Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations
Department of Mathematics, Rajiv Gandhi University, Rono Hills, Doimukh 791112, Arunachal Pradesh, India
Department of Mathematics, Gauhati University, Guwahati 781014, Assam, India
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
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.
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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.
Das A, Hazarika B, Kumam P. Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations. Mathematics. 2019; 7(3):214.
Das, Anupam; Hazarika, Bipan; Kumam, Poom. 2019. "Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations." Mathematics 7, no. 3: 214.
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