Some existence and uniqueness theorems on ordered metric spaces via generalized distances-Reference-Cited by-同舟云学术

Some existence and uniqueness theorems on ordered metric spaces via generalized distances

Published:2013-03-01 Issue:1 Volume:2013 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Rouzkard Fayyaz,Imdad Mohammad,Gopal Dhananjay

Abstract

Abstract The purpose of this paper is to prove some fixed point theorems in a complete metric space equipped with a partial ordering using w-distances together with the aid of altering functions. MSC:54H25, 47H10.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2013-45.pdf

Reference18 articles.

1. Kada O, Suzuki T, Takahashi W: Nonconvex minimization theorems and fixed point theorems in complete metric spaces. Math. Jpn. 1996, 44: 381–391.

2. Caristi J: Fixed point theorems for mapping satisfying inwardness conditions. Trans. Am. Math. Soc. 1976, 215: 241–251.

3. Ekeland I: Nonconvex minimization problem. Bull. Am. Math. Soc. 1979, 1: 443–474. 10.1090/S0273-0979-1979-14595-6

4. Pitman Research Notes in Mathematics Series 252;W Takahashi,1991

5. Ran ACM, Reurings MCB: A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Am. Math. Soc. 2004, 132: 1435–1443. 10.1090/S0002-9939-03-07220-4

Cited by 9 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. Common Fixed Point Theorems on Tricomplex Valued Metric Space;Mathematical Problems in Engineering;2022-05-30

2. An implicit relation, relational theoretic approach under w-distance and application to nonlinear matrix equations;Journal of Inequalities and Applications;2021-10-18

3. Fixed-Point Theorems for α-Admissible Mappings with w-Distance and Applications to Nonlinear Integral Equations;Mathematical Problems in Engineering;2020-03-28

4. Contraction mapping principle in partially ordered quasi metric space concerning to w-distances;The Journal of Nonlinear Sciences and Applications;2017-02-23

5. SOME EXISTENCE AND UNIQUENESS THEOREMS ON ORDERED METRIC SPACES VIA GENERALIZED DISTANCES UNDER NEW CONTROL FUNCTIONS;Honam Mathematical Journal;2016-09-25