An iterative procedure for solving the common solution of two total quasi-φ-asymptotically nonexpansive multi-valued mappings in Banach spaces

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Publication Details

Author list: Phuangphoo P., Kumam P.

Publisher: Springer

Publication year: 2013

Journal: Journal of Applied Mathematics and Computing (1598-5865)

Volume number: 42

Issue number: #

Start page: 321

End page: 338

Number of pages: 18

ISSN: 1598-5865

eISSN: 1865-2085

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84880044949&doi=10.1007%2fs12190-012-0630-4&partnerID=40&md5=52e8b43758093671bcdcbfb345b2a647

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we introduce a new iterative procedure which is constructed by the shrinking hybrid projection method for solving the common solution of fixed point problems for two total quasi-φ-asymptotically nonexpansive multi-valued mappings. Under suitable conditions, the strong convergence theorems are established in a uniformly smooth and strictly convex real Banach space with Kadec-Klee property. Our result improves and extends the corresponding ones announced by some authors. © 2012 Korean Society for Computational and Applied Mathematics.

Keywords

Iterative procedure, Multi-valued mappings