@article {10.3844/jmssp.2017.88.97, article_type = {journal}, title = {Fixed Point Theorems for Mappings Satisfying Weak Nonexpansivity Condition (Weak Contractivity Condition) into (from) Cartesian Products Normed Spaces}, author = {Bakr, Sahar Mohamed Ali Abou}, volume = {13}, year = {2017}, month = {Apr}, pages = {88-97}, doi = {10.3844/jmssp.2017.88.97}, url = {https://thescipub.com/abstract/jmssp.2017.88.97}, abstract = {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.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }