We give a condition so that certain mixed monotone mappings on function spaces have a contractive multiplicative relaxation with respect to Thompson’s metric. The corresponding fixed point theorem can be applied to special types of integral equations, for example.

In this paper, we prove some coupled fixed point theorems satisfying a Meir-Keeler type contractive condition for mappings enjoying the mixed monotone property in ordered partial metric spaces.

: The object of this paper is to obtain a common fixed point theorem for four continuous random operators by considering a sequence of measurable functions satisfying certain contractive condition in separable Hilbert space. Mathematics Subject Classification: 54H25,47H10.

In this paper we define a new weak contractive condition for a pair of self mappings in fuzzy metric space and prove the existence of coincidence and common fixed points. Mathematics Subject classification: 47H1, 54A40, 54E99

*Correspondence: [email protected] 1Department of Mathematics, National University of Computer and Emerging Sciences, Lahore, Pakistan Full list of author information is available at the end of the article Abstract The aim of this paper is to introduce a class of multivalued mappings satisfying a Suzuki type generalized contractive condition in the framework of fuzzy metric spaces and to ...

In this work, we establish new fixed point theorems for generalized Pata–Suzuki type contraction via α -admissible mapping in metric spaces and to prove some results such mappings. Moreover, give an example illustrate our main result. Consequently, the presented paper generalize improve corresponding of literature.

The aim of this paper is to prove a convergence theorem of a generalized Ishikawa iteration sequence for two multivalued strongly pseudo-contractive mappings by using an approximation method in real uniformly smooth Banach spaces. We generalize and extend the results of Chang and Chang, Cho, Lee, Jung, and Kang.

The existence of coincidence points and common fixed points for four mappings satisfying generalized contractive conditions without exploiting the notion of continuity of any map involved therein, in a cone metric space is proved. These results extend, unify and generalize several well known comparable results in the existing literature. 2010 Elsevier Inc. All rights reserved.

In this paper, we introduce some concepts in partial b-metric spaces. We establish fixed point theorems for some new generalized α − ψ type contractive mappings in the setting of partial b-metric spaces. Some examples are presented to illustrate our obtained results. Finally, we show that the results generalize some recent results. c ©2016 All rights reserved.

We establish some common best proximity point results for generalized α−ψ-proximal contractive non-self mappings. We provide some concrete examples. We also derive some consequences on some best proximity results on a metric space endowed with a graph. 2000 Mathematics Subject Classification: 47H10, 54H25.