Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces-Reference-Cited by-同舟云学术

Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Marín J.¹,Romaguera S.¹,Tirado P.¹

Affiliation:

1. Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, Spain

Abstract

By using a suitable modification of the notion of a w-distance we obtain some fixed point results for generalized contractive set-valued maps on complete preordered quasi-metric spaces. We also show that several distinguished examples of non-metrizable quasi-metric spaces and of cones of asymmetric normed spaces admit w-distances of this type. Our results extend and generalize some well-known fixed point theorems.

Funder

Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2013/269246.pdf

Reference28 articles.

1. Nonconvex minimization problems

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