Approximation of endpoints for multi-valued mappings in metric spaces

Authors

  • J. Ahmad Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkha, Pakistan
  • K. Ullah Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkha, Pakistan
  • N. Muhammad Department of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkha, Pakistan
Abstract:

In this paper, under some appropriate conditions, we prove some $Delta$ and strong convergence theorems of endpoints for multi-valued nonexpansive mappings using modified Agarwal-O'Regan-Sahu iterative process in the general setting of 2-uniformly convex hyperbolic spaces. Our results extend and unify some recent results of the current literature.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Endpoints of multi-valued cyclic contraction mappings

Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).

full text

Approximate Endpoints for Set-Valued Contractions in Metric Spaces

The existence of approximate fixed points and approximate endpoints of the multivalued almost I-contractions is established. We also develop quantitative estimates of the sets of approximate fixed points and approximate endpoints for multivalued almost I-contractions. The proved results unify and improve recent results of Amini-Harandi 2010 , M. Berinde and V. Berinde 2007 , Ćirić 2009 , M. Păc...

full text

Endpoints of set-valued asymptotic contractions in metric spaces

By introducing a new concept called ‘‘set-valued asymptotic contraction’’ in metric spaces, the existence and uniqueness of endpoints for a set-valued asymptotic contraction which has the approximate endpoint property have been established. © 2010 Elsevier Ltd. All rights reserved.

full text

Non-metric continua and multi-valued mappings

A continuum is an arboroid if it is hereditarily unicoherent and arcwise connected. A metric arboroid is a dendroid. A generalized dendrite is a locally connected arboroid. Among other things, we shall prove that a locally connected continuum X is a generalized dendrite if and only if X has the fixed point property for continuous, closed set-valued mappings.

full text

Common Fixed Point Theorems for Pair of Generalized Multi-valued Mappings in Cone Metric Spaces

In This paper, we generalize and obtain common fixed point theorems for a pair of mappings satisfying generalized multi-valued type contractive condition in the setting of cone metric spaces with normal constant 1.Our results generalize the recent results of varies authors.

full text

Stationary Points for Set-valued Mappings on Two Metric Spaces

We give stationary point theorems of set-valued mappings in complete and compact metric spaces. The results in this note generalize a few results due to Fisher. 2000 Mathematics Subject Classification. 54H25.

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 09  issue 02

pages  129- 137

publication date 2020-06-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023