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4: Paper Source PDF document

Paper's Title:

Fixed Point Theorems for a Finite Family of Asymptotically Nonexpansive Mappings

Author(s):

E. Prempeh

Department of Mathematics,
Kwame Nkrumah University of Science and Technology,
Kumasi, Ghana
edward_prempeh2000@yahoo.com

Abstract:

Let be a real reflexive Banach space with a uniformly Gâteaux differentiable norm, be a nonempty bounded closed convex subset of i=1,2,...,r be a finite family of asymptotically nonexpansive mappings such that for each Let be a nonempty set of common fixed points of and define

. Let be fixed and let be such that as . We can prove that the sequence satisfying the relation

associated with , converges strongly to a fixed point of provided possesses uniform normal structure. Furthermore we prove that the iterative process:

, converges strongly to a fixed point of



3: Paper Source PDF document

Paper's Title:

On the Regularization of Hammerstein's type Operator Equations

Author(s):

E. Prempeh, I. Owusu-Mensah and K. Piesie-Frimpong

Department of Mathematics,
KNUST, Kumasi-
Ghana.

Department of Science Education,
University of Education,
Winneba

Department of Mathematics,
Presbyterian University College, Abetifi,
Ghana

E-mail: isaacowusumensah@gmail.com

E-mail: eprempeh.cos@knust.edu.gh

E-mail: piesie74@yahoo.com

Abstract:

We have studied Regularization of Hammerstein's Type Operator Equations in general Banach Spaces. In this paper, the results have been employed to establish regularized solutions to Hammerstein's type operator equations in Hilbert spaces by looking at three cases of regularization.


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