Fixed point results of some nonlinear maps with applications

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


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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)
Subjects: Math
Divisions: College Of Sciences > Mathematical Science Dept
Committee Advisor: Khan, A. R.
Committee Members: Boucherif, Abdulkader and Ansari, Q. H. and Chaudhry, M. Aslam and Bokhari, Mohammad A.
Depositing User: Mr. Admin Admin
Date Deposited: 22 Jun 2008 17:08
Last Modified: 01 Nov 2019 17:02