[PDF] Top 20 Some Common Fixed Point Theorems in Menger PM Spaces

... Sometimes, it is found appropriate to assign the average of several measurements as a measure to ascertain the distance between two points. Inspired from this line of thinking, Menger 1, 2 introduced the notion of ... 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 ... See full document

... fixed point results were studied in ...obtain some multipled common fixed point theorems for a pair of map- pings T : X × X × · · · × X ... See full document

... by Menger [, ]. Fixed point theory in a probabilistic metric space is an im- portant branch of probabilistic analysis, and many results on the existence of fixed points or solutions of nonlinear ... 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

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math____:.. Some fixed point theorems on expansion mappings, Math.[r] ... See full document

... interesting fixed point theorems for ψ - weak contraction in com- plete metric ...Banach’s fixed point theorem and to some other significant ...proved common fixed ... See full document

... the common property ...a point of coincidence each. Further, A, B, S and T have a unique common fixed point provided that both the pairs A, S and B, T are weakly ... See full document

... It is observed by many authors that the contraction condition in a metric space may be exactly translated into a probabilistic metric space endowed with min norms. Sehgal and Bharucha-Reid [] obtained a generalization ... 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

... Therefore by Lemma 2, we have Tz = z. Since STz = z therefore Sz = z. By combining the above results we have Az = Bz = Sz = Tz = Iz = Jz = Lz = Uz = Pz = Qz = z. that is z is a common fixed point of ... 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

... Definition 2.8. [3] Let f and g be self-maps on a set X . If w = f x = gx for some x in X , then x is called coincidence point of f and g, where w is called a point of coincidence of f and g. ... See full document

... In recent times, many fixed point theorems have been presented in the setting of proba- bilistic metric spaces. Many of them were inspired by their corresponding results on met- ric spaces. One ... 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

... This paper consists four sections. First section is central to the text. In second section, we generalize the results of Kohli and Vashistha [1] for pairs of mappings using weakly compatible maps. Third section deals the ... 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 = ... 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

... 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 and Sklar ...about fixed ... See full document