Extended suprametric spaces and Stone-type theorem-Reference-Cited by-同舟云学术

Extended suprametric spaces and Stone-type theorem

Published:2023 Issue:10 Volume:8 Page:23183-23199
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Panda Sumati Kumari¹,Agarwal Ravi P²,Karapínar Erdal³⁴

Affiliation:

1. Department of Mathematics, GMR Institute of Technology, Rajam-532127, Andhra Pradesh, India

2. Department of Mathematics, Texas A & M University-Kingsville 700 University Blvd., MSC 172 Kingsville, Texas 78363-8202

3. Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan

4. Department of Mathematics, Çankaya University, 06790, Etimesgut, Ankara, Turkey

Abstract

<abstract><p>Extended suprametric spaces are defined, and the contraction principle is established using elementary properties of the greatest lower bound instead of the usual iteration procedure. Thereafter, some topological results and the Stone-type theorem are derived in terms of suprametric spaces. Also, we have shown that every suprametric space is metrizable. Further, we prove the existence of a solution of Ito-Doob type stochastic integral equations using our main fixed point theorem in extended suprametric spaces.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference22 articles.

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4. A. Branciari, A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces, Publ. Math.-Debrecen., 57 (2000), 31–37.

5. S. Czerwik, Contraction mappings in $b$-metric spaces, Acta Math. Univ. Osstrav., 1 (1993), 5–11.

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