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Fixed point results of some nonlinear maps with applications

Domlo, Abdul-Aziz Mustafa (2006) Fixed point results of some nonlinear maps with applications. PhD thesis, King Fahd University of Petroleum and Minerals.


Arabic Abstract


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
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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