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Zbl 1210.47078
Păcurar, Mădălina
Remark regarding two classes of almost contractions with unique fixed point. (English)
[J] Creat. Math. Inform. 19, No. 2, 178-183 (2010). ISSN 1584-286X; ISSN 1843-441X/e

Summary: We discuss the equivalence between two classes of almost contractions with unique fixed point, namely those introduced in {\it V.\,Berinde} [Nonlinear Anal.\ Forum 9, No.\,1, 43--53 (2004; Zbl 1078.47042)] and, respectively, {\it G.\,V.\,R.\thinspace Babu}, {\it M.\,L.\thinspace Sandhya} and {\it M.\,V.\,R.\thinspace Kameswari} [Carpathian J.~Math.\ 24, No.\,1, 8--12 (2008; Zbl 1199.54205)]. Interesting generalizations are possible in view of this equivalence.

MSC 2000:: *47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
54H25 Fixed-point theorems in topological spaces

Keywords: almost contraction; strict almost contraction; $(B)$-almost contraction; fixed point

Citations: Zbl 1078.47042; Zbl 1199.54205

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