The intent of this paper is to extend the notions of occasionally weakly compatible mappings, subcompatibility and subsequential continuity in framework of generalized metric spaces and prove some common fixed point theorems. We give some examples which demonstrate the validity of the hypotheses and degree of generality of our results. Our results are independent of the continuity requirement o...

We prove common fixed point theorems for four mappings in compact metric spaces satisfying implicit relations using the concept of occasionally weak compatibility which generalize Theorems of [1], [18] and [19]. 2000 Mathematics Subject Classification: 54H25, 47H10.

We prove general common fixed point theorems for occasionally weakly compatible hybrid pairs of mappings in symmetric spaces satisfying implicit relations which generalize the theorems of [1]-[6], [8]-[14], [16]-[33], [36], [37], [39], [41], [44], [46]-[49], [51], [56], [58]-[63], [65]-[74], [76]-[85] and we correct the errors of [6], [21], [34], [47] and [84]. AMS Mathematics Subject Classific...

We prove a common fixed point theorem for four two pairs of hybrid mappings in compact metric space satisfying an implicit relations using the concept of strict occasionally weak compatibility which generalize theorems of [1, 4, 7, 28]. As an application we obtain a general fixed point theorem for hybrid pairs satisfying a contractive condition of integral type, which is a new result in compact...

The purpose of this paper is to prove a general fixed point theorem by altering distance for two owc pairs hybrid mappings and to reduce the study of fixed points of pairs of mappings satisfying a contractive condition of integral type at the study of fixed point in metric spaces by altering distances satisfying an implicit relation, which generalize some results from [1], [6], [9], [21], [27] ...

The concept of 2-metric space is a natural generalization of the metric space. Initially, it has been investigated by Gähler [3] and has been developed broadly by Gähler [4, 5] and more. After this number of fixed point theorems have been proved for 2-metric spaces by introducing compatible mappings, which are more general than commuting and weakly commuting mappings. Jungck and Rhoades defined...

In this paper, in the first step, we will introduce concept of occasionally weakly biased mappings type (A) which is a convenient generalization (A). second show that new definition coincides with our given [8]. third and last step give an example verifies validity result.