[PDF] Top 20 New multipled common fixed point theorems in Menger PM-spaces

... , Menger [] initiated the study of probabilistic metric ...in Menger spaces (see ...fixed point results by giving a generalization of the classical Banach fixed point ...we ... See full document

... fixed point theorems for probabilistic ϕ-contractions in Menger spaces; see ...fixed point theorems for other types of contractions in Menger or fuzzy metric spaces, ... See full document

... of fixed point theory in various fields resulted in sever- al generalizations of the metric ...is Menger space initiated by ...metric spaces which is a milestone for the ... See full document

... In 1972, the notion of contraction mappings on prob- abilistic metric spaces was first introduced by Sehgal et al. [4], that is, “every contraction mapping on a complete Menger space has a unique ... See full document

... Definition 1.15.( [19]) Two maps f and g on Menger spaces X are satisfy the common limit in the range of g (CLRg) property if lim → fx = lim → gx = gx , for some x ∈ X. Example.1.16. Let X = [0, ∞) ... See full document

... Every Menger space ( X, F, ∗) is an intuitionistic Menger space of the form ( X, F, 1 − F, ∗ , ♦) such that the t-norm ∗ and the t-conorm ♦ are associated, see [19], that is x ♦ y = 1 − ( 1 − x ) ∗ ( 1 − y ... See full document

... A common fixed point theorem in Menger proba- bilistic quasi-metric spaces, Chaos, Solitons Fractals, 37(4) (2008), ...S., Fixed points theorems in Menger ... See full document

... In this section we prove some common fixed point theorems by using seven compatible mappings in complete Menger spaces.. In fact we prove following results..[r] ... See full document

... Then by Lemma 2, we have Qv = z. Since ABILv = z, we have Qv = z ABILv, that is v is coincidence point of Q and ABIL. This proves (ii). The remaining two cases pertain essentially to the previous cases. Indeed if ... See full document

... coincidence point problem and a common fixed point problem for a hybrid pair of mappings ...ordered Menger PM-space, ...coincidence point theorem and a common fixed ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... 240 | P a g e Definition 2.3. [8] A probabilistic metric space (PM-space) is an ordered pair (X, F ) consisting of a non-empty set X and a function F : X × X  L, where L is the collection of all distribution ... See full document

... by Menger in USA [], and since then the theory of probabilistic metric spaces has developed in many directions ...of Menger was to use distribution functions instead of nonnegative real numbers as ... See full document

... of Menger PbM-spaces and obtain fixed point results for classes of mappings that extend the notion of generalized β-type contractive mappings introduced by Gopal et ...fixed point ... See full document

... Probabilistic metric space was first introduced by Menger [6]. Later, there are many au- thors who have some detailed discussions and applications of a probabilistic metric space, for example, we may see Schweizer ... See full document

... prove common fixed point theorems for families of owc maps in Menger ...corresponding fixed point theorems in fuzzy metric ... See full document

... K. Menger introduced the probabilistic metric space in which the metric whose value is non- negative real number is the probabilistic ...metric spaces leads to the investigation of physical quantities and ... See full document

... M-complete Menger PM-space under arbi- trary t-norm, therefore Theorem ...fixed point for generalized type contractive mappings in Menger ...of Theorems . and ., we prove the ... See full document

... Recently Al- Thagafi and Shahzad [1] weakened the notion of weakly compatible maps by introducing owc maps. Bouhadjera and Godet-Thobie [3] introduced two new notions subsequential continuity and subcompability ... See full document

... a new category of fixed point ...the fixed point theory in metric ...metric spaces have been introduced as a probabilistic generalization of metric ...a new way of ... See full document