Common fixed point thorems for set-valued mappings

• Autorzy: Ciric L.
• Języki publikacji: EN

Abstrakty

EN

Some common fixed point theorems for a pair of multi-valued non-self mappings in complete convex metric spaces are obtained. Our results generalize some of the known results. In particular, a theorem by Rhoades [15] is generalized and improved.

Słowa kluczowe

EN

metric space; fixed point theorem; Rhoades theorem

PL

przestrzeń metryczna; twierdzenie o punkcie stałym; teoria Rhoadesa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 2
• Strony: 419--428
• Opis fizyczny: BIbliogr. 18 poz.

Twórcy

autor

Ciric L.

• University of Belgrade Faculty of Mechanical Engineering Aleksinackih rudara 12-35, 11 070 Belgrade, Serbia and Montenegro,

Bibliografia

• [1] A. Ahmed and A. R. Khan, Some fixed point theorems for non-self hybrid contractions. J. Math. Anal. Appl. 213 (1997), 275-280.
• [2] N. A. Assad, Fixed point theorems for set valued transformations on compact sets, Boll. Un. Math. Ital. 4 (1973), 1-7.
• [3] N. A. Assad and W. A. Kirk, Fixed point theorems for set valued mappings of contractive type, Pacific J. Math. 43 (1972), 553-562.
• [4] L. M. Blumenthal, Theory and Applications of Distance Geometry, Oxford Press, 1953.
• [5] Lj. B. Ćirić, Fixed points for generalized multi-valued mappings, Mat. Vesnik 9 (24) (1972), 265-272.
• [6] Lj. B. Ćirić, A remark on Rhoades fixed point theorem for non-self mappings, Internat. J.Math. Math. Sci. 16 (1993), 397-400.
• [7] Lj. B. Ćirić Quasi-contraction non-self mappings on Banach spaces, Bull. Acad. Serbe Sci. Arts 23 (1998), 25-31.
• [8] Lj. B. Ćirić, J. S. Ume, M. S. Khan and H. K. Pathak, On some non-self mappings, Math. Nachr. 251 (2003), 28-33.
• [9] S. Itoh, Multi-valued generalized contractions and fired point theorems, Comment. Math. Univ. Caroline 18 (1977), 247-258.
• [10] M. S. Khan, Common fixed point theorems for multi-valued mappings, Pacific J. Math. 95 (1981), 337-347.
• [11] J. T. Markin, A fixed point theorem for set-valued mappings, Bull. Amer. Math. Soc. 74 (1968), 639-640.
• [12] S. B. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475-488.
• [13] B. K. Ray, On Ćrić's fixed point theorem, Fund. Math. XCIV (1977), 221-229.
• [14] B. E. Rhoades, A fixed point theorem for some non-self mappings, Math. Japon. 23 (1978), 457-459.
• [15] B. E. Rhoades, A fixed point theorem for non-self set-valued mappings, Internat. J. Math. Math. Sci. 20 (1997), 9-12.
• [16] A. Rus, Generalized Contractions and Applications, Cluj-Univ. Press, 2001.
• [17] K. P. R. Sastry, S. V. R. Naidu and J. R. Prasad, Common fixed points for multi-maps in a metric space, Nonlinear Anal. T. M. A. 13 (1989), 221-229.
• [18] T. Tsachev and V. G. Angelov, Fixed points of non-self mappings and applications, Nonlinear Anal. 21 (1993), No. 1, 9-16.