We establish a common fixed point theorem for two pairs of compatible mappings under a new contractive condition, which is independent of the known contractive definitions. This theorem improves various known results.

In this paper we prove data dependence of new multistep iterative scheme as well as CR iterative scheme for quasi contractive operators, that is, by using an approximate quasi contractive operator we approximate the fixed point of the given operators.

The objective of this paper is to present a new notion tripled fixed point (TFP) findings by virtue control function in the framework fuzzy cone metric spaces (FCM-spaces). This continuous one-to-one self-map that subsequentially convergent (SC) FCM-spaces. Moreover, using triangular property FCM, some unique TFP results are shown under modified contractive-type conditions. Additionally, two ex...

After the definition of the concept of fuzzy metric space by some authors 1–3 , the fixed point theory on these spaces has been developing see, e.g., 4–9 . Generally, this theory on fuzzy metric space is done for contractive or contractive-type mappings see 2, 10–13 and references therein . In this paper we introduce the concept of fuzzy order ψ-contractive mappings and give two fixed point the...

Introduction/purpose: The aim of this paper is to present the concept generalized ∅-weak contractive condition involving various combinations d(x,y) in modular metric spaces. Methods: Conventional theoretical methods functional analysis. Results: This study presents result (Murthy & Vara Prasad, 2013) for a single-valued mapping satisfying ∅ -weak d(x,y). It setting spaces, and then it prov...

Abstract. In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces. Moreover, we also prove some common fixed point theorems for cyclic contractive mappings in such spaces. Our results generalize and extend the main results of Huang and ...

Huang and Zhang 1 generalized the notion of metric space by replacing the set of real numbers by ordered Banach space, deffined a cone metric space, and established some fixed point theorems for contractive type mappings in a normal cone metric space. Subsequently, several other authors 2–5 studied the existence of common fixed point of mappings satisfying a contractive type condition in normal...

For a class of partially observed diffusions, conditions are given for the map from initial condition signal to filtering distribution be contractive with respect Wasserstein distances, rate which does not necessarily depend on dimension state-space. The main assumptions that has affine drift and constant diffusion coefficient likelihood functions log-concave. Ergodic nonergodic signals handled...

It is well known that the classical contraction mapping principle of Banach is a fundamental result in fixed point theory. Several authors have obtained various extensions and generalizations of Banach’s theorems by considering contractive mappings on different metric spaces. Huang and Zhang [1] have replaced real numbers by ordering Banach space and have defined a cone metric space. They have ...