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Fixed point results in quasimetric spaces. (English) Zbl 1207.54061
Summary: In the setting of quasimetric spaces, we prove some new results on the existence of fixed points for contractive type maps with respect to $$Q$$-function. Our results either improve or generalize many known results in the literature.

##### MSC:
 54H25 Fixed-point and coincidence theorems (topological aspects)
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##### References:
 [1] Nadler, SB, Multi-valued contraction mappings, Pacific Journal of Mathematics, 30, 475-488, (1969) · Zbl 0187.45002 [2] Feng, Y; Liu, S, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, Journal of Mathematical Analysis and Applications, 317, 103-112, (2006) · Zbl 1094.47049 [3] Kada, O; Suzuki, T; Takahashi, W, Nonconvex minimization theorems and fixed point theorems in complete metric spaces, Mathematica Japonica, 44, 381-391, (1996) · Zbl 0897.54029 [4] Suzuki, T; Takahashi, W, Fixed point theorems and characterizations of metric completeness, Topological Methods in Nonlinear Analysis, 8, 371-382, (1997) · Zbl 0902.47050 [5] Latif, A; Albar, WA, Fixed point results in complete metric spaces, Demonstratio Mathematica, 41, 145-150, (2008) · Zbl 1151.54343 [6] Latif, A, A fixed point result in complete metric spaces, JP Journal of Fixed Point Theory and Applications, 2, 169-175, (2007) · Zbl 1152.54360 [7] Al-Homidan, S; Ansari, QH; Yao, J-C, Some generalizations of Ekeland-type variational principle with applications to equilibrium problems and fixed point theory, Nonlinear Analysis: Theory, Methods & Applications, 69, 126-139, (2008) · Zbl 1142.49005 [8] Siddiqi, AH; Ansari, QH, An iterative method for generalized variational inequalities, Mathematica Japonica, 34, 475-481, (1989) · Zbl 0671.49007 [9] Kaneko, H, Generalized contractive multivalued mappings and their fixed points, Mathematica Japonica, 33, 57-64, (1988) · Zbl 0647.54038
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