On a fixed point theorem of Greguš.
Fisher, Brian, Sessa, Salvatore (1986)
International Journal of Mathematics and Mathematical Sciences
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Fisher, Brian, Sessa, Salvatore (1986)
International Journal of Mathematics and Mathematical Sciences
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Shahzad, Naseer (2005)
Fixed Point Theory and Applications [electronic only]
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Hussain, Nawab, Berinde, Vasile (2006)
Fixed Point Theory and Applications [electronic only]
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Hussain, N., Rhoades, B.E. (2006)
Fixed Point Theory and Applications [electronic only]
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Akbar, F., Khan, A.R. (2009)
Fixed Point Theory and Applications [electronic only]
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Khan, A.R., Akbar, F., Sultana, N., Hussain, N. (2006)
International Journal of Mathematics and Mathematical Sciences
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Jungck, G., Rhoades, B.E. (1993)
International Journal of Mathematics and Mathematical Sciences
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Pathak, H.K., Cho, Y.J., Kang, S.M. (1998)
International Journal of Mathematics and Mathematical Sciences
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Ljubomir B. Ćirić (1999)
Czechoslovak Mathematical Journal
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In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
Popa, Valeriu (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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H. K. Pathak, Shin Min Kang, Yeol Je Cho (1998)
Czechoslovak Mathematical Journal
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In this paper we first prove some coincidence and fixed point theorems for nonlinear hybrid generalized contractions on metric spaces. Secondly, using the concept of an asymptotically regular sequence, we give some fixed point theorems for Kannan type multi-valued mappings on metric spaces. Our main results improve and extend several known results proved by other authors.