Convergence of Akutsah iteration scheme for mean nonexpansive mappings in uniformly convex Banach space with application

Authors

  • Kiran Dewangan Department of Mathematics, Govt. DBG PG Girls College, India
  • Niyati Gurudwan Department of Mathematics, Govt. DBG PG Girls College, India

Keywords:

Uniformly convex Banach space, fixed point, mean nonexpansive mapping, Fejer monotone

Abstract

In this paper, we deal with strong convergence and stability of three step iteration scheme given by Akutsah et al., for mean nonexpansive mapping in uniformly convex Banach space. We also put an application of fixed point of mean nonexpansive mapping and compare Akutsah et al. iteration scheme with other well known iteration schemes, with the help of Matlab software program.

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Author Biography

Niyati Gurudwan, Department of Mathematics, Govt. DBG PG Girls College, India

Assistant Professor

Department of Mathematics

Government J. Yoganandam Chhattisgarh College, Raipur (C.G.)

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Published

2023-07-03

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Section

Articles