Fixed point theorems of Perov type
Cvetković, Marija S.
Faculty:Универзитет у Нишу, Природно-математички факултет
Rakočević, Vladimir R.
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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.
Keywords:nelinearna analiza; nonlinear analysis; functional analysis; funkcionalna analiza