θ-Metric Space: A Generalization-Reference-Cited by-同舟云学术

θ-Metric Space: A Generalization

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Khojasteh Farshid¹,Karapınar Erdal²,Radenović Stojan³

Affiliation:

1. Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran

2. Department of Mathematics, Atilim University, İncek, 06836 Ankara, Turkey

3. Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia

Abstract

We introduce the notion ofθ-metric as a generalization of a metric by replacing the triangle inequality with a more generalized inequality. We investigate the topology of the spaces induced by aθ-metric and present some essential properties of it. Further, we give characterization of well-known fixed point theorems, such as the Banach and Caristi types in the context of such spaces.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2013/504609.pdf

Reference13 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. Fixed point theorems for mappings satisfying inwardness conditions

Cited by 25 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Convex contractions on extended $ b $-metric spaces;AIMS Mathematics;2024

2. FURTHER RESULTS ON 0-METRIC SPACES;FIXED POINT THEOR-RO;2024

3. Non-linear contractions via auxiliary functions and fixed point results with some consequences;INT J NONLINEAR ANAL;2022

4. Some Fixed Point Theorems on $b$-$\theta$-metric spaces via $b$-simulation Functions;Fundamental Journal of Mathematics and Applications;2021-09-01

5. Solution to second order differential equations via Fw-contractions;Fixed Point Theory;2021-07-01