V. H. Badshah

Common Fixed Points of Occasionally Weakly Compatible in Intuitionistic Fuzzy Metric Space

In this paper, we prove some common fixed point theorem for occasionally weakly compatible maps in intuitionistic fuzzy metric spaces satisfying implicit relation. Our result extends and generalizes the recent results of Manro et al. [13, 14].

Fixed Point Theorem and Semi-Compatibility in Menger Probabilistic Metric Space

The present paper deals with a fixed point theore m for six self maps using the concept of semi-compatible self maps in a Menger PM -space. Our result generalizes the result of Singh and Sharma [12].

Compatibility of type (β) and Common fixed point theorem in intuitionistic fuzzy metric space

Zadeh [11] introduced the notion of fuzzy sets. Later on many authors have extensively developed the theory of fuzzy sets and applications. Kramosil and Michalek [5] introduced the concept of fuzzy metric spaces. George and Veeramani [4] modified this concept and defined a Hausdorff topology on fuzzy metric spaces. Singh and Chouhan [9] introduced the concept of compatible mappings in Fuzzy metric space and proved some common fixed point theorems. Jungck [6] introduced the concept of compatible maps. Jungck et al. [7] introduced the concept of compatible maps of type (A) in metric space and proved the fixed point theorems. Turkoglu et al. [1] introduced the concept of compatible maps and compatible maps of types (α) and (β) in intuitionistic fuzzy metric spaces and gave some relations between the concepts of compatible maps and compatible maps of types (α) and (β). For the sake of completeness, we recall some definitions and known results in fuzzy metric space,

Common Unique Fixed Point Theorems for Compatible Mappings of Type (A) in Complete Metric Space

The object of this paper is to obtain common unique fixed-point theorems for three and four compatible mappings of type (A) in complete metric space using rational inequality .Our result generalizes the results of Jungck [4, 5], Aage and Salunke [2], Shukla, Tiwari and Shukla [3]. KeywordsComplete metric Space, compatible mappings of types (A), common fixed point. Mathematics Subject Classification54H25.