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Sirous Moradi

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Arak University
Address: Arak University
Phone:

Research

Title
Common endpoints of generalized weak contractive mappings via separation theorem with applications
Type
JournalPaper
Keywords
generalized weak contraction; endpoint; Hausdorff metric; separation theorem
Year
2015
Journal Fixed Point Theory and Applications
DOI
Researchers Sirous Moradi ، Ali Farajzadeh

Abstract

In this paper, first, we give the separation theorem which is an extension of the separation theorem due to Jachymski and Jó´zwik (J. Math. Anal. Appl. 300:147-159, 2004). Then, by using this and the related results, we prove that two generalized weak contraction multi-valued mappings have a unique common endpoint if and only if either they have the usual approximate endpoint property or they have the common approximate strict fixed point property. This result is an extension and correct version of the main result given by Khojasteh and Rakoˇcevi´c (Appl. Math. Lett. 25:289-293, 2012).