Some Fixed and Periodic Points in Abstract Metric Spaces

Abd Ghafur Bin Ahmad; Zaid Mohammed Fadail; Mujahid Abbas; Zoran Kadelburg; Stojan Radenović

doi:10.1155/2012/908423

Abstract and Applied Analysis (Jan 2012)

Some Fixed and Periodic Points in Abstract Metric Spaces

Abd Ghafur Bin Ahmad,
Zaid Mohammed Fadail,
Mujahid Abbas,
Zoran Kadelburg,
Stojan Radenović

Affiliations

Abd Ghafur Bin Ahmad: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia
Zaid Mohammed Fadail: School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor Darul Ehsan, Malaysia
Mujahid Abbas: Department of Mathematics, Lahore University of Management Sciences, Lahore 54792, Pakistan
Zoran Kadelburg: Faculty of Mathematics, University of Belgrade, Studentski Trg 16, 11000 Beograd, Serbia
Stojan Radenović: Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia

DOI: https://doi.org/10.1155/2012/908423
Journal volume & issue: Vol. 2012

Abstract

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We generalize in this paper some results on common fixed points of two, respectively four, contractive-type mappings in abstract metric spaces by removing condition of normality of the cone in their formulations. Further, some results about periodic points of self-maps are extended to the setting of abstract metric spaces.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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