Malaysian Journal of Mathematical Sciences, May 2019, Vol. 13, No. 2
Some Convergence Results Using \(K^*\) Iteration Process in Busemann Spaces
Ullah, K., Khan, B. A., Ozer, O., and Nisar, Z.
Corresponding Email: ozenozer39@gmail.com
Received date: 11 September 2018
Accepted date: 21 April 2019
Abstract:
In this paper, some strong and \(\Delta\)-convergence results for mapping satisfying condition (E) in the setting of uniformly convex Busemann spaces are proved. We are using the newly introduced \(K^*\) iteration process for approximation of fixed point. We also give an example to show the efficiency of \(K^*\) iteration process. Our results are the extension, improvement and generalization of many known results in the literature of fixed point theory in Busemann spaces.
Keywords: Condition (E), Busemann spaces, \(K^*\) iterative process; \(\Delta\)-convergence, strong convergence.
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