Nonlinear Functional Analysis and Applications

  • 제27권2호
  • /
  • Pages.223-232
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  • 2022
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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ON STUDY OF f-APPROXIMATION PROBLEMS AND σ-INVOLUTORY VARIATIONAL INEQUALITY PROBLEMS

  • 투고 : 2021.04.06
  • 심사 : 2021.12.17
  • 발행 : 2022.06.08
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초록

The purpose of the paper is to define f-projection operator to develop the f-projection method. The existence of a variational inequality problem is studied using fixed point theorem which establishes the existence of f-projection method. The concept of ρ-projective operator and σ-involutory operator are defined with suitable examples. The relation in between ρ-projective operator and σ-involutory operator are shown. The concept of σ-involutory variational inequality problem is defined and its existence theorem is also established.

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과제정보

The authors thank the esteemed reviewers for the valuable suggestions to improve the quality of the results.

참고문헌

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