Well-posedness of fixed point problem for mappings satisfying an implicit relation

• Autorzy: Akkouchi M. , Popa V.
• Języki publikacji: EN

Abstrakty

EN

The notion of well-posedness of a fixed point problem has generated much interest to a several mathematicians, for example, F. S. De Blassi and J. Myjak (1989), S. Reich and A. J. Zaslavski (2001), B. K. Lahiri and P. Das (2005) and V. Popa (2006 and 2008). The aim of this paper is to prove for mappings satisfying some implicit relations in orbitally complete metric spaces, that fixed point problem is well-posed.

Słowa kluczowe

EN

well-posedness; fixed point problem; fixed points; implicit relations; strict implicit contractive mappings; orbitally complete metric spaces

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 4
• Strony: 923--929
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Akkouchi M.

autor

Popa V.

• Université Cadi Ayyad, Faculté Des Sciences-Semlalia Département De Mathématiques Av. Prince My Abdellah, BP. 2390 Marrakech, Maroc,

Bibliografia

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• [3] R. Kannan, Some results of fixed points II , Amer. Math. Monthly 76(45) (1969), 405–408.
• [4] B. K. Lahiri, P. Das, Well-posedness and porosity of certain classes of operators, Demonstratio Math. 38 (2005), 170–176.
• [5] V. Popa, Fixed point theorems for implicit contractive mappings, Stud. Cerc. St. Ser. Mat. Univ. Bacău 7 (1997), 129–133.
• [6] V. Popa, Some fixed point theorems for compatible mappings satisfying an implicit relation, Demonstratio Math. 32 (1999), 157–163.
• [7] V. Popa, C. Berceanu, A general fixed point theorem for pairs of orbitally continuous mappings, Anal. Univ. Dunărea de Jos Galati, Math. Phys. Teoret. Mech., Fasc. II 21(26) (2003), 57–65.
• [8] V. Popa, Well-posedness of fixed point problem in orbitally complete metric spaces, Stud. Cerc. St. Ser. Mat. Univ. 16 (2006), Supplement. Proceedings of ICMI 45, Bacău, Sept. 18-20 (2006), 209–214.
• [9] V. Popa, Well-posedness of fixed point problem in compact metric spaces, Bul. Univ. Petrol-Gaze, Ploiesti, Sec. Mat. Inform. Fiz. 60, 1 (2008), 1–4.
• [10] S. Reich, A. J. Zaslavski, Well-posedness of fixed point problems, Far East Journal Mathematical Sciences, Special volume 2001, Part III, 393–401.
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