On a common fixed point of two random operators using random Mann iteration scheme

• Autorzy: Parsai R. , Rathore M. S. , Chandel R. S.
• Języki publikacji: EN

Abstrakty

EN

In the present note, it is proved that if a random Mann iteration scheme defined by two operators is convergent under some contractive inequality the limit point is a common fixed point of each of two random operators in a Banach space.

Słowa kluczowe

EN

Mann iteration; fixed point; Banach space; measurable mappings

PL

punkt stały; odwzorowanie mierzalne; przestrzeń Banacha

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2009
• Tom: Nr 42
• Strony: 85--89
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Parsai R.

autor

Rathore M. S.

autor

Chandel R. S.

• Medicaps Institute of Technology and Management Department of Applied Mathematics Pigdamber, A.B. Road, Indore - 453 331 (M.P.), India,

Bibliografia

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• [2] Choudhury B.S., Random Mann Iteration Scheme, Appl. Math. Lett., 16 (2003), 93-96.
• [3] Choudhury B.S., Ray M., Convergence of an iteration leading to a solution of a random operator equation, J. Appl. Math. Stoc. Anal., 12(1999), 161-168.
• [4] Choudhury B.S., Upadhyay A., An iteration leading to random solutions and fixed points of operators, Soochow J. Math., 25(1999), 394-400.
• [5] Ciric Lj., Quasi-contractions in Banach spaces, Publ. Inst. Math., 21(35) (1977), 41-48.
• [6] Ganguly A.K., On common fixed point of two mappings, Mathematics Seminar Notes., 8(1980), 343-345.
• [7] Himmelberg C.J., Measurable relations, Fund. Math., LXXXVII(1975), 53-71.
• [8] Kasahara S., Fixed point iterations using linear mappings, Mathematics Seminar Notes, 6(1978), 87-90.
• [9] Rhoades B.E., Extensions of some fixed point theorems of Ciric, Maiti and Pal, Mathematics Seminar Notes., 6(1978), 41-46.