Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings inCAT(0)Spaces | Zendy

Erdal Karapınar | Zendy; H. Salahifard | Zendy; S. M. Vaezpour | Zendy

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Demiclosedness Principle for Total Asymptotically Nonexpansive Mappings inCAT(0)Spaces

Author(s) -

Erdal Karapınar,

H. Salahifard,

S. M. Vaezpour

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/738150

Subject(s) - convergence (economics) , algorithm , computer science , mathematics , economics , economic growth

We prove thedemiclosedness principle for a class of mappings which is ageneralization of all the forms of nonexpansive, asymptoticallynonexpansive, and nearly asymptotically nonexpansive mappings. Moreover, we establish the existence theorem and convergencetheorems for modified Ishikawa iterative process in the framework of CAT(0) spaces. Our results generalize, extend, and unify the corresponding results on the topic in the literature

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