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- Title
Uniformly normal structure and uniformly generalized Lipschitzian semigroups.
- Authors
Soliman, Ahmed H.; Barakat, Mohamed A.
- Abstract
In this work, we introduce some condition on one-parameter semigroup of self-mappings it is called kuniformly generalized Lipschitzian. The condition is weaker than Lipschitzian type conditions. Also, we show that a k-generalized Lipschitzian semigroup of nonlinear self-mappings of a nonempty closed convex subset C of real Banach space X admits a common fixed point if the semigroup has a bounded orbit and if k > 0: Our results extending the results due to L.C. Ceng, H. K. Xu and J.C. Yao [5].
- Subjects
SEMIGROUPS (Algebra); GROUP theory; ABELIAN semigroups; BANACH spaces; VECTOR spaces
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2012, Vol 5, Issue 5, p379
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.005.05.07