ALGORITHM FOR APPROXIMATING SOLUTIONS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH MAXIMAL MONOTONE OPERATORS

作者：Uba M O^*; Uzochukwu M I; Onyido M A

来源：Indian Journal of Pure and Applied Mathematics, 2017, 48(3): 391-410.

DOI：10.1007/s13226-017-0232-9

• Bounded
• maximal monotone mappings
• Hammerstein equations
• strong convergence

Let X be a uniformly convex and uniformly smooth real Banach space with dual space X*. Let F: X -> X* and K: X* -> X be bounded monotone mappings such that the Hammerstein equation u + KFu = 0 has a solution. An explicit iteration sequence is constructed and proved to converge strongly to a solution of this equation.

• 出版日期2017-9