fixed points for e-asymptotic contractions and boyd-wong type e-contractions in uniform spaces

Authors

a. aghanians

k. fallahi

k. nourouzi

abstract

in this paper we discuss on the fixed points of asymptotic contractions and boyd-wong type contractions in uniform spaces equipped with an e-distance. a new version ofkirk's fixed point theorem is given for asymptotic contractions and boyd-wong type contractions is investigated in uniform spaces.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Fixed points for E-asymptotic contractions and Boyd-Wong type E-contractions in uniform spaces

In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version ofKirk's fixed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.

full text

Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces

and Applied Analysis 3 The purpose of this paper is to generalize the above results using an ICS mapping T : X → X and involving some generalized weak contractions of Boyd-Wong-type 31 . Also, some examples are presented to show that our results are effective. 2. Main Result First, denote by Φ the set of functions φ : 0, ∞ → 0, ∞ satisfying a φ t < t for all t > 0, b φ is upper semicontinuous f...

full text

A Fixed Point Result for Boyd-Wong Cyclic Contractions in Partial Metric Spaces

A fixed point theorem involving Boyd-Wong type cyclic contractions in partial metric spaces is proved. We also provide examples to support concepts and results presented herein.

full text

Asymptotic Fixed Points for Nonlinear Contractions

There are many papers in the literature that discuss the asymptotic fixed point theory, in which the existence of the fixed points is deduced from the assumption on the iterates of an operator (e.g., [1, 6] and the references therein). Recently, Kirk [5] studied an asymptotic fixed point theorem concerning nonlinear contractions. He proved the following theorem [5, Theorem 2.1] by appealing to ...

full text

Fixed points for Banach and Kannan contractions in modular spaces with a graph

In this paper, we discuss the existence and uniqueness of xed points for Banach and Kannancontractions dened on modular spaces endowed with a graph. We do not impose the Δ2-conditionor the Fatou property on the modular spaces to give generalizations of some recent results. Thegiven results play as a modular version of metric xed point results.

full text

$G$-asymptotic contractions in metric spaces with a graph and fixed point results

In this paper, we discuss the existence and uniqueness of fixed points for $G$-asymptotic contractions in metric spaces endowed with a graph. The result given here is a new version of Kirk's fixed point theorem for asymptotic contractions in metric spaces endowed with a graph. The given result here is a generalization of fixed point theorem for asymptotic contraction from metric s paces to metr...

full text

My Resources

Save resource for easier access later


Journal title:
bulletin of the iranian mathematical society

Publisher: iranian mathematical society (ims)

ISSN 1017-060X

volume 39

issue 6 2013

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023