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.

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].

* Correspondence: mujahid@lums. edu.pk Department of Mathematics, Lahore University of Management Sciences, 54792 Lahore Pakistan Abstract In this article, we prove some fixed point results for generalized weakly contractive mappings defined on a partial metric space. We provide some examples to validate our results. These results unify, generalize and complement various known comparable result...

We prove the existence of fuzzy common fixed point of two mappings satisfying a generalized contractive condition in complete ordered spaces. Our results provide extension as well as substantial improvements of several well-known results in the existing literature and initiate the study of fuzzy fixed point theorems in ordered spaces. © 2010 Elsevier Ltd. All rights reserved.

The aim of this paper is to present some coincidence point results for four mappings satisfying generalized ðw;uÞ-weakly contractive condition in the framework of ordered b-metric spaces. An example and an application are also provided to support our results. 2013 Elsevier Inc. All rights reserved.

In this research paper, we concentrate on the existence and uniqueness of common fixed points various mappings in b2 metric space under generalized (ϕ,f)λ-expansive conditions implicit contractive conditions. Additionally, derive a progression noteworthy approaches ideas extending conclusions real to space, which advances investigation will be able advance.