On Frigon-Granas type multifunctions satisfying an implicit relation

• Autorzy: Popa V.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to prove two general fixed point theorems for two multifunctions T1,T2 : B(xo,r) - > Pcl(X) satisfying an implicit relation, which generalize Theorem 3.1 [2], Theorem 3.1 [3], Theorem 3.1 [1] and Theorem 3.1 [6]. In the last part we extend the results for a sequence of multifunctions.

Słowa kluczowe

EN

multifunction; fixed point; implicit relation

PL

multifunkcje; punkt stały; relacje uwikłane

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 4
• Strony: 907--912
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Popa V.

• Str. Soimului Nr 13 Sc. A Ap. 5, 600 029 Bacau, Romania,

Bibliografia

• [1] R. P. Agarwal, D. O'Regan, Fixed point theory for acyclic maps between topological vector spaces having sufficiently many linear functionals, and generalized contractive maps with closed values between complete metric spaces, R. P. Agarwal (ed.) et al., Set valued mappings with applications in nonlinear analysis, Taylor & Francis, London, Ser. Math. Anal. Appl. 4 (2002), 17-26.
• [2] M. Frigon, A. Granas, Resultats du type de Leray-Schauder pour des contractions multivoques, Topol. Methods Nonlinear Anal. 4 (1994), 197-208.
• [3] A. Petruşel, On Frigon-Granas type multifunctions, Nonlinear Anal. Forum 7 (2002), 113-121.
• [4] V. Popa, Some fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat., Univ. Bacau, 7 (1997), 127-133.
• [5] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1999), 157-163.
• [6] A. Sintămărian, Selections and common fixed points for some generalized multivalued contractions, Demonstratio Math. 39 (2006), 609-617.