A common fixed point theorem for two multifunctions defined on closed ball

• Autorzy: Popa V.
• Języki publikacji: EN

Abstrakty

EN

We prove a common fixed point theorem for two mul-tifunctions defined on a closed ball of a complete metric space with values in the set of all nonempty and closed subsets of this space, multifunctions which satisfy an implicit contractive relation of Latif-Beg type.

Słowa kluczowe

EN

multifunction; fixed point; common fixed point; implicit relation; contractive mapping of Latif-Beg type

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2008
• Tom: Nr 39
• Strony: 63--69
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Popa V.

• Department of Mathematics, University of Bacau, Str. Spiru Haret Nr. 8, 600114 Bacau, Romania,

Bibliografia

• [1]AGARWAL R . P . , O’REGAN D . , 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, Ser. Math. Anal. Appl., 4(2002), 17-26.
• [2]FRIGON M., GRANAS A . , Resultats du type de Leray-Schauder pour des contractions multivoques, Topol. Methods Nonlinear Anal., 4(1994), 197-208.
• [3]LATIF A . , BEG 1., Geometric fixed point for single and multivalued mappings, Demonstratio Math., 30(1997), 791-800.
• [4]PETRUŞEL Α., On Frigon-Granas type multifunctions, Nonlinear Anal. Forum,7(2002), 113-121.
• [5]POPA V., Some fixed point theorems for implicit contractive mappings, Stud.Cere. St. Ser. Mat., Univ. Bacău, 7(1997), 127-133.
• [6]POPA V . , Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math., 32(1999), 157-163.
• [7]SÎNTĂMĂRIAN A., Selections and common fixed points for some generalized multivalued contractions, Demonstratio Math., 39(2006), 609-617.
• [8]SÎNTĂMĂRIAN Α., Selections and common fixed points for some multivalued mappings, Fixed Point Theory, 7(2006), 103-110.