STRICTLY CONVEX METRIC SPACES AND FIXED POINTS
Mathematica Moravica, Tome 3 (1999) no. 1.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this article we examine strictly convex metric space and strictly convex metric space with convex round balls. These objects generalize well known concept of strictly convex Banach space. We prove fixed point theorems for nonexpansive, quasi-nonexpansive and asymptotically nonexpansive mappings in strictly convex metric space with convex round balls. These results extend previous result of R. de Marr, F. E. Browder, W. A. Kirk, K. Goebel, W. G. Dotson, T. C. Lim and some others. 
@article{MM3_1999_3_1_a1,
     author = {Inese Bula},
     title = {STRICTLY {CONVEX} {METRIC} {SPACES} {AND} {FIXED} {POINTS}},
     journal = {Mathematica Moravica},
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     publisher = {mathdoc},
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     number = {1},
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Inese Bula. STRICTLY CONVEX METRIC SPACES AND FIXED POINTS. Mathematica Moravica, Tome 3 (1999) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_1999_3_1_a1/