The aim of this paper is to introduce the concept of generalized φ-weakly contraction
random operators and then to prove the convergence and almost sure T-stability of
Mann and Ishikawa-type random iterative schemes. We also prove that a random
fixed point of such operators is Bochner integrable. Our results generalize, extend and
improve various results in the existing literature including the results in Berinde (Bul.
¸Stiin¸t. - Univ. Baia Mare, Ser. B Fasc. Mat.-Inform. 18(1):7-14, 2002), Olatinwo (J. Adv.
Math. Stud. 1(1):5-14, 2008), Rhoades (Trans. Am. Math. Soc. 196:161-176, 1974; Indian
J. Pure Appl. Math. 21(1):1-9, 1990; Indian J. Pure Appl. Math. 24(11):691-703, 1993) and
Zhang et al. (Appl. Math. Mech. 32(6):805-810, 2011).
Luhandjula, M.K.; Joubert, Johan W.(Southern African Institute for Industrial Engineering, 2010-12)
This paper is on fuzzy stochastic optimisation, an area that is quickly coming to the forefront of mathematical
programming under uncertainty. An even stronger motivating factor for the growing interest in
this area can ...
Chaing, Chia-Tsung(University of Pretoria, 2008-07-15)
Multilevel Random Pulse Width Modulation (RPWM) schemes have drawn increasing attention in the past few years. Multilevel topologies provide high voltage and high power capabilities and random PWM schemes offer reduction ...
A mathematical model of a biological population, taking into
account the effect of environmental in uences both on the life-time distribution
and on the reproductive capacity of the individuals of the population, ...