[1] Khamsi M A, Kirk W A. An Introduction to Metric Spaces and Fixed Point Theory. Pure and Applied Mathematics. New York: Wiley-Interscience, 2001
[2] Berinde V. Approximating fixed points of weak contractions using the Picard iteration. Nonlin Anal Forum, 2004, 9: 43–53
[3] Suzuki T. A generalized Banach contraction principle which characterizes metric completeness. Proc Amer Math Soc, 2008, 136: 1861–1869
[4] Abkar A, Eslamian M. Fixed point theorms for Suzuki generalized nonexpansive multivalued mappings in Banach spaces. Fixed Point Theory Appl, 2010, 2010: Article ID 457935
[5] Abkar A, Eslamian M. A fixed point theorm for generalized nonexpansive multivalued mappings. Fixed Point Theory, 2011, 12: 241–246
[6] Abkar A, Gabeleh M. Best proximity points for asymptotic cyclic contraction mappings. Nonlin Anal, 2011, 74: 7261–7268
[7] Al-Thagafi M A, Shahzad N. Convergence and existence results for best proximity points. Nonlin Anal, 2009, 70: 3665–3671
[8] Di Bari C, Suzuki T, Vetro C. Best proximity points for cyclic Meir- Keeler contractions. Nonlin Anal, 2008, 69: 3790–3794
[9] Eldred A A, Kirk W A, Veeramani P. Proximal normal structure and relatively nonexpansive mappings. Studia Math, 2005, 171: 283–293
[10] Eldred A A, Veeramani P. Existence and convergence of best proximity points. J Math Anal Appl, 2006, 323: 1001–1006
[11] Espinola R. A new approach to relativelt nonexpansive mappings. Proc Amer Math Soc, 2008, 136: 1987–1996
[12] Sadiq Basha S, Veeramani P. Best proximity pair theorems for multifunctions with open fibres. J Approx Theory, 2000, 103: 119–129
[13] Sadiq Basha S, Veeramani P, Pai D V. Best proximity pair theorems. Indian J Pure Appl Math, 2001, 32: 1237–1246
[14] Suzuki T, Kikkawa M, Vetro C. The existence of best proximity points in metric spaces with the property UC. Nonlin Anal, 2009, 71: 2918–2926
[15] Wlodarczyk K, Plebaniak A, Banach A. Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces. Nonlin Anal, 2009, 70: 3332–3342
[16] Wlodarczyk K, Plebaniak A, Banach A. Erratum to: Best proximity points for cyclic and noncyclic set-valued relatively quasi-asymptotic contractions in uniform spaces. Nonlin Anal, 2009, 71: 3583–3586
[17] Sankar Raj V. A best proximity point theorem for weakly contractive non-self-mappings. Nonlin Anal, 2011, 74: 4804–4808
[18] Abkar A, Gabeleh M. Global optimal solutions of noncyclic mappings in metric spaces. J Optim Theory Appl, 2012, 153: 298–305
[19] Kikkawa M, Suzuki T. Three fixed point theorems for generalized contractions with constants in complete metric spaces. Nonlin Anal, 2008, 69: 2942–2949
[20] Nadler S B, Multivalued contraction mappinsg. Pacific J Math, 1969, 30: 475–488
[21] Abkar A, Gabeleh M. The existence of best proximity points for multivalued non-self-mappings. RACSAM, 2013, 107: 319–325
[22] Abkar A, Gabeleh M. A note on some best proximity point theorems proved under P-property. Abst Appl Anal, 2013, 2013: Article ID 189567
[23] Gabeleh M. Best proximity point theorems via proximal non-self mappings. Submitted |