GAZETA MATEMATICA˘ - SSMR

GAZETA MATEMATIC ASERIA AANUL XXXV (CXIV)Nr. 1 2/ 2017 ARTICOLESome results concerning fixed points of -contractionsLoredana Ioana1)Abstract. Existence and uniqueness of fixed points of - contractions , inthe general sense, are given. Three proofs of a variant of the Boyd-Wongtheorem are presented. Using the conclusion of the theorem, some otherresults concerning the attractor of a GIFS of - contractions are :fixed point; Boyd-Wong theorem; :Primary 54H25; Secondary and preliminariesIn the last few decades, fixed point theory has had a very flourishingdevelopment, mainly because of its large range of beginning of the theory was in a certain way the classical Banachtheorem, which states that ifXis a complete metric space andfis a mappingofXinto itself which satisfiesd(f(x), f(y)) d(x, y),for some [0,1) and allx, y X,thenfhas]

4 Articole The notion of φ-contraction plays an important part in [7], too.Various metrical fixed point theorems are established for (X,d) a metric space andf: X → X a mapping or an operator satisfying one of a number of conditions of contraction type. Some of them are: (i) (Banach (1922)) There exists a number a ∈ [0,1) such that d

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  Mapping, Contractions

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