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}
}
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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