A  PROJECT ON                                        APPROXIMATION OF FIXED POINTS OF MULTI-VALUED SELF MAPPINGS IN HILBERT SPACES

dc.contributor.author	TSEGANESH, GETACHEW
dc.date.accessioned	2019-09-19T06:19:31Z
dc.date.available	2019-09-19T06:19:31Z
dc.date.issued	2019-09-19
dc.identifier.uri	http://hdl.handle.net/123456789/9692
dc.description.abstract	Abstract In this project let 𝐻 be a real Hilbert space and 𝐾 a nonempty closed convex subset of 𝐻. Suppose 𝑇: 𝐾 → 𝐶𝐵(𝐾) is a multi-valued Lipschitzian pseudocontractive mapping such that 𝐹(𝑇) ≠ ∅. An Ishikawa-type iterative algorithm was constructed and it was shown that, for the corresponding sequence { 𝑥 } , under appropriate conditions on the iteration parameters, lim 𝑛→∞ 𝑖𝑛𝑓 𝑑(𝑥 𝑛 , 𝑇𝑥 𝑛 𝑛 ) = 0 holds. Finally, convergence theorems were proved under approximate additional conditions. Djitte and Sene Theorems were significant improvement on important recent results of Panyanak and Sastry and Babu.	en_US
dc.language.iso	en_US	en_US
dc.subject	Mathematics	en_US
dc.title	A PROJECT ON APPROXIMATION OF FIXED POINTS OF MULTI-VALUED SELF MAPPINGS IN HILBERT SPACES	en_US
dc.type	Thesis	en_US