Common xed point theorem for w-distance with new integral type contraction

الموضوعات :

E. Firouz ¹ , S. J. Hosseini Ghoncheh ²

1 - Department of Mathematics, Islamic Azad University, Abhar Branch, Abhar, Iran.
2 - Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.

تاريخ الإرسال : 08 الإثنين , ذو الحجة, 1436 تاريخ التأكيد : 08 الإثنين , ذو الحجة, 1436 تاريخ الإصدار : 09 الإثنين , صفر, 1436

الکلمات المفتاحية: fixed point, Common fixed point, Integral type contraction, w-distance,

ملخص المقالة :

Boujari [5] proved a fixed point theorem with an old version of the integraltype contraction , his proof is incorrect. In this paper, a new generalizationof integral type contraction is introduced. Moreover, a fixed point theorem isobtained.

المصادر:

[1] M. Asadi, S. Mansour Vaezpour and H. Soleimani, Some Results for CAT(0)
Spaces, Mathematics Scientic Journal, 7 (2011) 11{19.
[2] V. Berinde, A priori and a posteriori error estimates for a class of -
contractions, Bulletins for Applied & Computing Mathematics, (1999), 183-
192.

[3] V. Berinde, Iterative approximation of xed points, Editura Efemeride,
Baia Mare, 2002.
[4] M. Beygmohammadi, A. Razani,Two xed-point theorems for mappings
satisfying a general contractive condition of integral type in the modular
space,Int. J. Math. Math. Sci., Article ID 317107, (2010), 10 pages.
[5] M. Boujari, Common xed point theorem with w-distance, Mathematical
Science, 4 (2010), 135{142.
[6] A. Branciari, A xed point theorem for mapping satisfying a general
contractive condition of integral type,Int. J. Math. Math. Sci., 10 (2002),
531{536.
[7] S. J. Hosseini Ghoncheh, A. Razani, R. Moradi, B.E. Rhoades, A Fixed
Point Theorem for a General Contractive Condition of Integral Type in
Modular Spaces, J. Sci. I. A. U (JSIAU), 20 (2011), 89{100.
[8] O. Kada, T. Suzuki, W. Takahashi, Nonconvex minimization theorems and
xed point theorems in complete metric spaces, Math. Japonica 44 (1996),
381{591.
[9] A. Razani and R. Moradi, Common xed point theorems of integral type
in modular spaces,Bulletin of the Iranian Mathematical Society 35 (2009),
11{24.
[10] B. E. Rhoades, Two xed point theorems for mappings satisfying a general
contractive condition of integral type, Int. J. Math. Math. Sci, 63 (2003),
4007-4013.
[11] S. Shabani and S. J. Hosseini Ghoncheh, Approximating xed points
of generalized non-expansive non-self mappings in CAT(0) spaces,
Mathematics Scientic Journal, 7 (2011) 89{95.