Nonlinear Functional Analysis and Applications

  • 제28권2호
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  • Pages.497-520
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  • 2023
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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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INERTIAL EXTRAPOLATION METHOD FOR SOLVING SYSTEMS OF MONOTONE VARIATIONAL INCLUSION AND FIXED POINT PROBLEMS USING BREGMAN DISTANCE APPROACH

  • Hammed A. Abass (School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Science University, DSI-NRF Center of Excellence in Mathematical and Statistical Sciences (CoE-MaSS)) ;
  • Ojen K. Narain (School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal) ;
  • Olayinka M. Onifade (School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal)
  • 투고 : 2022.09.22
  • 심사 : 2022.10.17
  • 발행 : 2023.06.15
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초록

Numerous problems in science and engineering defined by nonlinear functional equations can be solved by reducing them to an equivalent fixed point problem. Fixed point theory provides essential tools for solving problems arising in various branches of mathematical analysis, such as split feasibility problems, variational inequality problems, nonlinear optimization problems, equilibrium problems, complementarity problems, selection and matching problems, and problems of proving the existence of solution of integral and differential equations.The theory of fixed is known to find its applications in many fields of science and technology. For instance, the whole world has been profoundly impacted by the novel Coronavirus since 2019 and it is imperative to depict the spread of the coronavirus. Panda et al. [24] applied fractional derivatives to improve the 2019-nCoV/SARS-CoV-2 models, and by means of fixed point theory, existence and uniqueness of solutions of the models were proved. For more information on applications of fixed point theory to real life problems, authors should (see [6, 13, 24] and the references contained in).

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과제정보

The first author acknowledge with thanks the bursary and financial support from Department of Science and Technology and National Research Foundation, Republic of South Africa, Centre of Excellence in Mathematical and Statistical Sciences (DST-NRF COE-MaSS) Doctoral Bursary. Opinions expressed and conclusions arrived are those of the authors and are not necessarily to be attributed to the CoE-MaSS.

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