# Application of fixed point theorems to best simultaneous approximation in ordered semi-convex structure

```@article{Hussain2012ApplicationOF,
title={Application of fixed point theorems to best simultaneous approximation in ordered semi-convex structure},
author={Nawab Hussain and Hemant Kumar Pathak and Shiv Kant Tiwari},
journal={The Journal of Nonlinear Sciences and Applications},
year={2012},
volume={05},
pages={294-306}
}```
• Published 11 August 2012
• Mathematics
• The Journal of Nonlinear Sciences and Applications
In this chapter, we establish some common fixed point results for uniformly Cq-commuting asymptotically S-nonexpansive maps in a Banach space with semi-convex structure. We also extend the main results of Ćirić[34, 35] to semi-convex structure and obtain common fixed point results for Banach operator pair. The existence of invariant best simultaneous approximation in ordered semi-convex structure is also established.
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