Some common fixed point theorems for occasionally weakly compatible mappings satisfying implicit relation and contractive modulus

• Autorzy: Bouhadjera H , Popa V.
• Języki publikacji: EN

Abstrakty

EN

In this note, we prove some common fixed point theorems for occasionally weakly compatible mappings satisfying an implicit relation and a contractive modulus.

Słowa kluczowe

EN

weakly compatible mappings; compatible mappings; occasionally weakly compatible mappings; implicit relations; contractive modulus; common fixed point theorem; metric space

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2013
• Tom: Nr 51
• Strony: 53--60
• Opis fizyczny: Bibhliogr. 7 poz.

Twórcy

autor

Bouhadjera H

• Laboratoire de Mathématiques Appliquées Université Badji Mokhtar B.P. 12, 23000, Annaba, Algérie

autor

Popa V.

• Department of Mathematics University Vasile Alecsandri of Bacău Bacău, Romania

Bibliografia

• [1] Al-Thagafi M.A., Shahzad N., Generalized I-nonexpansive selfmaps and invariant approximations, Acta Math. Sin. (Engl. Ser.), 24(5)(2008), 867-876.
• [2] Bouhadjera H., On common fixed point theorems for three and four self mappings satisfying contractive conditions, Acta Univ. Palacki. Olomuc., Fac. Rer. Nat., Mathematica 49, 1(2010), 25-31.
• [3] Jungck G., Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9(4)(1986), 771-779.
• [4] Jungck G., Rhoades B.E., Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory, 7(2)(2006), 287-296.
• [5] Popa V., Some fixed point theorems for compatible mappings satisfying an implicit relation, Dem. Math., 32(1999), 157-163.
• [6] Popa V., Some fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Matem. Univ. Bacău, 7(1997), 227-233.
• [7] Sessa S., On a weak commutativity condition in fixed point considerations, Publ. Inst. Math. (Beograd) (N.S.), 32(46)(1982), 149-153.