Domlo, Abdul-Aziz Mustafa (2006) Fixed point results of some nonlinear maps with applications. PhD thesis, King Fahd University of Petroleum and Minerals.
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)|
|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.|
|Deposited By:||KFUPM ePrints Admin|
|Deposited On:||22 Jun 2008 17:08|
|Last Modified:||30 Apr 2011 15:40|
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