Fixed point theorems in generalized metric spaces
2016 ◽
Vol 10
(02)
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pp. 1750030
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In the paper, we shall prove the results on the existence of fixed points of mapping defined on generalized metric space satisfying a nonlinear contraction condition, which is a generalization of Diaz and Margolis theorem (see [A fixed point theorem of the alternative, for contractions on a generalized complete metric space, Bull. Amer. Math. Soc. 74 (1968) 305–309]). We also present local fixed point theorems both in generalized and ordinary metric spaces. Our results are generalizations of Banach fixed point theorem and many other results.
2015 ◽
Vol 08
(04)
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pp. 1550068
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2020 ◽
Vol 2020
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pp. 1-8
2005 ◽
Vol 2005
(5)
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pp. 789-801
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1996 ◽
Vol 19
(3)
◽
pp. 457-460
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