Common fixed points of mean nonexpansive mappings in Cat(0) spaces
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In this paper, we consider a recently introduced three step iterative process but extended to the case of two mappings in CAT(0) spaces. We give new examples of two mappings which are mean nonex- pansive but not nonexpansive and possess a common fixed point. We establish ∆-convergence and weak convergence results for this iterative process for approximating common fixed points of two mean nonexpan- sive mappings. The results obtained in this paper extend and improve the recent ones announced by many authors in the sense that both our class of mappings and the iterative process are more general. Moreover, our results remain true for the spaces contained in CAT(0) spaces like Banach spaces and R-trees etc.
Abstract
In this paper, we consider a recently introduced three step iterative process but extended to the case of two mappings in CAT(0) spaces. We give new examples of two mappings which are mean nonex- pansive but not nonexpansive and possess a common fixed point. We establish ∆-convergence and weak convergence results for this iterative process for approximating common fixed points of two mean nonexpan- sive mappings. The results obtained in this paper extend and improve the recent ones announced by many authors in the sense that both our class of mappings and the iterative process are more general. Moreover, our results remain true for the spaces contained in CAT(0) spaces like Banach spaces and R-trees etc.
참고문헌 (12)
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