Iterative Algorithms with Variable Coefficients for Multivalued Generalized -Hemicontractive Mappings without Generalized Lipschitz Assumption
TL;DR: In this article, Ishikawa-type iterative algorithms with variable coefficients for multivalued generalized -hemicontractive mappings without generalized Lipschitz assumption are established in -uniformly smooth real Banach spaces.
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Abstract: We introduce and study some new Ishikawa-type iterative algorithms with variable coefficients for multivalued generalized -hemicontractive mappings. Several new fixed-point theorems for multivalued generalized -hemicontractive mappings without generalized Lipschitz assumption are established in -uniformly smooth real Banach spaces. A result for multivalued generalized -hemicontractive mappings with bounded range is obtained in uniformly smooth real Banach spaces. As applications, several theorems for multivalued generalized -hemiaccretive mapping equations are given.
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References
Weak and strong convergence theorems for fixed points of asymptotically nonexpensive mappings
M.O. Osilike,S. C. Aniagbosor +1 more
TL;DR: Weak and strong convergence theorems for the iterative approximation of fixed points of T are proved in this paper, where the boundedness requirement imposed on the subset K in recent results of Huang [1], Rhoades [2], and Schu [3,4] can be dropped.
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Convergence theorem for zeros of generalized Lipschitz generalized phi-quasi-accretive operators
Charles E. Chidume,C. O. Chidume +1 more
- 13 Jun 2005
TL;DR: In this article, a generalized Lipschitz generalized Φ-quasi-accretive mapping with O(A) ¬= O is shown to converge strongly to the unique solution of the equation Au = 0.
The Solution by Iteration of Nonlinear Equations in Uniformly Smooth Banach Spaces
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Weak and strong convergence theorems of a new iterative process with errors for common fixed points of a finite families of asymptotically nonexpansive mappings in the intermediate sense in Banach spaces
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Iterative construction of fixed points of nonself-mappings in Banach spaces
TL;DR: In this article, the iterative methods for constructing fixed points of non-self-mappings in Banach spaces were studied and several strong convergence results on this algorithm were established under different conditions.
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