A Unique Common Fixed Point for an Infinity of Set-Valued Maps

• Autorzy: Hakima Bouhadjera
• Języki publikacji: EN

Abstrakty

EN

The main purpose of this paper is to establish some common fixed point theorems for single and set-valued maps in complete metric spaces, under contractive conditions by using minimal type commutativity and without continuity. These theorems generalize, extend and improve the result due to Elamrani and Mehdaoui ([2]) and others. Also, common fixed point theorems in metric spaces under strict contractive conditions are given. (original abstract)

Słowa kluczowe

EN

Mathematics

PL

Matematyka

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2018
• Tom: 32
• Strony: 79--97

Twórcy

autor

Hakima Bouhadjera

• Badji-Mokhtar University, Algeria

Bibliografia

• Djoudi A., Khemis R., Fixed points for set and single valued maps without continuity, Demonstratio Math. 38 (2005), no. 3, 739-751.
• Elamrani M., Mehdaoui B., Common fixed point theorems for compatible and weakly compatible mappings, Rev. Colombiana Mat. 34 (2000), no. 1, 25-33.
• Jungck G., Compatible mappings and common fixed points, Internat. J. Math. Math. Sci. 9 (1986), no. 4, 771-779.
• Jungck G., Rhoades B.E., Some fixed point theorems for compatible maps, Internat. J. Math. Math. Sci. 16 (1993), no. 3, 417-428.
• Jungck G., Rhoades B.E., Fixed points for set valued functions without continuity, Indian J. Pure Appl. Math. 29 (1998), no. 3, 227-238.
• Khan M.S., Swaleh M., Sessa S., Fixed point theorems by altering distances between the points, Bull. Austral. Math. Soc. 30 (1984), no. 1, 1-9.
• Popa V., Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1999), no. 1, 157-163.
• Sessa S., On a weak commutativity condition of mappings in fixed point considerations, Publ. Inst. Math. (Beograd) (N.S.) 32(46) (1982), 149-153.
• Sessa S., Fisher B., On common fixed points of weakly commuting mappings and setvalued mappings, Internat. J. Math. Math. Sci. 9 (1986), no. 2, 323-329.
• Sessa S., Khan M.S., Imdad M., A common fixed point theorem with a weak commutativity condition, Glas. Mat. Ser. III 21(41) (1986), no. 1, 225-235.

Identyfikatory

DOI

10.1515/amsil-2017-0017