Open AccessA discussion on "α-ψ-Geraghty contraction type mappings"
Author(s) -
Erdal Karapınar
Publication year - 2014
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/fil1404761k
Subject(s) - subadditivity , mathematics , contraction (grammar) , property (philosophy) , pure mathematics , discrete mathematics , epistemology , linguistics , philosophy
In this paper we discuss the subadditivity property of some auxiliary functions which have been used to generalize the contractive conditions on maps. Our results show that this property is not required in many cases and therefore, can be removed. We emphasize that in several papers (see e.g.(1)-(11)) dealing with such contraction mappings, the hypotheses of the main theorems can be restated in the light of our results.
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