Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FINDING A ZERO OF THE SUM OF TWO MAXIMAL MONOTONE OPERATORS WITH MINIMIZATION PROBLEM

  • Abdallah, Beddani (Department of Mathematics, Faculty of Science and Technology, Relizane University, Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1)
  • Received : 2022.04.11
  • Accepted : 2022.09.17
  • Published : 2022.12.06
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Abstract

The aim of this paper is to construct a new method for finding the zeros of the sum of two maximally monotone mappings in Hilbert spaces. We will define a simple function such that its set of zeros coincide with that of the sum of two maximal monotone operators. Moreover, we will use the Newton-Raphson algorithm to get an approximate zero. In addition, some illustrative examples are given at the end of this paper.

Keywords

References

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