Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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FIXED POINT THEOREMS IN b-MENGER INNER PRODUCT SPACES

  • Rachid Oubrahim (LANO Laboratory, Higher School of Technology, BP 473, Mohammed First University)
  • Received : 2023.09.12
  • Accepted : 2024.02.25
  • Published : 2024.06.15
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Abstract

The main motivation for this paper is to investigate the fixed point property for nonlinear contraction defined on b-Menger inner product spaces. First, we introduce a b-Menger inner product spaces, then the topological structure is discussed and the probabilistic Pythagorean theorem is given and established. Also we prove the existence and uniqueness of fixed point in these spaces. This result generalizes and improves many previously known results.

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References

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