See full document

... Afterwards, Kumar et. al.[5] proved the following common fixed point theorem without considering the completeness of space, continuity of maps and using the properties (E.A.) and (CLR): Theorem 1.3: Let (X, d) be a ... See full document

... Very recently, Hussain et al. [] presented the new concept of generalized compatibility of a pair {F, G} of mappings F, G : X × X → X and proved some coupled coincidence point results of such mappings without the mixed ... See full document

... cone metric space satisfying a contractive condition and proved an existence theorem of a common solution of integral ...ordered metric space. Many author studies in modular metric spaces [11, ... See full document

... 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] ... See full document

... [14] Abhay S. Ranadive, Anuja P.chouhan Absorbing maps and fixed point theorem in fuzzy metric spaces, Int.Math. Forum, 5, 2010, no. 10, 493- 502. [15] Y.C kwun, and J. H. Park, A fixed point theorem in the ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...fuzzy metric spaces which are very similar to ... See full document

... amalgamation property which roughly states that if A and B are finite metric spaces which are sufficiently similar then there is a metric on A ∪ B extending the metrics of A and B so that A ... See full document

... Theorem . Suppose that (X, , d) is a partially ordered complete b-metric space with s > . Let T : X × X → X be an almost generalized (ψ, θ )-contractive mapping with respect to g : X → X, and T and g be ... See full document

... One of the most interesting, recent lines of research in the field of fixed point theory is devoted to G-metric spaces. Taking into account Lemma ., we can take advantage of our main results to present some ... See full document

... of metric spaces in the ...partial metric space as a part of the study of denotational semantics of dataflow networks, showing that the Banach contraction map- ping theorem can be generalized to the ... See full document

... Abstract. We round up the concept of cone metric spaces, by giving major tries, to make general, the concept of metric spaces. Authors always reached the conclusion that they didn’t really ... See full document