Abstract
In this paper, we use new concepts of subcompatibility and subsequential continuity contained in (Bouhadjera, Godet-Thobie, Common fixed theorems for pairs of subcompatible maps, 17 June 2009. [math.FA]) to prove common fixed point theorems for a pair of maps in metric as well as convex metric spaces which are essentially patterned after a theorem of Huang and Li (Fixed point theorems of compatible mappings in convex metric spaces, Soochow J. Math. 22(3) (1996), 439--447). We also prove some related fixed point theorems and utilize certain such results to prove theorems on best approximation.
Citation
Fayyaz Rouzkard. M. Imdad. Hemant Kumar Nashine. "New common fixed point theorems and invariant approximation in convex metric spaces." Bull. Belg. Math. Soc. Simon Stevin 19 (2) 311 - 328, march 2012. https://doi.org/10.36045/bbms/1337864275
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