References
- Baillon , J.-B. 1988 . Nonexpansive mappings and hyperconvex spaces . Contemp. Math. , 72 : 11 – 19 .
- Espínola , R. and Khamsi , M. A. 2001 . “ Introduction to hyperconvex spaces ” . In Handbook of Metric Fixed Point Theory Edited by: Kirk , W. A. and Sims , B. pp. 391 – 435 . Dordrecht : Kluwer Academic Publishers .
- Espínola , R. , Kirk , W. A. and López , G. 2000 . Nonexpansive retractions in hyperconvex spaces . J. Math. Anal. Appl. , 251 : 557 – 570 .
- Khamsi , M. A. 1996 . KKM and Ky Fan theorems in hyperconvex metric spaces . J. Math. Anal. Appl. , 204 : 298 – 306 .
- Khamsi , M. A. , Kirk , W. A. and Martínez Yañez , C. 2000 . Fixed point and selection theorems in hyperconvex spaces . Proc. Amer. Math. Soc. , 128 : 3275 – 3283 .
- Kirk , W. A. and Shin , S. S. 1997 . Fixed point theorems in hyperconvex spaces . Houston J. Math. , 23 : 175 – 187 .
- Ky , Fan. 1969 . Extensions of two fixed point theorems of F. E. Browder . Math. Zeit. , 112 : 234 – 240 .
- Lim , T.-C. 1974 . A fixed point theorem for multivalued nonexpansive mappings in a uniformly convex Banach space . Bull. Amer. Math. Soc. , 80 : 1123 – 1126 .
- Prolla , J. B. 1982–1983 . Fixed point theorems for set valued mappings and existence of best approximations . Numer. Funct. Anal. Optim. , 5 : 449 – 455 .
- Reich , S. 1978 . Approximate selections, best approximations, fixed points, and invariant sets . J. Math. Anal. Appl. , 62 : 104 – 113 .
- Sine , R. 1989a . Hyperconvexity and approximate fixed points . Nonlinear Anal. , 13 : 863 – 869 .
- Sine , R. 1989b . Hyperconvexity and nonexpansive multifunctions . Trans. Amer. Math. Soc. , 315 : 755 – 767 .
- Sadiq Basha , S. and Veeramani , P. 1997 . Best approximations and best proximity pairs . Acta Sci. Math. , 63 : 289 – 300 . (Szeged)
- Sadiq Basha , S. and Veeramani , P. 2000 . Best proximity pair theorems for multifunctions with open fibres . J. Approximation Theory , 103 : 119 – 129 .
- Sadiq Basha , S. , Veeramani , P. and Pai , D. V. 2001 . Best proximity pair theorems . Indian J. Pure Appl. Math. , 32 : 1237 – 1246 .
- Schaefer , H. H. 1974 . Banach Lattices and Positive Operators Berlin and New York : Springer-Verlag .
- Sehgal , V. M. and Singh , S. P. 1988 . A generalization to multifunctions of Fan's best approximation theorem . Proc. Amer. Math. Soc. , 102 : 534 – 537 .
- Sehgal , V. M. and Singh , S. P. 1989 . A theorem on best approximations . Numer. Funct. Anal. Optim. , 10 : 181 – 184 .
- Srinivasan , P. S. 2001 . Best proximity pair theorems . Acta Sci. Math. , 67 : 421 – 429 . (Szeged)
- Vetrivel , V. , Veeramani , P. and Bhattacharyya , P. 1992 . Some extensions of Fan's best approximation theorem . Numer. Funct. Anal. Optim. , 13 : 397 – 402 .