Domlo, Abdul-Aziz Mustafa (2006) Fixed point results of some nonlinear maps with applications. PhD thesis, King Fahd University of Petroleum and Minerals.
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Arabic Abstract
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English Abstract
The main purpose of this work is to establish new coincidence and common fixed point theorems using contractive and Lipschitz type conditions for nonself single-valued and multivalued mappings (not necessarily continuous) on a metric space and cite their applications in approximation theory and eigenvalue problems. A general iteration scheme for a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces is introduced and its convergence to a common fixed point of the family is studied. Random versions of these results are presented. A deep result concerning the existence of random fixed point of an inward multivalued random operator on a separable Banach space with characteristic of noncompact convexity less than 1 is also proved.
| Item Type: | Thesis (PhD) |
|---|---|
| Date: | May 2006 |
| Date Type: | Completion |
| Subjects: | Math |
| Divisions: | College Of Sciences > Mathematical Science Dept |
| Creators: | Domlo, Abdul-Aziz Mustafa |
| Committee Advisor: | Khan, A. R. |
| Committee Members: | Boucherif, Abdulkader and Ansari, Q. H. and Chaudhry, M. Aslam and Bokhari, Mohammad A. |
| ID Code: | 10565 |
| Deposited By: | KFUPM ePrints Admin |
| Deposited On: | 22 Jun 2008 17:08 |
| Last Modified: | 30 Apr 2011 15:40 |
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