Fixed point theorem in probabilistic inner product spaces and its applications
In this paper, we obtain a new fixed point theorem in complete probabilistic Δ-inner product space. As an example of applications, we utilize the results of this paper to study the existence and uniqueness of solutions for linear Valterra integral equation.
AMS Mathematics Subject Classification46S50
Key words and phrasesProbabilistic inner product space fixed point Valterra integral equation t-norm of h-type
Unable to display preview. Download preview PDF.
- 3.R. Subramanian and K. Balachandran,Controllability of stochastic Volterra integro differential systems, J. Appl. Math. & Computing9 (2002), 583–591.Google Scholar