# 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.

## 5 Citations

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