an:06261042
Zbl 1423.54090
Mohammadi, B.; Rezapour, S.; Shahzad, N.
Some results on fixed points of \({\alpha}\)-\(\psi\)-??iri?? generalized multifunctions
EN
Fixed Point Theory Appl. 2013, Paper No. 24, 10 p. (2013).
00328752
2013
j
54H25 54E40 54C60 54E50
\({\alpha}\)-\(\psi\)-??iri?? generalized multifunction; fixed point; quasi-contractive multifunction
Summary: In [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 2154--2165 (2012; Zbl 1242.54027)], \textit{B. Samet} et al. introduced \({\alpha}\)-\(\psi\)-contractive mappings and gave some results on a fixed point of the mappings. In fact, their technique generalized some ordered fixed point results (see [\textit{H. Alikhani} et al., Filomat 27, No. 7, 1315--1319 (2013; Zbl 1340.54053); Samet et al., loc. cit.]. By using the main idea of Samet et al. [loc. cit.], we give some new results for \({\alpha}\)-\(\psi\)-??iri?? generalized multifunctions and some related self-maps. Also, we give an affirmative answer to a recent open problem which was raised by \textit{R. H. Haghi} et al. [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1799--1803 (2011; Zbl 1251.54045)].
Zbl 1242.54027; Zbl 1340.54053; Zbl 1251.54045