Compatibility for Six Self Maps in a Cone Metric Space

Compatibility and Weak Compatibility for Four Self Maps in a Cone Metric Space

The object of this paper is to introduce the concept of compatibility of pair of self maps in a cone metric space without assuming its normality. Using this concept we establish a unique common fixed point theorem for four self maps satisfying a generalized contractive condition in a cone metric space which generalizes and synthesizes the results of L. G. Huang and X. Zhang [3]( J. Math. Anal. ...

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces

New fixed and periodic point results on cone metric spaces

In this paper, several fixed point theorems for T-contraction of two maps on cone metric spaces under normality condition are proved. Obtained results extend and generalize well-known comparable results in the literature.

Semi-Compatibility, Weak Compatibility and Fixed Point Theorem in Fuzzy Metric Space

In this paper, the concept of semi-compatibility in Fuzzy metric space has been applied to prove common fixed point theorem. A fixed point theorem for six self maps has been established using the concept of semi-compatibility and weak compatibility of pair of self maps, which generalizes the result of Cho [1]. Mathematics Subject Classification: Primary 47H10, Secondary 54H25

Best Proximity Points Results for Cone Generalized Semi-Cyclic φ-Contraction Maps

In this paper, we introduce a cone generalized semi-cyclicφ−contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic.