A Note on tvs-G-Cone Metric Fixed Point Theory

Ing-Jer Lin; Chi-Ming Chen; Chao-Hung Chen; Tien-Ying Cheng

doi:10.1155/2012/407071

Journal of Applied Mathematics (Jan 2012)

A Note on tvs-G-Cone Metric Fixed Point Theory

Ing-Jer Lin,
Chi-Ming Chen,
Chao-Hung Chen,
Tien-Ying Cheng

Affiliations

Ing-Jer Lin: Department of Mathematics, National Kaohsiung Normal University, Taiwan
Chi-Ming Chen: Department of Applied Mathematics, National Hsinchu University of Education, Taiwan
Chao-Hung Chen: Department of Applied Mathematics, Chung Yuan Christian University, Taiwan
Tien-Ying Cheng: Department of Applied Mathematics, National Hsinchu University of Education, Taiwan

DOI: https://doi.org/10.1155/2012/407071
Journal volume & issue: Vol. 2012

Abstract

Read online

For a tvs-G-cone metric space (𝑋,𝐺) and for the family 𝒜 of subsets of X, we introduce a new notion of the tvs-ℋ-cone metric ℋ with respect to G, and we get a fixed result for the 𝒞ℬ𝒲-tvs-G-cone-type function in a complete tvs-G-cone metric space (𝒜,ℋ). Our results generalize some recent results in the literature.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

About the journal