Next Article in Journal
Extension and Application of the Yamada Iteration Algorithm in Hilbert Spaces
Previous Article in Journal
A Classification of Symmetric (1, 1)-Coherent Pairs of Linear Functionals
Previous Article in Special Issue
Some Common Fixed Point Theorems in Ordered Partial Metric Spaces via ℱ-Generalized Contractive Type Mappings
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Mathematics 2019, 7(3), 214; https://doi.org/10.3390/math7030214

Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations

1,†
,
1,2,†
and
3,*,†
1
Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh 791112, Arunachal Pradesh, India
2
Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
3
MUTTFixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 24 December 2018 / Revised: 13 February 2019 / Accepted: 19 February 2019 / Published: 26 February 2019
(This article belongs to the Special Issue Recent Advances in Fixed Point Theory and Its Applications)
Full-Text   |   PDF [237 KB, uploaded 26 February 2019]   |   Review Reports

Abstract

In this article, we propose some new fixed point theorem involving measure of noncompactness and control function. Further, we prove the existence of a solution of functional integral equations in two variables by using this fixed point theorem in Banach Algebra, and also illustrate the results with the help of an example. View Full-Text
Keywords: measure of noncompactness; functional integral equations; Darbo fixed point theorem measure of noncompactness; functional integral equations; Darbo fixed point theorem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Das, A.; Hazarika, B.; Kumam, P. Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations. Mathematics 2019, 7, 214.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top