Strong convergence theorem by shrinking projection method for new nonlinear mappings in Banach spaces and applications
Authors:
- 6 January 2017
- journal article
- research article
- Published by Taylor & Francis in Optimization
- Vol. 66 (4) , 609-621
Abstract
In this paper, we introduce the concept of a new nonlinear mapping called demigeneralized in a Banach space. Then, using the shrinking projection method, we prove a strong convergence theorem for finding a common fixed point for a family of the new nonlinear mappings in a Banach space. We apply this result to obtain new strong convergence theorems in a Hilbert space and a Banach space, respectively.Keywords
Funding Information
- Japan Society for the Promotion of Science (105-2115-M-039-002-MY3)
- Japan Society for the Promotion of Science (15K04906)
- Japan Society for the Promotion of Science (105-2115-M-037-001)
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