Some fixed and coincidence point theorems for R-weakly commuting mappings are obtained. Our results generalize some recent results of Daffer and Kaneko [2] and many of the others. AMS Mathematics Subject Classification (2000): 54H25

In this work, we establish some fixed point theorems for weakly C-contractive mappings in partial metric spaces. Presented theorems extend and generalize some existence results in the literature. Also, an example is given to support our results.

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].

In this paper, we prove a common fixed point theorem for semi-compatible and weakly compatible mappings in Fuzzy metric space using the property (E.A.) and implicit relation. Our result generalizes the result of Singh and Jain [14].

The present paper contains some fixed point results for weakly contractive single valued mappings on S-metric spaces and a homotopy result, which is offered as an application of the obtained new results.

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.

The aim of this paper is to present a common fixed point theorem in a metric space which extends the result of P.C.Lohani & V.H.Bhadshah using the weaker conditions such as Reciprocally continuous, Compatible mappings, Weakly compatible and Associated sequence.

In this paper, we establish some common fixed point theorems for generalized-( ψ , α , β )-weakly contractive mappings in dislocated metric spaces. We present an example in support of our theorem.

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.