Nonlinear Functional Analysis and Applications

  • 제26권3호
  • /
  • Pages.475-496
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  • 2021
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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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STUDY OF SOME GENERALIZED h-VARIATIONAL INEQUALITY PROBLEMS IN H-PSEUDOSPACE

  • Das, Prasanta K. (School of Applied Sciences(Mathematics) KIIT Deemed to be University) ;
  • Mishra, Satya N. (Department of Mathematics Bhadrak Institute of Engineering and Technology) ;
  • Samal, Sapan K. (School of Applied Sciences(Mathematics) KIIT Deemed to be University)
  • 투고 : 2020.10.05
  • 심사 : 2021.02.09
  • 발행 : 2021.09.15
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초록

The main aim is to define a new class of generalized h-variational inequality problems and its generalized h-variational inequality problems. We define the class of h-𝜂-invex set, h-𝜂-invex function and H-pseudospace. Existence of the solution of the problems are established in H-pseudospace with the help of H-KKM mapping theorem and HC*-condition of 𝜂 associated with the function h.

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과제정보

The authors thanks the reviewers for their valuable suggestions.

참고문헌

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