[PDF] Top 20 Nonlinear contractive and nonlinear compatible type mappings in Menger probabilistic metric spaces

... linear contractive type and nonlinear compatible type mapping in complete Menger prob- abilistic metric ...of probabilistic metric, as in ... See full document

... , Menger [] initiated the study of probabilistic metric ...of nonlinear equations under various types of conditions in Menger spaces (see ...introduced probabilistic ... See full document

... fuzzy metric spaces have been introduced by kramosil and Michalek[2] and George and Veeramani[3] modified the notion of fuzzy metric spaces with the help of continuos ...fuzzy metric ... See full document

... valued metric spaces which is more general than the classical metric ...for nonlinear contractive mappings in partially order complete metric spaces and obtained ... See full document

... In this article, using the common (CLR) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric ... See full document

... Furthermore, contractive types of mappings occupy a very important position in the fixed point theory in metric ...contraction mappings may be seen in [6]. Probabilistic metric ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... Fixed point theory plays a basic role in applications of many branches of mathematics. Finding a fixed point of contractive mappings has become the center of strong research activity. There are many works ... See full document

... of contractive mappings in metric spaces endowed with a partial order have been studied in a number of ...for nonlinear contractive mappings in partially ordered complete ... See full document

... in metric spaces and obtained some coupled fixed point theorems with the applica- tion to a bounded value ...in metric spaces and cone metric spaces; see [, ...from ... See full document

... [Ordered probabilistic metric spaces, ...of probabilistic quasi-metric spaces which offers a wider framework than that of metric ...weakly compatible ... See full document

... We introduce the concept of a w-compatible mapping to obtain a coupled coincidence point and a coupled point of coincidence for nonlinear contractive mappings in partially ordered ... See full document

... in metric and semi-metric spaces for compatible, weakly compatible and owc mappings satisfying contractive conditions of integral type were proved in [–] and in ... See full document

... of compatible maps and compatible maps of type (A) in non-Archimedean Menger probabilistic metric spaces and gave some fixed point theorems for these ...of ... See full document

... weakly compatible maps and showed that compatible maps are weakly compatible but converse need not ...true. Menger [5] introduced the notion of probabilistic metric space, which ... See full document

... nonexpansive mappings enjoys the fixed point property (FPP) and the approximate fixed point property (AFPP) in various settings of spaces, see for example [7] for the later property for the class of ... See full document

... , Menger [] introduced the concept of a probabilistic metric space, and a large number of authors have done considerable work in such field (see, ...bilistic metric spaces has ... See full document

... image α of c is called a geodesic (or metric) segment joining x and y. When it is unique, this geodesic is denoted by [x, y]. The space (X , d) is said to be a geodesic space if every two points of X are joined by ... See full document

...  metric space to generalize the ordinary metric space and proved several results, for example, refer [1, 2, ... metric space, Mustafa and Sims [20] introduced the concept of G  metric ... See full document

... Recently, fixed point theory has developed rapidly in partially ordered metric spaces. The first result in this direction was given by Ran and Reurings [33] who presented its applications to matrix ... See full document