In this paper, some new fixed point theorems for generalized contractive type mappings in cone metric spaces are established. Mathematics Subject Classification: 47H10, 54H25

In this paper, we introduce cone metric spaces with w−distance on X. Then we prove fixed point theorems of weakly contractive, weakly Caristi. Mathematics Subject Classification: 37C25

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

In this paper, we present some fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the qu...