Fixed point theorems of Perov type
Author
Cvetković, Marija S.Mentor
Rakočević, Vladimir R.Committee members
Pavlović, VladimirGajić, Ljiljana
Milovanović, Gradimir
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In this dissertation is introduced a new class of contractions in
the setting of cone metric space, both solid and normal, by
including an operator as a contractive constant. Some wellknown
fixed point theorems are improved and obtained results
generalize, Banach, Perov, Ćirić and Fisher theorem, among
others. Common fixed point problem for a pair or a sequence
of mappings is studied from a different point of view. Wide
range of applications is corroborated with numerous examples.