Some weakly contractive mapping theorems in partially ordered spaces and applications

• Autorzy: Rhoades B. E. , Pathak H. K. , Mishra S. N.
• Języki publikacji: EN

Abstrakty

EN

The purpose of this paper is to present some fixed point theorems for certain weakly contractive mappings, known as weakly (…)-contractive mappings, in a complete metric space endowed with a partial ordering. Subsequently, we apply our main results to obtain a solution of a first order periodic problem and study the possibility of optimally controlling the solutions of ordinary differential equations via dynamic programming.

Słowa kluczowe

EN

fixed-point theorem; partially ordered spaces; dynamic programming; Hamilton-Jacobi type PDE

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 3
• Strony: 621--636
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Rhoades B. E.

autor

Pathak H. K.

autor

Mishra S. N.

• Department Of Mathematics Indiana University Bloomington, Indiana 47405, U.S.A,

Bibliografia

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