Published February 1, 2017 | Version v1
Publication Open

Pseudo-metric space and fixed point theorem

Creators

  • 1. University of Hassan II Casablanca

Description

Abstract The aim of this paper is to give a generalized version of Caristi fixed point theorems in pseudo-metric spaces. Our results generalize and improve many of well-known theorems. As an application of our results, we give a new existence theorem to the generalized nonlinear complementarity problem and a solution of differential inclusion in the distributions setting.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

الملخص الهدف من هذه الورقة هو إعطاء نسخة معممة من نظريات كاريستي للنقاط الثابتة في المساحات المترية الزائفة. نتائجنا تعمم وتحسن العديد من النظريات المعروفة. كتطبيق لنتائجنا، نعطي نظرية وجود جديدة لمشكلة التكامل غير الخطي المعمم وحل التضمين التفاضلي في إعداد التوزيعات.

Translated Description (French)

Résumé Le but de cet article est de donner une version généralisée des théorèmes du point fixe de Caristi dans les espaces pseudo-métriques. Nos résultats généralisent et améliorent de nombreux théorèmes bien connus. Comme application de nos résultats, nous donnons un nouveau théorème d'existence au problème de complémentarité non linéaire généralisée et une solution d'inclusion différentielle dans le réglage des distributions.

Translated Description (Spanish)

Resumen El objetivo de este trabajo es dar una versión generalizada de los teoremas de punto fijo de Caristi en espacios pseudo-métricos. Nuestros resultados generalizan y mejoran muchos de los teoremas conocidos. Como aplicación de nuestros resultados, damos un nuevo teorema de existencia al problema de complementariedad no lineal generalizada y una solución de inclusión diferencial en el escenario de distribuciones.

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s13663-017-0594-z.pdf

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Additional details

Additional titles

Translated title (Arabic)
نظرية الحيز المتري الزائف والنقطة الثابتة
Translated title (French)
Espace pseudo-métrique et théorème du point fixe
Translated title (Spanish)
Espacio pseudo-métrico y teorema del punto fijo

Identifiers

Other
https://openalex.org/W2583565275
DOI
10.1186/s13663-017-0594-z

Is supplement to
https://openalex.org/W4244119288 (Other)
https://openalex.org/W2583565275 (Other)
https://openalex.org/W2297226384 (Other)
https://openalex.org/W2225624384 (Other)
https://openalex.org/W2170315646 (Other)
https://openalex.org/W2170021575 (Other)
https://openalex.org/W2152469061 (Other)
https://openalex.org/W2152230632 (Other)
https://openalex.org/W2068666235 (Other)
https://openalex.org/W1965533470 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Morocco

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