Approximation of Fixed Points for $(\alpha ,\beta)$-generalized Hybrid Mapping via New Three Step Iteration Process


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Authors

  • Samir Dashputre Department of Mathematics, Shahid Durwasha Nishad Govt. College, Arjunda, Balod, Chhattisgarh, India
  • Rakesh Tiwari Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg, Chhattisgarh, India
  • Jaynendra Shrivas Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg, Chhattisgarh, India

Keywords:

CAT(0) space, $(\alpha,\beta)$-generalized hybrid mapping, fixed point, strong and $\Delta$-convergence theorems

Abstract

In this paper, we establish some strong and $\Delta$-convergence theorems of a newly defined three-step iteration process for $(\alpha , \beta)$- generalized hybrid mapping in the setting of CAT(0) spaces. Our results generalize, unify and extend many known results from the existing literature.

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Published

24-08-2023

How to Cite

Samir Dashputre, Rakesh Tiwari, & Jaynendra Shrivas. (2023). Approximation of Fixed Points for $(\alpha ,\beta)$-generalized Hybrid Mapping via New Three Step Iteration Process. International Journal of Mathematics And Its Applications, 11(3), 141–153. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1203

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Section

Research Article