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Open AccessArticle

A New Approach to the Solution of the Fredholm Integral Equation via a Fixed Point on Extended b-Metric Spaces

1
Department of Mathematics, Atilim University, İncek, 06836 Ankara, Turkey
2
Department of Medical Research, China Medical University, Taichung 40402, Taiwan
3
Department of Mathematics, Basic Sciences and Humanities, GMR Institute of Technology, Andhra Pradesh, Rajam 532127, India
4
Department of Mathematics, College of Science, Taibah University, Al Madina Al Munawwara, Madina 41411, Saudi Arabia
*
Author to whom correspondence should be addressed.
Symmetry 2018, 10(10), 512; https://doi.org/10.3390/sym10100512
Received: 7 September 2018 / Revised: 27 September 2018 / Accepted: 13 October 2018 / Published: 16 October 2018
(This article belongs to the Special Issue Fixed Point Theory and Fractional Calculus with Applications)
It is very well known that real-life applications of fixed point theory are restricted with the transformation of the problem in the form of f ( x ) = x . (1) The Knaster–Tarski fixed point theorem underlies various approaches of checking the correctness of programs. (2) The Brouwer fixed point theorem is used to prove the existence of Nash equilibria in games. (3) Dlala et al. proposed a solution for magnetic field problems via the fixed point approach. View Full-Text
Keywords: extended b-metric space; extended cyclic orbital contraction; extended cyclic orbital-?-contraction and Fredholm integral equation extended b-metric space; extended cyclic orbital contraction; extended cyclic orbital-?-contraction and Fredholm integral equation
MDPI and ACS Style

Karapınar, E.; Kumari, P.S.; Lateef, D. A New Approach to the Solution of the Fredholm Integral Equation via a Fixed Point on Extended b-Metric Spaces. Symmetry 2018, 10, 512. https://doi.org/10.3390/sym10100512

AMA Style

Karapınar E, Kumari PS, Lateef D. A New Approach to the Solution of the Fredholm Integral Equation via a Fixed Point on Extended b-Metric Spaces. Symmetry. 2018; 10(10):512. https://doi.org/10.3390/sym10100512

Chicago/Turabian Style

Karapınar, Erdal; Kumari, Panda S.; Lateef, Durdana. 2018. "A New Approach to the Solution of the Fredholm Integral Equation via a Fixed Point on Extended b-Metric Spaces" Symmetry 10, no. 10: 512. https://doi.org/10.3390/sym10100512

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

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