Firouz, E., Hosseini Ghoncheh, S. (2012). Common xed point theorem for w-distance with new integral type contraction. Theory of Approximation and Applications, 8(2), 33-39.

E. Firouz; S. J. Hosseini Ghoncheh. "Common xed point theorem for w-distance with new integral type contraction". Theory of Approximation and Applications, 8, 2, 2012, 33-39.

Firouz, E., Hosseini Ghoncheh, S. (2012). 'Common xed point theorem for w-distance with new integral type contraction', Theory of Approximation and Applications, 8(2), pp. 33-39.

Firouz, E., Hosseini Ghoncheh, S. Common xed point theorem for w-distance with new integral type contraction. Theory of Approximation and Applications, 2012; 8(2): 33-39.

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

^{1}Department of Mathematics, Islamic Azad University, Abhar Branch, Abhar, Iran.

^{2}Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.

Abstract

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

References

[1] M. Asadi, S. Mansour Vaezpour and H. Soleimani, Some Results for CAT(0) Spaces, Mathematics Scientic 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 Scientic Journal, 7 (2011) 89{95.