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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.

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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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