In this paper, we prove some common fixed point theorems for two pairs of weakly compatible selfmaps satisfying a new ψ-contractive condition in the framework of a partial metric space. We also provide illustrative examples in support of our new results. The results obtained in this paper differ from the recent relative results in literature. c ©2016 All rights reserved.

In this paper we introduce the notion of weakly (s, r)-contractive multi-valued operator on b-metric space and establish some fixed point theorems for this operator. In addition, an application to the differential equation is given to illustrate usability of obtained results.

The object of this paper is to establish a theorem for a unique common fixed point of four self mappings, weakly compatibile in pairs and satisfying a generalized contractive condition in a cone metric space. Our result generalizes and synthesizes the results of Abbas– Jungck [1], Arshad et al. [2], Huang–Zhang [3] and Vetro [8].

The purpose of this article is to investigate common solutions of a zero point problem of a accretive operator and a fixed point problem of a nonexpansive mapping via a viscosity approximation method involving a τ-contractive mapping. c ©2017 All rights reserved.

in this paper, we introduce a new concept of - -ϕ-contractive integral type mappings and establish some new xed point theorems in complete metric spaces.

In this paper, we define a new contractive mapping called fuzzy (φ,ψ)-contraction in fuzzy metric space and prove a fixed point theorem for this type of mapping. Finally, an example is given to illustrate the main result of this paper. Mathematics Subject Classification: 54E70; 47H25