Théorie de la stabilité dans les équations difféerentielles ordinaires

Rouche, N.

doi:10.1007/978-3-642-10949-2_5

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2016

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“…Banach contraction principle is one of the most important aspects of fixed point theory as a source of the existence and uniqueness of solutions of many problems in various branches inside and outside mathematics (see, [9,12,17]). Some generalizations of this theorem replace the contraction condition by a weaker.…”

Section: Introductionmentioning

confidence: 99%

On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming

Soliman

Nabil

2016

Journal of Function Spaces

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In this work, we establish some coincidence point results for self-mappings satisfying rational type contractions in generalized metric spaces in the sense of Branciari [7]. Presented coincidence point theorems weak and extend numerous existing theorems in the literature besides furnishing some illustrative examples for our results. Finally, our results applies, in particular, to the study of solvability of functional equations arising in dynamic programming.

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Section: Introductionmentioning

confidence: 99%