A fixed point theorem of the alternative, for contractions on a generalized complete metric space

Diaz, J. B.; Margolis, Beatriz

doi:10.1090/s0002-9904-1968-11933-0

Cited by 592 publications

(213 citation statements)

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“…As illustrative applications, we shall prove a theorem which easily implies the main theorem of [2]. …”

Section: Applicationsmentioning

confidence: 98%

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On generalized complete metric spaces

Jung¹

1969

Bull. Amer. Math. Soc.

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“…As illustrative applications, we shall prove a theorem which easily implies the main theorem of [2]. …”

Section: Applicationsmentioning

confidence: 98%

“…Some fixed point theorems of the alternative for contractions on such spaces had been proved which include, as a special case, the fixed point theorem of Banach for contractions on complete metric spaces (see [l]). For further information and references» see references [2] and [4].…”

mentioning

confidence: 99%

On generalized complete metric spaces

Jung¹

1969

Bull. Amer. Math. Soc.

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“…Before proceeding to the proof of the main results, we begin with a result due to Diaz and Margolis [4].…”

Section: Stability Of the Functional Equation (11) In Matrix Banach mentioning

confidence: 99%

Stability of an ACQ-functional equation in various matrix normed spaces

Wang¹,

Sahoo²

2015

J. Nonlinear Sci. Appl.

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“…Theorem 1.1 ( [2,5]). Let (X, d) be a complete generalized metric space and let J : X → X be a strictly contractive mapping with Lipschitz constant α < 1.…”

Section: Yong Hoon Choi and Sungsik Yunmentioning

confidence: 99%