9 research outputs found
Remarks on Asymptotic Centers and Fixed Points
We introduce a class of nonlinear continuous mappings defined on a bounded closed
convex subset of a Banach space X. We characterize the Banach spaces in which every
asymptotic center of each bounded sequence in any weakly compact convex subset is
compact as those spaces having the weak fixed point property for this type of mappings
Ishikawa Iterative Process for a Pair of Single-valued and Multivalued Nonexpansive Mappings in Banach Spaces
Let be a nonempty compact convex subset of a uniformly convex Banach space , and let and be a single-valued nonexpansive mapping and a multivalued nonexpansive mapping, respectively. Assume in addition that and for all . We prove that the sequence of the modified Ishikawa iteration method generated from an arbitrary by , , where and , are sequences of positive numbers satisfying , , converges strongly to a common fixed point of and ; that is, there exists such that .</p
Padovan and Perrin generalized quaternions
In this study, we investigate the Padovan (or Cordonnier) and Perrin generalized quaternions. We obtain the new identities for these special quaternions related to matrix forms. We also introduce Binet-like formulae, generating functions, several summation, and binomial properties concerning these quaternions.WOS:0006591192000012-s2.0-8510737562