Khader, M., Saejung, S., Gao, J. (2015). Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-UKK spaces. test, 23(1), 113-118. doi: 10.1016/j.joems.2014.01.004
M.M. Khader; Satit Saejung; Ji Gao. "Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-UKK spaces". test, 23, 1, 2015, 113-118. doi: 10.1016/j.joems.2014.01.004
Khader, M., Saejung, S., Gao, J. (2015). 'Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-UKK spaces', test, 23(1), pp. 113-118. doi: 10.1016/j.joems.2014.01.004
Khader, M., Saejung, S., Gao, J. Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-UKK spaces. test, 2015; 23(1): 113-118. doi: 10.1016/j.joems.2014.01.004

Fixed points, normal structure and moduli of semi-UKK, semi-NUC and semi-UKK spaces

Journal of the Egyptian Mathematical Society
Volume 23, Issue 1, 2015, Pages 113-118    PDF (437.63 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.01.004
Authors
M.M. Khader1; Satit Saejung2; Ji Gao* 3
1Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
2Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand
3Department of Mathematics, Community College of Philadelphia, Philadelphia, PA 19130-3991, USA
Abstract
Let X and X be a Banach space and its dual. In this paper a new kind of separation measure, u-separation, is introduced. The new kind of Banach spaces: semi-UKK and semi-NUC, and
modulus of semi-UKK and modulus of semi-NUC are introduced in terms of this u-separation
measure. The relationships of these moduli with normal structure, reflexivity and other convex
properties are studied respectively. Many known results for fixed points of nonexpansive mappings
are improved upon. The u-separation measure and its properties in X are also defined and studied.
Keywords
Fixed point; Modulus of semi-UKK; Modulus of semi-NUC; Modulus of semi-UKK*; Nonexpansive mapping; Normal structure
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