CONVERGENCE THEOREMS FOR LIPSCHITZ PSEUDOCONTRACTIVE NON-SELF MAPPINGS IN BANACH SPACES

Authors

  • A. Tufa Department of Mathematics, University of Botswana, Pvt. Bag 00704 Gaborone, Botswana
  • H. Zegeye Department of Mathematics, Botswana International University of Science and Technology (BIUST), Priv. Bag 16, Palapye, Botswana

Abstract

In this paper, we introduce an iterative process and prove strong convergence result for finding the fixed point of Lipschitz pseudocontractive non-self mapping in Banach spaces more general than Hilbert spaces. In addition, strong and weak convergence of Mann type sequence to a fixed point of $\lambda$-strictly pseudocontractive non-self mapping is investigated. Moreover, a numerical example which shows the conclusion of our result is presented. Our results improve and generalize many known results in the current literature.

Author Biographies

A. Tufa, Department of Mathematics, University of Botswana, Pvt. Bag 00704 Gaborone, Botswana

Department of Mathematics,

Ph.D student

H. Zegeye, Department of Mathematics, Botswana International University of Science and Technology (BIUST), Priv. Bag 16, Palapye, Botswana

Department of Mathematics,

Professor of Mathematics

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Published

2016-12-25

How to Cite

Tufa, A., & Zegeye, H. (2016). CONVERGENCE THEOREMS FOR LIPSCHITZ PSEUDOCONTRACTIVE NON-SELF MAPPINGS IN BANACH SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications, 6(2), 1-17. Retrieved from http://www.math.sci.nu.ac.th/ojs302/index.php/jnao/article/view/412

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Section

Research Article