Geodesic
Application of fixed point theorems to best simultaneous approximation in ordered semi-convex structure
Hussain, N.1 ; Pathak, H. K.2 ; Tiwari, S.3
1 King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
2 School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, (C. G.), 492010, India
3 Shri Shankaracharya Institute of Professional Management and Technology, Raipur, (C. G.), 492010, India
Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 4, p. 294-306.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we establish some common fixed point results for uniformly $C_q$-commuting asymptotically S-nonexpansive maps in a Banach space with semi-convex structure. We also extend the main results of Ćirić [Lj. B. Ćirić, Publ. Inst. Math., 49 (1991), 174-178] and [Lj. B. Ćirić, Arch. Math. (BRNO), 29 (1993), 145-152] 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.
DOI : 10.22436/jnsa.005.04.05
Classification : 47H10, 54H25
Keywords: Common fixed point, uniformly \(C_q\)-commuting, asymptotically S-nonexpansive map, Banach operator pair, best simultaneous approximation

Hussain, N. 1 ; Pathak, H. K. 2 ; Tiwari, S. 3

1 King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia
2 School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur, (C. G.), 492010, India
3 Shri Shankaracharya Institute of Professional Management and Technology, Raipur, (C. G.), 492010, India 
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Hussain, N.; Pathak, H. K.; Tiwari, S. Application of fixed point theorems to best simultaneous approximation in ordered semi-convex structure. Journal of nonlinear sciences and its applications, Tome 5 (2012) no. 4, p. 294-306. doi : 10.22436/jnsa.005.04.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.005.04.05/

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