Convergence of CR-iteration procedure for a nonlinear quasi contractive map in convex metric spaces

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  • Gedala Satyanaryana,
  • Gutti Venkata Ravindranadh Babu,

Published in Issue 2025-11-09

How to Cite

Convergence of CR-iteration procedure for a nonlinear quasi contractive map in convex metric spaces. (2025). Communications in Nonlinear Analysis, 7(1). https://oiccpress.com/cna/article/view/17930

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Abstract

We prove that the modified CR-iteration procedure converges strongly to a fixed pointof a generalized quasi contraction map in convex metric spaces which is the main resultof this paper. The convergence of Picard-S iteration procedure follows as a corollary toour main result.

Keywords

  • Convex metric space,
  • quasi contraction map,
  • CR-iteration procedure and Picard- S-iteration procedure
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References

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