Fixed Point in a Non-metrizable Space

Abdalla Tallafha; Suad A. Alhihi

doi:10.1007/978-3-319-28443-9_5

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Conference proceeding

Fixed Point in a Non-metrizable Space

Abdalla Tallafha and Suad A. Alhihi

COMPUTATIONAL ANALYSIS, AMAT 2015, Vol.155, pp.69-78

Springer Proceedings in Mathematics & Statistics

01/01/2016

DOI: https://doi.org/10.1007/978-3-319-28443-9_5

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

Statistics & Probability

In this paper, we shall define Lipschitz condition for functions and contraction functions on non-metrizable spaces. Finally, we ask the natural question: "Does every contraction have a unique fixed point?".

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Details

Title: Fixed Point in a Non-metrizable Space
Creators - without role: Abdalla Tallafha - University of Jordan
Suad A. Alhihi - Al-Balqa Applied University
Contributors - without role: G A Anastassiou
O Duman
Publication Details: COMPUTATIONAL ANALYSIS, AMAT 2015, Vol.155, pp.69-78
Series: Springer Proceedings in Mathematics & Statistics
Publisher: Springer Nature
Number of pages: 10
Identifiers: 9926707308331
Academic Unit: Prince Sultan University
Language: English
Resource Type: Conference proceeding