On Generalized (α, ψ, MΩ)-Contractions with w-Distances and an Application to Nonlinear Fredholm Integral Equations
Department of Mathematics, Payame Noor University, Tehran 19395-4697, Iran
Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339 Bojnord, Iran
Department of Mathematics and General Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940 Leioa (Bizkaia), Spain
Authors to whom correspondence should be addressed.
Received: 14 June 2019 / Revised: 9 July 2019 / Accepted: 15 July 2019 / Published: 2 August 2019
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The study of asymmetric structures and their applications in mathematics is interesting. One of the types of asymmetric structures on a metric space has been initiated by Kada et al. (1996) and is known as a w
-distance. That lack of symmetry attracts many researchers in fixed point theory. In this manuscript, we introduce a new type of contraction named generalized
-contractive mappings via w
-distances, and then we prove some new related fixed point results, generalizing and improving the recent results of Lakzian et al. (2016) and others. At the end, we give some examples. To illustrate the usability of the new theory, we apply our obtained results to resolve a nonlinear Fredholm-integral-type equation.
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Lakzian, H.; Barootkoob, S.; Mlaiki, N.; Aydi, H.; De la Sen, M. On Generalized (α, ψ, MΩ)-Contractions with w-Distances and an Application to Nonlinear Fredholm Integral Equations. Symmetry 2019, 11, 982.
Lakzian H, Barootkoob S, Mlaiki N, Aydi H, De la Sen M. On Generalized (α, ψ, MΩ)-Contractions with w-Distances and an Application to Nonlinear Fredholm Integral Equations. Symmetry. 2019; 11(8):982.
Lakzian, Hossein; Barootkoob, Sedigheh; Mlaiki, Nabil; Aydi, Hassen; De la Sen, Manuel. 2019. "On Generalized (α, ψ, MΩ)-Contractions with w-Distances and an Application to Nonlinear Fredholm Integral Equations." Symmetry 11, no. 8: 982.
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