In this paper, we prove some random fixed point theorems in generalized Banach spaces. We establish a random version of a Krasnoselskii-type fixed point theorem for the sum of a contraction random operator and a compact operator. The results are used to prove the existence of solution for random differential equations with initial and boundary conditions. Finally, some examples are given to illustrate the results.

No abstract

The object of this article is to study a new class of almost contact metric structures which are integrable but non normal. Illustrativeexamples are given. Mathematics Subject Classification (2010). Primary 53C15; Secondary 53C55.

The object of this article is to study a new class of almost con- tact metric structures which are integrable but non normal. Secondly, a method of construction for normal manifold starting from a non-normal but integrable manifold. Illustrative examples are given. Mathematics Subject Classification (2010). Primary 53C15; Secondary 53C55.

The object of this article is to study a new class of almost contact metric structures which are integrable but non normal. Secondly, a method of construction for normal manifold starting from a non-normal but integrable manifold. Illustrative examples are given.