Nonlinear Functional Analysis and Applications

  • 제27권1호
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  • Pages.149-167
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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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ITERATIVE METHOD FOR SOLVING FINITE FAMILIES OF VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS OF CERTAIN MULTI-VALUED MAPPINGS

  • Olona, Musa Adewale (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal) ;
  • Narain, Ojen Kumar (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal)
  • 투고 : 2021.05.23
  • 심사 : 2021.11.06
  • 발행 : 2022.03.15
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초록

In this paper, we propose a viscosity iterative algorithm for approximating a common solution of finite family of variational inequality problem and fixed point problem for finite family of multi-valued type-one demicontractive mappings in real Hilbert spaces. A strong convergence result of the aforementioned problems were proved and some consequences of our result was also displayed. In addition, we discuss an application of our main result to convex minimization problem. The result presented in this article complements and extends many recent results in literature.

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참고문헌

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