We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Some Results on Fixed and Best Proximity Points of Precyclic Self-Mappings.
- Authors
De la Sen, M.
- Abstract
This paper is devoted to investigating the limit properties of distances and the existence and uniqueness of fixed points, best proximity points and existence, and uniqueness of limit cycles, to which the iterated sequences converge, of single-valued, and socalled, contractive precyclic self-mappings which are proposed in this paper. Such self-mappings are defined on the union of a finite set of subsets of uniformly convex Banach spaces under generalized contractive conditions. Each point of a subset is mapped either in some point of the same subset or in a point of the adjacent subset. In the general case, the contractive condition of contractive precyclic self-mappings is admitted to be point dependent and it is only formulated on a complete disposal, rather than on each individual subset, while it involves a condition on the number of iterations allowed within each individual subset before switching to its adjacent one. It is also allowed that the distances in-between adjacent subsets can be mutually distinct including the case of potential pairwise intersection for only some of the pairs of adjacent subsets.
- Subjects
MATHEMATICAL mappings; FIXED point theory; UNIQUENESS (Mathematics); ITERATIVE methods (Mathematics); MATHEMATICAL sequences; BANACH spaces; MATHEMATICAL analysis
- Publication
Journal of Applied Mathematics, 2013, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2013/310106