TY - JOUR AU - Dhage, B. C. PY - 2004/12/31 Y2 - 2024/03/29 TI - Some Algebraic and topological random fixed point theorems with applications to nonlinear random integral equations JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 35 IS - 4 SE - Papers DO - 10.5556/j.tkjm.35.2004.191 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/191 SP - 321-346 AB - In this paper some algebraic and topological random fixed point theorems are proved involving the three random operators on a Banach algebra and they are further applied to a certain nonlinear functional random integral equation of mixed type for proving the existence as well as existence of extremal random solutions under the generalized Lipschizicity, Carath´eodory and monotonicity conditions. ER -