[PDF] Top 20 Further generalization of fixed point theorems in Menger PM-spaces

... 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

... a fixed point result for a mapping satisfying an integral-type inequality which is indeed an analogue of contraction mapping ...various fixed point theorems employing relatively more ... See full document

... metric spaces and proved some common fixed point ...a Menger space was initiated by Mishra [], and since then many fixed point results for compatible mappings and weakly compatible mappings ... See full document

... , 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

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

... a generalization of a metric space, the concept of a probabilistic metric space has been introduced by Menger [, ...]. Fixed point theory in a probabilistic metric space is an im- portant ... See full document

... fixed point theory in PM-spaces was given by Sehgal and Bharueha- Reid [] wherein the notion of probabilistic B-contraction was introduced and a general- ization of the classical Banach fixed ... See full document

... of Menger PbM-spaces as a generalization of Menger ...fixed point theorems for a new class of contractive mappings in the framework of Menger ... See full document

... 1942 Menger [2] used distribution functions instead of nonnegative real numbers as values of the metric, the notion of probabilistic metric space correspond to situations when we do not know exactly the distance ... See full document

... metric spaces (PM- spaces) which is an important step in the development of fixed point ...metric spaces and proved a number of fixed point ...metric spaces, ... See full document

... (shortly, PM- space) in ...quasi-metric spaces (shortly, PQM- spaces) and proved common fixed point ...metric spaces and proved a number of fixed point ... See full document

... 1942, Menger [8] has introduced the theory of probabilistic metric space by introducing probabilistic notion into ...in PM- space. Altun and Turkoglu [2] proved two common fixed point ... See full document

... a generalization of probabilistic k-contraction given by Sehgal and Bharucha-Reid ...fixed point theorems for probabilistic ϕ-contractions in Menger spaces; see ...fixed point ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...the PM-space, we do not know exactly the distance ... See full document

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

... is generalization of the concept of non compatible maps, yet it requires either completeness of the whole space or any of the range space or continuity of ... See full document

... Example 2.5. If (X , d) is a metric space then the metric d induces a mapping X × X −→ L, defined by F p,q (x) = H(x − d(p, q)), p, q ∈ X and x ∈ R. Further, if the t−norm t : [0, 1] × [0, 1] −→ [0, 1] is defined ... See full document

... mappings. Further, Jungck [3] introduced more generalized commutativity called ...true. Menger [5] introduced the notion of probabilistic metric space, which is generalization of metric space and ... 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

... In 1997, Cho et al. [2] introduced the concepts of compatible maps and compatible maps of type (A) in non-Archimedean Menger probabilistic metric spaces and gave some fixed point ... See full document