Strong andΔ-Convergence Theorems for Common Fixed Points of a Finite Family of Multivalued Demicontractive Mappings in CAT(0)Spaces

Strong 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...

Weak and strong convergence theorems for a finite family of generalized asymptotically quasinonexpansive nonself-mappings

In this paper, we introduce and study a new iterative scheme toapproximate a common xed point for a nite family of generalized asymptoticallyquasi-nonexpansive nonself-mappings in Banach spaces. Several strong and weakconvergence theorems of the proposed iteration are established. The main resultsobtained in this paper generalize and rene some known results in the currentliterature.

Common fixed points of a finite family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the propose iterative scheme under some appropriate conditions.

Strong Convergence Theorems of Common Fixed Points for a Family of Quasi--Nonexpansive Mappings

Strong Convergence Theorems for a Common Fixed Point of a Finite Family of Pseudocontractive Mappings