This paper is twofold. First we prove a common fixed point theorem for a pair of weakly compatible mappings along with E.A. property. This theorem improves and generalizes a result of Jungck [5] without any continuity requirement besides relaxing the containment of the range of one map into the range of other map. Moreover, we prove some results under different variants of R-weakly commuting ma...

We establish common fixed point theorems involving two pairs of weakly compatible mappings satisfying nonlinear contractive conditions in K -metric spaces. The presented theorems generalize, extend and improve many existing results in the literature. © 2011 Elsevier Ltd. All rights reserved.

The purpose of this paper is to establish a common fixed point theorem for pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results. 2000 Mathematics Subject Classification: 47H10, 54H25.

We prove the unique common fixed point theorems for pairs of weakly compatible mappings satisfying the certain contractive conditions in the setting of generalized metric spaces without exploiting the notion of continuity. Mathematics Subject Classification: Primary 47H10; Secondary 54H25

Two common fixed point results of Meir and Keeler type for four weakly compatible mappings are obtained which complement, improve and extend various previous ones existing in the literature especially the result of [2].

The aim of this paper is to obtain some common fixed point theorems for hybrid pairs of single and multi-valued occasionally weakly compatible mappings using a symmetric derived from an ordinary symmetric d in b-metric space.

The objective of this paper is to obtain some common fixed point theorems for hybrid pairs of single and multi-valued occasionally weakly compatible mappings in b-metric space.

We prove that for compatible weakly nonlocal Hamiltonian and symplectic operators, hierarchies of infinitely many commuting local symmetries and conservation laws can be generated under some easily verified conditions no matter whether the generating Nijenhuis operators are weakly nonlocal or not. We construct a recursion operator of the two dimensional periodic Volterra chain from its Lax repr...

We prove some common fixed point results for two pairs of weakly compatible mappings satisfying a general contractive condition without using the completeness of the space and continuity of maps.

The purpose of this paper is to obtain some common fixed point theorems under weaker conditions such as sub compatible mappings and weakly commuting with respect g in the setting of non normal cone metric space.