Open AccessEndpoints of φ-weak and generalized φ-weak contractive mappings
Author(s) -
Sirous Moradi,
Farshid Khojasteh
Publication year - 2012
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1204725m
Subject(s) - mathematics , metric space , metric (unit) , pure mathematics , combinatorics , economics , operations management
Let (X,d) be a complete metric space, and let T : X −→ Pcl,bd(X) be a multi-valued φ-weak or generalized φ-weak contractive mapping. Then T has a unique endpoint if and only if T has the approximation endpoints property. Our results extend previous results given by ´ CiriNadler (1969), Daffer-Kaneko (1995), Rhoades (2001), Rouhani and Moradi (2010), Amini-Harandi (2010) and Moradi and Khojasteh (2011).
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