Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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HALPERN'S ITERATION FOR APPROXIMATING FIXED POINTS OF A NEW CLASS OF ENRICHED NONSPREDING-TYPE MAPPINGS IN HILBERT SPACES WITH APPLICATIONS TO MINIMAX INEQUALITY PROBLEM

  • Imo Kalu Agwu (Department of Mathematics, College of Physical and Applied Sciences, Michael Okpara University of Agriculture) ;
  • Godwin Amechi Okeke (Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri) ;
  • Hallowed Oluwadara Olaoluwa (Department of Mathematics, Faculty of Science, University of Lagos) ;
  • Jong Kyu Kim (Department of Mathematics Education, Kyungnam University)
  • Received : 2023.05.07
  • Accepted : 2024.03.05
  • Published : 2024.09.15
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Abstract

In this paper, we propose a modified Halpern's iterative scheme developed from a sequence of a new class of enriched nonspreading mappings and an enriched nonexpansive mapping in the setup of a real Hilbert space. Moreover, we prove strong convergence theorem of the proposed method under mild conditions on the control parameters. Also, we obtain some basic properties of our new class of enriched nonspreading mappings.

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References

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