Some φ-Fixed Point Results for (F,φ,α-ψ)-Contractive Type Mappings with Applications
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
Department of Applied Sciences, University Polytechnic, Aligarh Muslim University, Aligarh 202002, India
Department of Mathematics, Taiz University, Taiz 6803, Yemen
Department of Mathematics, Hajjah University, Hajjah 1729, Yemen
Author to whom correspondence should be addressed.
Received: 6 December 2018 / Revised: 17 January 2019 / Accepted: 18 January 2019 / Published: 23 January 2019
In this paper, we introduce the notions of (F
)-contractions and (F
)-weak contractions in metric spaces and utilize the same to prove some existence and uniqueness
-fixed point results. Some illustrative examples are given to demonstrate the usefulness and effectiveness of our results. As applications, we deduce some fixed point theorems in partial metric spaces besides proving an existence result on the solution of nonlinear differential equations. Our results extend, generalize and improve some relevant results of the existing literature.
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Imdad, M.; Khan, A.R.; Saleh, H.N.; Alfaqih, W.M. Some φ-Fixed Point Results for (F,φ,α-ψ)-Contractive Type Mappings with Applications. Mathematics 2019, 7, 122.
Imdad M, Khan AR, Saleh HN, Alfaqih WM. Some φ-Fixed Point Results for (F,φ,α-ψ)-Contractive Type Mappings with Applications. Mathematics. 2019; 7(2):122.
Imdad, Mohammad; Khan, Abdur R.; Saleh, Hayel N.; Alfaqih, Waleed M. 2019. "Some φ-Fixed Point Results for (F,φ,α-ψ)-Contractive Type Mappings with Applications." Mathematics 7, no. 2: 122.
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