• Title/Summary/Keyword: Fejer monotone

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FIXED POINTS OF MULTI-VALUED OSILIKE-BERINDE NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

  • Kiran Dewangan;Niyati Gurudwan;Laxmi Rathour
    • Nonlinear Functional Analysis and Applications
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    • v.28 no.3
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    • pp.685-702
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    • 2023
  • This paper is concerned with fixed point results of a finite family of multi-valued Osilike-Berinde nonexpansive type mappings in hyperbolic spaces along with some numerical examples. Also strong convergence and ∆-convergence of a sequence generated by Alagoz iteration scheme are investigated.

APPLICATIONS OF FIXED POINT THEORY IN HILBERT SPACES

  • Kiran Dewangan
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.59-72
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    • 2024
  • In the presented paper, the first section contains strong convergence and demiclosedness property of a sequence generated by Karakaya et al. iteration scheme in a Hilbert space for quasi-nonexpansive mappings and also the comparison between the iteration scheme given by Karakaya et al. with well-known iteration schemes for the convergence rate. The second section contains some applications of the fixed point theory in solution of different mathematical problems.