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- Title
General Common Fixed Point Theorems and Applications.
- Authors
Singh, Shyam Lal; Mishra, Swami Nath; Chugh, Renu; Kamal, Raj
- Abstract
The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result of Đorić and Lazović (2011) for a multivalued map on a metric space satisfying C' iric'-Suzuki-type-generalized contraction. Further, as a special case, we obtain a generalization of an important common fixed point theorem of C' iric' 1974. Existence of a common solution for a class of functional equations arising in dynamic programming is also discussed.
- Subjects
FIXED point theory; SET-valued maps; METRIC spaces; GENERALIZED spaces; NUMERICAL solutions to functional equations; CONTRACTIONS (Topology); EXISTENCE theorems; DYNAMIC programming
- Publication
Journal of Applied Mathematics, 2012, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2012/902312