References

ON VARIATIONAL INEQUALITIES AND COMMON FIXED POINT PROBLEMS IN SMOOTH BANACH SPACES


[1] G. Stampacchia, Formes bilineaires coercivities sur les ensembles convexes, C. R. Acad. Sci. Paris 258 (1964), 4413-4416.

[2] K. Aoyama, H. Iiduka and W. Takahashi, Weak convergence of an iterative sequence for accretive operators in Banach spaces, Fixed Point Theory Appl., Article ID 35390 (2006).

[3] S. Kamimura and W. Takashiha, Approximating solutions of maximal monotone operators in Hilbert spaces, J. Approx. Theory 106 (2000), 226-240.

[4] S. Kamimura and W. Takashiha, Weak and strong convergence of solutions to accretive operator inclusion and applications, Set-valued Anal. 8(4) (2000), 361-374.

[5] H. Iiduka, W. Takashiha and M. Toyoda, Approximation of solutions of variational inequalities for monotone mappings, Panam. Math. J. 14(2) (2004), 49-61.

[6] X. Qin, S. Y. Cho and S. M. Kang, Convergence of an iterative algorithm for system of variational inequalities and nonexpansive mappings with applications, J. Comput. Appl. Math. 233 (2009), 231-240.

[7] N. Onjai-uea, P. Katchang and P. Kumam, Strong convergence theorems for solving a general system of finite variational inequalities for finite accretive operators and fixed points of nonexpansive semigroups with weak contraction mappings, Fixed Point Theory and Application 2012, 2012:114.

[8] L. C. Ceng, C. Wang and J. C. Yao, Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities, Math. Methods Oper. Res. 67 (2008), 375-390.

[9] Y. Yao, M. A. Noor, K. I. Noor and Y. C. Liou, Modified extragradient methods for a system of variational inequalities in Banach spaces, Acta Appl. Math. 110 (2010), 1211-1224.

[10] S. Reich, Asymptotic behaviour of contractions in Banach spaces, J. Math. Anal. Appl. 44 (1973), 57-70.

[11] H. Zhang and Y. F. Su, Strong convergence theorems for strict pseudocontraction in a q-uniformly smooth Banach spaces, Nonl. Anal. 70(9) (2009), 3236-3242.

[12] R. E. Bruck, Properties of fixed point sets of nonexpansive mappings in Banach spaces, Trans. Amer. Math. Soc. 179 (1973), 251-262.

[13] D. S. Mitrinvić, Analytic Inequalities, Springer, New York, NY, USA, 1970.

[14] P. Sunthrayuth and P. Kuman, Iterative methods for variational inequality problems and fixed point problems of a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces, Fixed Point Theory and Application 2012(2012), Article 65.

[15] H. K. Xu, Inequalities in Banach spaces with applications, Nonl. Anal. 16 (1991), 1127-1138.

[16] Y. L. Song, H. Y. Hu and L. C. Ceng, On variational inclusion and common fixed point problem in q-uniformly smooth Banach spaces, J. Appl. Math. (2012), ID865810, 20 pages.

[17] T. Suzuki, Strong convergence of Krasnoselskii and Mann’s type sequences for one parameter nonexpansive semi-groups without Bochner integrals, J. Math. Anal. Appl. 305 (2005), 227-239.