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۱STRONG CONVERGENCE THEOREMS FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF STRICT PSEUDO–CONTRACTION MAPPINGS (انگلیسی)
نویسنده(ها): ، ،
اطلاعات انتشار: مجله علوم غيرخطي و كاربردهاي آن، دوم،شماره۲، ۲۰۰۹، سال
تعداد صفحات: ۱۴
The purpose of this paper is to introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a k−strict pseudo–contraction non–self mapping in Hilbert space. By the viscosity approximation algorithms, under suitable conditions , some strong convergence theorems for approximating to this common elements are proved. The results presented in the paper extend and improve some recent results of Marino and Xu [G.Marino,H.K.Xu, Weak and strong convergence theorems for k−strict pseudo–contractions in Hilbert spaces, J.Math. Anal. Appl. 329 (2007) 336–349], Zhou [H.Zhou, Convergence theorems of fixed Points for k−strict pseudo–contractions in Hilbert spaces, Nonlinear Anal. 69 (2008) 456–462], Takahashi and Takahashi [S. Takahashi, W. Takahashi, Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces, J. Math. Anal. Appl. 331 (2007) 506– 515], Ceng,Homidan,etc [L. C. Ceng, S.A.Homidan, Q.H.Ansari, J. C. Yao, An iterative scheme for equilibrium problems and fixed point problems of strict pseudo–contraction mappings, J. Comput. Appl. Math. 223 (2009) 967–974].
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