Fixed-Point Theorems in Complete Gauge Spaces and Applications to Second-Order Nonlinear Initial-Value Problems
Keyword(s):
We establish fixed-point results for mappings and cyclic mappings satisfying a generalized contractive condition in a complete gauge space. Our theorems generalize and extend some fixed-point results in the literature. We apply our obtained results to the study of existence and uniqueness of solution to a second-order nonlinear initial-value problem.
2012 ◽
Vol 15
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1996 ◽
Vol 06
(02)
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pp. 269-277
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2014 ◽
Vol 6
(1)
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pp. 7-35
Keyword(s):
2013 ◽
Vol 04
(02)
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pp. 1350006
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1989 ◽
Vol 82
(2)
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pp. 314-321
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