TY  - JOUR
AU  - Bakr, Sahar Mohamed Ali Abou 
PY  - 2017
TI  - Fixed Point Theorems for Mappings Satisfying Weak Nonexpansivity Condition (Weak Contractivity Condition) into (from) Cartesian Products Normed Spaces
JF  - Journal of Mathematics and Statistics
VL  - 13
IS  - 2
DO  - 10.3844/jmssp.2017.88.97
UR  - https://thescipub.com/abstract/jmssp.2017.88.97
AB  - This paper suggests new types of weak nonexpansive mappings defined from normed space X into its Cartesian product X × X, studies the main features of the fixed points for those mappings and extends the concept of (C)-contractivity condition introduced in some previous research papers. On other side, it introduces new types of contraction mappings with a mixed monotone property; the {a, b, c} M-first type and the {a, b, c} M-second type contractions, these types are defined from the Cartesian product space X × X into X, where X is a sequentially ordered Banach space, proves the existence of first-anti-second and second-anti-first couple fixed points of such types and generalizes some of the results given before.