Fixed point results in complete metric spaces

• Autorzy: Latif A. , Albar W.
• Języki publikacji: EN

Abstrakty

EN

Using the concept of w-distance, we prove fixed point theorems for multivalued contractive maps. Consequently, we improve and extend the corresponding fixed point results due to Feng and Liu, Nadler and many of others.

Słowa kluczowe

EN

metric space; multivalued contractive map; fixed point; w-distance

PL

punkt stały; przestrzeń metryczna; odwzorowania

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2008
• Tom: Vol. 41, nr 1
• Strony: 145--150
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Latif A.

autor

Albar W.

• Department of Mathematics King Abdul Aziz University P.O. Box 80203 Jeddah 21589, Saudi Arabia,

Bibliografia

• [1] J. S. Bae, Fixed point theorems for weakly contractive multivalued maps, J. Math. Anal. Appl. 284 (2003), 690-697.
• [2] Y. Feng and S. Liu, Fixed point theorems for multivalued contractive mappings and multivalued Caristi Type mappings, J. Math. Anal. Appl. 317 (2006), 103-112.
• [3] T. Husain and A. Latif, Fixed points of multivalued nonexpansive maps. Internat. J. Math. & Math. Sci. 14 (1991), 421-430.
• [4] O. Kada, T. Suzuki and W. Takahashi, Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Math. Japon., 44 (1996), 381-391.
• [5] T. H. Kim, K. Kim and J. S. Ume, Fixed point theorems on complete metric spaces, Panamer. Math. J. 7 (1997), 41-51.
• [6] A. Latif and I. Beg, Geometric fixed points for single and multivalued mappings, Demonstratio Math. 30 (1997), 791-800.
• [7] N. Mizoguchi and W. Takahashi, Fixed point theorems for multivalued mappings on complete metric spaces, J. Math. Anal. Appl. 141 (1989), 177-188.
• [8] S. B. Nadler, Multivalued contraction mappings, Pacific J. Math., 30 (1969), 475-488.
• [9] S. V. R. Naidu, Fixed points and coincidence points for multimaps with not necessarity bounded images, Fixed Point Theory and Appl. 3 (2004), 221-242.
• [10] S. Park, On generalizations of the Ekland-type variational principles, Nonlinear Anal. 39 (2000), 881-889.
• [11] T. Suzuki and W. Takahashi, Fixed point theorems and characterizations of metric completeness, Topol. Methods Nonlinear Anal. 8 (1996), 371-382.
• [12] T. Suzuki, Several fixed point theorems m complete metric spaces, Yokohama Math J. 44 (1997), 61-72.
• [13] W. Takahashi, Existence theorems in metric spaces and characterizations of metric completeness, Josai Math. Monograph 1 (1999), 67-85.
• [14] W. Takahashi, Nonlinear Functional Analysis : Fixed point theory and its applications, Yokohama Publishers, 2000.
• [15] J. S. Ume, B. S. Lee and S. J. Cho, Same results on fixed point theorems for multi-valued mappings in complete metric spaces, IJMMS 30 (2002), 319-325.