Stability theorem involving comparison functions and E-distance in Hausdorff uniform spaces

• Autorzy: Bosede A. O.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish stability result for a pair of selfmappings in Hausdorff uniform spaces by employing the notion of comparison functions as well as the concept of E-distance introduced by Aamri and El Moutawakil [1]. Our results improve and unify some of the known stability results in literature.

Słowa kluczowe

EN

E-distance; Hausdorff uniform spaces; comparison functions; ψ-contractions; stability results

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2013
• Tom: Nr 51
• Strony: 45--52
• Opis fizyczny: Bibliog. 18 poz.

Twórcy

autor

Bosede A. O.

• Department of Mathematics Lagos State University Ojo, Lagos State, Nigeria

Bibliografia

• [1] Aamri M., El Moutawakil D., Common fixed point theorems for E-contractive or E-expansive maps in uniform spaces, Acta Math. Acad. Paedagog. Nyhazi. (N.S.), 20(1)(2004), 83-91.
• [2] Berinde V., On stability of some fixed point procedures, Univ. Baia Mare, Ser. B, Mathematică-Informatica, XVIII, 1(2002), 7-14.
• [3] Berinde V., Iterative Approximation of Fixed Points, Editura Efemeride, Baia Mare, 2002.
• [4] Bosede A.O., On generalizations of some common fixed point theorems in uniform spaces, Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis, 27(2011), 289-297.
• [5] Bosede A.O., Akinbo G., Some stability theorems associated with A-distance and E-distance in uniform spaces, Acta Universitatis Apulensis, 26(2011), 121-128.
• [6] Bourbaki N., Éléments de Mathematiąue. Fasc. II. Livre III: Topologie générale. Chapitre 1: Structures Topologiques. Chapitre 2: Structures Uniformes. Quatriéme édition., Actualités Scientifiques et Industrielles, No. 1142. Hermann, Paris, 1965.
• [7] Harder A.M., Hicks T.L., Stability results for fixed point iteration procedures, Math. Japonica, 33(5)(1988), 693-706.
• [8] Jachymski J., Fixed point theorems for expansive mappings, Math. Japon., 42(1)(1995), 131-136.
• [9] Kada O., Suzuki T., Takahashi W., Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japon., 44(2)(1996), 381-391.
• [10] Kang S.M., Fixed points for expansion mappings, Math. Japon., 38(4)(1993), 713-717.
• [11] Olatinwo M.O., Some common fixed point theorems for selfmappings in uniform spaces, Acta Math. Acad. Paedagog. Nyhazi. (N.S.), 23(2007), 47-54.
• [12] Rhoades B.E., Fixed point theorems and stability results for fixed point iteration procedures, Indian J. Pure Appl. Math., 21(1)(1990), 1-9.
• [13] Rhoades B.E., Fixed point theorems and stability results for fixed point iteration procedures II, Indian J. Pure Appl. Math., 24(11)(1993), 691-703.
• [14] Rodrigues-Montes J., Charris J.A., Fixed points for W-contractive or W-expansive maps in uniform spaces: toward a unified approach, Southwest J. Pure Appl. Math., 1(2001), 93-101.
• [15] Rus I.A., Generalized Contractions and Applications, Cluj University Press, Cluj-Napoca, 2001.
• [16] Rus I.A., Petrusel a., Petrusel G., Fixed Point Theory: 1950-2000, Romanian Contributions, House of the Book of Science, Cluj-Napoca, 2002.
• [17] Wang S.Z., Li B.Y., Gao Z.M., Iséki K., Some fixed point theorems on expansion mappings, Math. Japon., 29(4)(1984), 631-637.
• [18] Zeidler E., Nonlinear Functional Analysis and Its Applications: Fixed Point Theorems, Springer-Verlag, New York, 1986.