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Mohan Joshi
Articles written in Proceedings – Mathematical Sciences
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Volume 89 Issue 2 May 1980 pp 95-100
Measurability of inverses of random operators and existence theorems
Let (Ω,
B ,μ) be ameasure space andX a separable Hubert space. LetT be a random operator from Ω ×X intoX . In this paper we investigate the measurability ofT -1. In our main theorems we show that ifT is a separable random operator withT(w) almost sure invertible and monotone and demicontinuous thenT -1is also a random operator. As an application of this we give an existence theorem for random Hammerstein operator equation. -
Volume 92 Issue 1 September 1983 pp 61-65
An approximate solvability scheme for a class of nonlinear equations
An approximate solvability scheme for equations of the type
u+K u(u)=w, in a closed convex subsetA of a Hilbert spaceX is given. Here, for eachu ∈ A, K u: X → X is a bounded linear operator. -
Volume 92 Issue 2 November 1983 pp 127-133
Solvability of generalized Hammerstein equations
In this paper we obtain solvability results for generalized Hammerstein equations by using the theory of
k -set contractions. -
Volume 96 Issue 2 November 1987 pp 75-85
Nonlinear random equations involving completely closed operators
We introduce the concept of completely closed operators in Banach spaces and then obtain the existence of random solutions of operator equations involving such operators. As simple corollaries we obtain the existence theorems for random operator equations involving monotone operators as well as operators of type (
M ). -
Volume 98 Issue 1 June 1988 pp 63-69
Nonlinear random elliptic boundary value problem
In this paper we obtain a solvability result for random elliptic boundary value problem. Our result extends Browder's [2] main theorem to the random case. We use author's [4] fixed point theorem for this purpose.
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Proceedings – Mathematical Sciences
Volume 133, 2023
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