THERMAL SCIENCE
International Scientific Journal
AN INVESTIGATION OF NEW QUICKER IMPLICIT ITERATIONS IN HYPERBOLIC SPACES
ABSTRACT
The present paper investigates the convergence of some new implicit iterations of coupled fixed point for non-linear contractive like functions on W-hyperbolic metric spaces. Moreover, we provide a theoretical comparison of our new iterations to illustrate the fastest iteration the coupled fixed point.
KEYWORDS
PAPER SUBMITTED: 2020-04-19
PAPER REVISED: 2020-06-02
PAPER ACCEPTED: 2020-06-10
PUBLISHED ONLINE: 2020-10-25
THERMAL SCIENCE YEAR
2020, VOLUME
24, ISSUE
Supplement 1, PAGES [S199 - S207]
- Guo, D., Lakshmikantham, V., Coupled Fixed Points of Non-Linear Operations with Applications, Non-Linear Anal., 11 (1987), 52, pp. 525 -562
- Bhaskar, T. G., Lakshmikantham, V., Fixed Point Theorems in Partially Ordered Metric Spaces and Applications, Non-linear Anal., 65 (2006), 7, pp. 1379-1393
- Lakshmikantham, V., Ćirić, L., Coupled Fixed Point Theorems for Non-Linear Contractions in Partially Ordered Metric Spaces, Non-Linear Anal., 70 (2009), 12, pp. 4341-4349
- Takahashi, W., A Convexity in Metric Space and Non-Expansive Mappings, Kodai Math. Sem. Rep., 22 (1970), 2, pp. 142-149
- Kohlenbach, U., Some Logical Metatherems with Applications in Functional Analysis, Transactions of the American Mathematical Society, 357 (2004), 1, pp. 89-128
- Chugh, R., et al., On Analytical and Numerical Study of Implicit Fixed Point Iterations, Cogent Mathematics, 2 (2015), 1021623
- Chang, S. S, et al., Demi-Closed Principle and Weak Convergence Problems for Asymptotically Non-Expansive Mappings, Journal Korean Math. Soc., 38 (2001), 6, pp. 1245-1260
- Ishikawa, S., Fixed Points and Iteration of Non-Expansive Mappings of in a Banach Spaces, Proc. Amer. Math. Soc., 73 (1967), 2, pp. 61-71
- Osilike, M. O., Udomene, A., Weak and Strong Convergence Theorems for Fixed Points of Asymptotically non-expansive mappings, Math. Comput. Modelling, 32 (2000), 10, pp. 1181-1191
- Ćirić, Lj. B., et al., On Mann Implicit Iterations for Strongly Accretive and Strongly Pseudo-Contractive Mappings, Applied Mathematics and Computation, 198 (2008), 1, pp. 128-137
- Ćirić, Lj. B, et al., On the Convergence of the Ishikawa Iterates to a Common Fixed Point of Two Mappings, Archivum Mathematicum (Brno) Tomus, 2 (2003), 2, pp. 123-127
- Yildirim, I., Abbas, M., Convergence Rate of Implicit Iteration Process and a Data Dependence Result, European Journal of Pure and Applied Mathematics, 11 (2018), 1, pp. 189-201
- Soliman, A. H., Zidan, A. M., A New Coupled Fixed Point Result in Extended Metric Spaces with an Application Study the Stability of Set-Valued Functional Equations, Journal of Function Space, 2019 (2019), ID4146328
- Soliman, A. H., Zidan, A. M., Existential Examination of the Coupled Fixed Point in Generalized b-Metric Spaces and an Application, Journal of Intelligent and Fuzzy Systems, 38 (2020), 3, pp. 2801-2807
- Abdel-Aty, et al., A Quantum Classification Algorithm for Classification Incomplete Patterns Based on Entanglement Measure, Journal of Intelligent and Fuzzy Systems, 38 (2020), 3, pp. 2809- 2816
- Abdel-Aty, A.-H., et al., New Analytical Solutions of Wick-Type Stochastic Schamel KdV Equation Via Modified Khater Method, Journal of Information Science and Engineering, On-line first, 2020
- Ahmed, M. A., Zidan, A. M., Fixed Point Theorems in Left and Right Dislocated Quasi-Multiplicative Metric Spaces, International Journal of Mathematical Analysis and Applications, 4 (2017), 5, pp. 31-34
- Ahmed, M. A., et al., Weak Quasi-Partial Metric Spaces and Fixed Point Results, International Journal of Advances in Mathematics, 1 (2017), 6, pp. 123-136
- Park, C., et al., Dynamical Analysis of the Non-Linear Complex Fractional Emerging Telecommunication Model with Higher-Order Dispersive Cubic-Quintic, Alexandria Engineering Journal, 59 (2020), 3, pp. 1425-1433
- Sagheer, A., et al., A Novel Autonomous Perceptron Model for Pattern Classification Applications, Entropy, 21 (2019), 8, 763
- Soliman, A. H., et al., On the Existence of Fixed Points of Two Rational Type Contractions in A Dislocated Quasi Multiplicative Metric Spaces and It's Application, Journal of Advanced Studies in Topology, 8 (2017), 1, pp. 59-66
- Soliman, A. H., et al., A New Contribution the Fixed Point Theory in b-Generalized Metric Spaces (b-G.M.C), Journal of Advanced Studies in Topology, 8 (2017), 1, pp. 111-116
- Zidan, M., et al., Low-Cost Autonomous Perceptron Neural Network Inspired by Quantum Computation, AIP Conference Proceedings, 1905 (2017), 1, 020005
- Zidan, M., et al., An Autonomous Competitive Learning Algorithm using Quantum Hamming Neural Networks, Proceedings, International Joint Conference on Neural Networks (IJCNN, Killarney, Ireland, 2015, pp. 1-7
- Soliman, A. H., et al., On Quasi-Partial Generalized Type of Metric Spaces and an Application Complexity Analysis of Computer Algorithms, Alexandria Engineering Journal, 59 (2020), 3, pp. 1233-1238
- Das, S. C., et al., An Application of Preservation Technology in Inventory Control System with Price Dependent Demand and Partial Backlogging, Alexandria Engineering Journal, 59 (2020), 3, pp. 1359-1369
- Rashwan, R. A., et al., Common Fixed Point Results for Weakly Compatible Mappings Under Implicit Relations in Complex Valued G-Metric Spaces, Inf. Sci. Lett., 8 (2019), 119
- Abu-Donia, H. M., et al., Some Fixed-Point Theorems in Fuzzy 2-metric spaces under ψ-contractive mappings, Inf. Sci. Lett., 2 (2020), 1, pp. 21-25
- Ereu, J., et al., On Solutions of Non-Linear Integral Equations in the Space of Functions of Shiba-Bounded Variation, Appl. Math. Inf. Sci., 14 (2020), 3, pp. 393-404
- Parvaneh, V., et al., Fixed Point Results for Some Contractions in Non-Triangular Non-Archimedean Extended Fuzzy b-Metric Spaces, Appl. Math. Inf. Sci., 14 (2020), pp. 519-526