Fixed point theorems in soft cone two metric spaces and two normed spaces
2019
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Advisor: Dr. Öğr. Üyesi Sabri Birlik
Abstract (EN)
In this study, a new approach was brought the theory of metric space with the help of cone. In this study, ıt was used from the article of Huang and Zhang " Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings'' published in 2007. In addition, cone two metric spaces are defined by using the concepts of two metric spaces, and results related to this concept are discussed and proved. Afterward, the effect of cone concept on soft sets is contextualized. New theorems and results by defining soft cone metric and soft cone two metric concepts are obtained. In addition, normed spaces are examined in this space. Definition and theorems of cone normed space, soft cone normed space, cone two normed space, and soft cone two normed space are given. Finally, the fixed point theorems on all these spaces are examined. New theories and results related to these theorems have been proved. Key Words: Cone Metric, Cone 2-Metric, Soft Cone, Cone 2-Norm, Fixed Point Theorems
Author
Yağmur Taşdemir
How to Cite
Yağmur Taşdemir (Master Thesis). Fixed point theorems in soft cone two metric spaces and two normed spaces, 2019, Gaziantep University.
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