Open AccessRandom fixed point theorems in Banach algebras with applications to random integral equations
Author(s) -
B. C. Dhage
Publication year - 2003
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.34.2003.270
Subject(s) - mathematics , fixed point theorem , nonlinear system , point (geometry) , fixed point , banach space , integral equation , random compact set , discrete mathematics , pure mathematics , random element , random variable , mathematical analysis , statistics , physics , geometry , quantum mechanics
The present paper studies the random versions of some deterministic fixed point theorems of Dhage [5] and Dhage and Regon [7]. Applications are given to a certain nonlinear functional random integral equation for proving the existence of random solution under the generalized Lipschitzicity and Caratheodory conditions