Luigi Muglia

553 total citations
41 papers, 422 citations indexed

About

Luigi Muglia is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Luigi Muglia has authored 41 papers receiving a total of 422 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Computational Theory and Mathematics, 21 papers in Numerical Analysis and 18 papers in Applied Mathematics. Recurrent topics in Luigi Muglia's work include Optimization and Variational Analysis (26 papers), Advanced Optimization Algorithms Research (17 papers) and Fixed Point Theorems Analysis (15 papers). Luigi Muglia is often cited by papers focused on Optimization and Variational Analysis (26 papers), Advanced Optimization Algorithms Research (17 papers) and Fixed Point Theorems Analysis (15 papers). Luigi Muglia collaborates with scholars based in Italy, China and Saudi Arabia. Luigi Muglia's co-authors include Giuseppe Marino, Yonghong Yao, Vittorio Colao, Hong‐Kun Xu, Paolamaria Pietramala, Luigi Montoro, Berardino Sciunzi, Nawab Hussain, Afrah A. N. Abdou and Kazimierz Goebel and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.

In The Last Decade

Luigi Muglia

40 papers receiving 406 citations

Peers

Luigi Muglia
Luigi Muglia
Citations per year, relative to Luigi Muglia Luigi Muglia (= 1×) peers Vittorio Colao

Countries citing papers authored by Luigi Muglia

Since Specialization
Citations

This map shows the geographic impact of Luigi Muglia's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Luigi Muglia with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Luigi Muglia more than expected).

Fields of papers citing papers by Luigi Muglia

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Luigi Muglia. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Luigi Muglia. The network helps show where Luigi Muglia may publish in the future.

Co-authorship network of co-authors of Luigi Muglia

This figure shows the co-authorship network connecting the top 25 collaborators of Luigi Muglia. A scholar is included among the top collaborators of Luigi Muglia based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Luigi Muglia. Luigi Muglia is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Muglia, Luigi, et al.. (2025). Second order regularity for solutions to anisotropic degenerate elliptic equations. Journal of Differential Equations. 435. 113250–113250. 1 indexed citations
2.
Montoro, Luigi, et al.. (2024). Regularity and symmetry results for the vectorial p-Laplacian. Nonlinear Analysis. 251. 113700–113700. 1 indexed citations
3.
Montoro, Luigi, Luigi Muglia, & Berardino Sciunzi. (2023). Classification of solutions to $$-\Delta u={u^{-\gamma }}$$ in the half-space. Mathematische Annalen. 389(3). 3163–3179. 2 indexed citations
4.
Montoro, Luigi, et al.. (2022). Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 153(6). 1858–1882. 1 indexed citations
5.
Xu, Hong‐Kun & Luigi Muglia. (2020). On solving variational inequalities defined on fixed point sets of multivalued mappings in Banach spaces. Journal of Fixed Point Theory and Applications. 22(4). 4 indexed citations
6.
Colao, Vittorio, Luigi Muglia, & Hong‐Kun Xu. (2016). An existence result for a new class of impulsive functional differential equations with delay. Journal of Mathematical Analysis and Applications. 441(2). 668–683. 23 indexed citations
7.
Marino, Giuseppe, et al.. (2015). On the strong convergence of a general-type Krasnosel’skii–Mann’s algorithm depending on the coefficients. Journal of Fixed Point Theory and Applications. 18(1). 1–25. 3 indexed citations
8.
Hussain, Nawab, et al.. (2015). On some Mann’s type iterative algorithms. Fixed Point Theory and Applications. 2015(1). 7 indexed citations
9.
Marino, Giuseppe, et al.. (2015). Matrix approaches to approximate solutions of variational inequalities in Hilbert spaces. Optimization. 65(6). 1259–1275. 1 indexed citations
10.
Marino, Giuseppe, et al.. (2014). Iterative Methods and Applications. Journal of Applied Mathematics. 2014. 1–2. 2 indexed citations
11.
Muglia, Luigi & Paolamaria Pietramala. (2013). Second-Order Impulsive Differential Equations with Functional Initial Conditions on Unbounded Intervals. SHILAP Revista de lepidopterología. 2013. 1–9. 3 indexed citations
12.
Muglia, Luigi & Yonghong Yao. (2012). A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically ϕ‐Strongly Pseudocontractive Mappings. SHILAP Revista de lepidopterología. 2012(1). 1 indexed citations
13.
Yao, Yonghong, Giuseppe Marino, & Luigi Muglia. (2012). A modified Korpelevich's method convergent to the minimum-norm solution of a variational inequality. Optimization. 63(4). 559–569. 75 indexed citations
14.
Marino, Giuseppe, et al.. (2010). NOTES ON GRAPH-CONVERGENCE FOR MAXIMAL MONOTONE OPERATORS. Bulletin of the Australian Mathematical Society. 83(1). 22–29. 2 indexed citations
15.
Marino, Giuseppe, et al.. (2009). On a Two-Step Algorithm for Hierarchical Fixed Point Problems and Variational Inequalities. Journal of Inequalities and Applications. 2009(1). 208692–208692. 45 indexed citations
16.
Marino, Giuseppe, et al.. (2009). A Hybrid Projection Algorithm for Finding Solutions of Mixed Equilibrium Problem and Variational Inequality Problem. Fixed Point Theory and Applications. 2010(1). 63 indexed citations
17.
Colao, Vittorio, et al.. (2009). ON AN IMPLICIT HIERARCHICAL FIXED POINT APPROACH TO VARIATIONAL INEQUALITIES. Bulletin of the Australian Mathematical Society. 80(1). 117–124. 29 indexed citations
18.
Marino, Giuseppe, et al.. (2008). Ishikawa iterations for equilibrium and fixed point problems for nonexpansive mappings in Hilbert spaces. 9. 449–464. 3 indexed citations
19.
Marino, Giuseppe, et al.. (2008). Strong Convergence of Viscosity Methods for Continuous Pseudocontractions in Banach Spaces. International Journal of Stochastic Analysis. 2008(1). 1 indexed citations
20.
Marino, Giuseppe, Paolamaria Pietramala, & Luigi Muglia. (2004). Impulsive neutral semilinear equations on unbounded intervals. Nonlinear functional analysis and applications. 9. 527–543. 2 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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