Strong Convergence Theorems for Strictly Pseudo-contractive Mappings by Viscosity Approximation Methods in Banach Spaces
نویسندگان
چکیده
In this paper, we introduce a modified Mann iterative process for strictly pseudo-contractive mappings and obtain a strong convergence theorem in the framework of q-uniformly smooth Banach spaces. Our results improve and extend the recent ones announced by (Kim and Xu 2005), (Xu 2004) and some others.
منابع مشابه
Strong convergence theorems on a viscosity approximation method for a “nite family of pseudo-contractive mappings in Banach spaces
In this paper, a new viscosity iterative process, which converges strongly to a common element of the set of fixed points of a finite family of pseudo-contractive mappings more general than non-expansive mappings, is introduced in Banach spaces. Strong convergence theorems are obtained under milder conditions. The results presented in this paper extend and unify most of the results that have be...
متن کاملStrong Convergence Theorems for a Common Fixed Point of a Finite Family of Multivalued Mappings in Certain Banach Spaces
Abstract In this paper, we introduce an new iterative algorithm for finding an element of the set of common fixed points for a fanite familiy of multivalued k-strictly pseudo contractive mappings in q-uniformly smooth real Banach spaces. Further, we prove strong convergence theorems of the iterative sequence generated by the proposed algorithm under suitable conditions. Our results extend and i...
متن کاملViscosity Approximation Methods for Strict Pseudo-Contractive Nonself-Mappings in Hilbert Spaces
In this paper, we introduce a new iterative scheme by viscosity approximation methods for strict pseudo-contractive nonself-mappings in Hilbert spaces and obtain a strong convergence theorem. The theorem improves and extends the result of Shimizu and Takahashi [T. Shimizu, W. Takahashi, Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211 (199...
متن کاملA new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces
In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.
متن کاملViscosity approximation methods based on generalized contraction mappings for a countable family of strict pseudo-contractions, a general system of variational inequalities and a generalized mixed equilibrium problem in Banach spaces
In this paper, we introduce viscosity approximation methods based on generalized contractionmappings for finding a set of common fixed points of a countable family of strict pseudo-contractionmappings, the commonelement of the set solutions of a general system of variational inequalities with Lipschitzian and relaxed cocoercive mappings and the set of solutions of a generalizedmixed equilibrium...
متن کامل