Author:
Alegre Carmen,Marín Josefa,Romaguera Salvador
Abstract
Abstract
We obtain a fixed point theorem for generalized contractions on complete quasi-metric spaces, which involves w-distances and functions of Meir-Keeler and Jachymski type. Our result generalizes in various directions the celebrated fixed point theorems of Boyd and Wong, and Matkowski. Some illustrative examples are also given.
MSC:47H10, 54H25, 54E50.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
Reference22 articles.
1. Kada O, Suzuki T, Takahashi W: Nonconvex minimization theorems and fixed point theorems in complete metric spaces. Math. Jpn. 1996, 44: 381–391.
2. Pitman Research Notes in Mathematics Series 252;W Takahashi,1991
3. Caristi J: Fixed point theorems for mappings satisfying inwardness conditions. Trans. Am. Math. Soc. 1976, 215: 241–251.
4. Ekeland I: Nonconvex minimization problems. Bull. Am. Math. Soc. 1979, 1: 443–474. 10.1090/S0273-0979-1979-14595-6
5. Subrahmanyam PV: Remarks on some fixed point theorems related to Banach’s contraction principle. J. Math. Phys. Sci. 1974, 8: 445–457. Erratum 9, 195 (1975)
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