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 Faculty Details
 Central University of Kerala
04 April 2026

Dr. Shaini Pulickakunnel


Brief Profile

Dr. Shaini obtained her Master’s degree in Mathematics from Mahatma Gandhi University, Kerala, and earned her D.Phil. in Mathematics from the University of Allahabad in 2008. She began her academic career in the same year as an Assistant Professor in the Department of Mathematics and Statistics at Sam Higginbottom Institute of Agriculture, Technology and Sciences, Allahabad. In December 2013, she joined the Department of Mathematics at the Central University of Kerala.

Dr. Shaini has published 46 research papers in reputed journals and has authored two books. She has successfully guided six Ph.D. scholars and is currently supervising four doctoral research students.

46

Publications

2

Projects

10

Students

14

Courses Taught


...
Dr. Shaini Pulickakunnel
Professor
Department of Mathematics
  9048962747
  [email protected]
  Personal Website
  Vidwan Profile
Academic Identity
 Google Scholar ID
 ORCID
 Scopus ID
 Researcher ID

 Research

None

 Recent and Major Publications

  1. Sreerekha Parappilly, Shaini Pulickakunnel,"Some fixed circle theorems in multiplicative metric spaces",Advances in Fixed Point Theory,15 (2025), Article ID 30

  2. Prajisha E & Shaini P.,"Common Fixed Point and Common Coupled Fixed Point Theorems for Weakly Monotone Mappings,",Boletim da Sociedade Paranaense de Matematica,,Volume 42, Article number 62992, DOI 10.5269/bspm.62992

  3. Valappil, Sreya Valiya & Pulickakunnel, Shaini,"Some fixed point results for relatively nonexpansive mappings in hyperbolic spaces using Thakur iteration",Asian-European Journal of Mathematics,Volume 17, Issue 21, Article number 2450008, DOI:10.1142/S1793557124500086

  4. Deepa Karichery and Shaini Pulickakunnel,"Multidimensional common fixed point theorems for multivalued mappings in dislocated metric spaces",Revista de la Unión Matemática Argentina 2021,Vol. 62 No. 2 (2021) Pages 275–293

  5. Deepa Karichery & Shaini Pulickakunnel,"FG-COUPLED Fixed Point Theorems for Contractive and Generalized Quasi-Contractive Mappings",Sarajevo Journal of Mathematics,Vol.19 (32), No.2 (2023), 141–154, DOI: 10.5644/SJM.19.02.01

  6. Valiya Valappil, S.; Pulickakunnel, S.,"Some fixed point theorems and applications in Busemann spaces",Bolletino dell Unione Matematica Italiana,10.1007/s40574-023-00346-y

  7. Sreya Valiya Valappil, Shaini Pulickakunnel,"Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces",Topological Algebra and its Applications,https://doi.org/10.1515/taa-2022-0132

  8. Prajisha E.; Shaini P.,,"FG- coupled fixed point theorems in partially ordered S* metric spaces",3C TIC: Cuadernos de desarrollo aplicados a las TIC,DOI: 10.17993/3ctic.2022.112.81-97

  9. John Sebastian; Shaini Pulickakunnel,"Fixed point theorems for suzuki nonexpansive mappings in banach spaces",3C TIC: Cuadernos de desarrollo aplicados a las TIC,DOI: 10.17993/3ctic.2022.112.15-24

  10. Sreya Valiya Valappil; Shaini Pulickakunnel,,"The Leray-Schauder Principle in Geodesic Spaces",3C TIC: Cuadernos de desarrollo aplicados a las TIC,DOI: 10.17993/3ctic.2022.112.99-106

  11. Prajisha E., Shaini P.,"FG Coupled Fixed Point Theorems in Generalized Metric Spaces",Mathematical Sciences-International Research Journal,No.43832, pp 58-62.

  12. Sherly George and Shaini Pulickakunnel,"Common Fixed Points for Expansive Mappings in Cone B-Metric Spaces,",International Journal of Recent Scientific Research Research,,Vol. 9, Issue, 2(A), pp. 23730-23734,

  13. Prajisha E. and Shaini P,"Coupled fixed point theorems for mappings satisfying rational type conditions in partially ordered metric spaces",Asian-European Journal of Mathematics,https://doi.org/10.1142/S1793557122501947

  14. Prajisha E. and Shaini P,"Coupled fixed point theorems for mappings satisfying Geraghty type contractive conditions",Italian Journal of Pure and Applied Mathematics,N. 46–2021 (827–835)

  15. Sreya V.V. and Shaini P,"Some Continuation results in Uniquely Geodesic Spaces",Journal of Physics: Conference Series,doi:10.1088/1742-6596/1850/1/012046

  16. Karichery, D.; Pulickakunnel, S.,"Multidimensional common fixed point theorems for multivalued mappings in dislocated metric spaces",Revista de la Unión Matemática Argentina,DOI: 10.33044/REVUMA.1403

  17. Nageswara Rao, K.; Shaini, P.; Germina, K.A.,"Friendship-Like Graphs and It’s Classiffication",Springer Proceedings in Mathematics and Statistics,10.1007/978-981-15-1157-8_13

  18. Prajisha E., Shaini P.,"FG-Coupled Fixed Point Theorems for various Contractions in Partially Ordered Metric Spaces,",Sarajevo Journal of Mathematics,Vol.15 (28), No.2, 291 – 307

  19. Deepa Karichery and Shaini Pulickakunnel,,"FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces,",J o u r n a l of Mathematics and Applications JMA,No 41, pp 157-170

  20. Sherly George, Shaini Pulickakunnel,"Some Fixed Point Theorems For Extended Expansion Mappings On Cone Metric Spaces",International Journal of Mathematical Archive,,8(10), 227-233

  21. Sherly George and Shaini Pulickakunnel,"15. Common fixed point theorems and Periodic point theorems in cone metric Spaces for T-contraction type mappings",Asian Journal of Mathematics and Computer Researh,7(1):38-48, 2016

  22. Sherly George, Shaini P;,"Approximate fixed point theorems in generalized metric spaces,",Gulf Journal of Mathematics,2, 83-92

  23. Sherly George, Shaini P,"On the Convergence of New Iterations with Errors for T-Zamfirescu Operators",Journal of Contemporary Applied Mathematics,2, 1-11

  24. Shaini P, Neeta Singh,"A new three-step iterative process for common fixed points of a finite family of Z-operators",Journal of Contemporary Applied Mathematics,1, 13-19

  25. Shaini P, Neeta Singh,"Approximation of common fixed points for a finite family of Zamfirescu operators",General Mathematics,,Vol.18, 175-184

  26. Pulickakunnel, S.; Singh, N.,"On the convergence of three-step iterations in the class of zamfirescu operators",International Journal of Mathematical Analysis,Vol. 3, no. 25, 1245 - 1249

  27. Shaini P, Neeta Singh,"Fixed Point Theorems for Mappings Satisfying Interior Condition",Int. Journal of Math. Analysis,,Vol. 2, no. 1, 45 - 54

  28. ,"Fixed point theorems for 1-set contractions ", General Mathematics, 2011, Vol.19, p.59–64

  29. ," Fixed Point theorems for T-Zamfirescu operators",Kragujevac Journal of Mathematics,, 2012, 36, 199-206

  30. ,"Fixed Point theorems in normed linear spaces using a generalized Z-type condition", Kragujevac Journal of Mathematics,2012, 36 , 207-214,

  31. ,"Approximate fixed point theorems for generalized T-contractions in metric spaces", Stud. Univ. Babe¸s-Bolyai Math.,2012, 57, 551–559

  32. ,"Convergence theorems for a finite family of T- Zamfirescu operators", Functional analysis: Approximation and computation,5:2 (2013), 1–9

  33. ,"Equivalence of the convergences of T-Picard, T-Mann and T-Ishikawa iterations for the class of T-Zamfirescu operators", Le Matematiche ,2014, LXIX, 57-69

  34. ,"A Characterization Of K-Uniform DCSL Graphs",International Journal of Computer Applications ,Volume 125-No.7, 2015

  35. ,"Fixed Point Theorems For Condensing Mappings Satisfying Leray-Schauder Type Conditions", Commun. Korean Math. Soc. ,31 (2016), No. 1, Pp. 139-145

  36. ," On The Dimension of Vertex Labeling of K-Uniform Dcsl of K-Uniform Caterpillar",CarpathianMath. Publ. ,2016, 8 (1), 134–149

  37. ,"Learning graphs and 1-uniform dcsl graphs", Discrete Mathematics, Algorithms and Applications , Vol. 9, No. 4 (2017) 1750046,

  38. ,"Nageswara Rao K., Shaini P., Germina K. A., Constructions of 1-uniform dcsl graphs using Well-graded families of sets",Electronic Notes in Discrete Mathematics,2016, 53, 25-41.

  39. ,"Generalized form of triple fixed point theorems in partially ordered metric spaces", Nonlinear Functional Analysis and Applications(NFAA).,Vol. 22, No. 3 (2017), pp. 525-541

  40. ,"Characterization of k- uniform dscl graphs and k-graded family of sets",Global Journal of Pure and Applied Mathematics.,Volume 13, Number 5 (2017), 298-307

  41. ," FG- Coupled Fixed Point Theorems In Cone Metric Spaces ",Carpathian Mathematical Publications , 2017, 9 (2), 163–170 26.

  42. ,"Some Classes Of Dispersible Dcsl-Graphs, Carpathian ",Carpathian Math. Publ. ,2017, 9 (2), 128–133

  43. ,"Coupled fixed point theorems in Partially ordered sets ",Journal Nonlinear Analysis and Application, 2018 No.2 (2018) 76-82

  44. ,"FG-coupled Fixed Point Theorems for Contractive Type Mappings in Partially Ordered Metric Spaces", J o u r n a l of Mathematics and Applications , No 41, pp 157-170 (2018)

  45. ," FG-Coupled Fixed Point Theorems for various Contractions in Partially Ordered Metric Spaces", Sarajevo Journal of Mathematics, Vol.15 (28), No.2, (2019), 291 – 307

  46. ," Coupled Coincidence Point Theorems of Mappings in Partially Ordered Metric Space ",Journal of Nonlinear Analysis and Optimization,Vol. 11(1) (2020), 29-40


 Group Members

 Research Projects Undertaken

Set -Valuations of Graphs: Distance Compatible Set - Labeled Graphs and their Applications

 DST

SERB Major Research Project

Fixed Point Theorems for various classes of 1-set contractions and Hemi-contractive maps

 UGC

UGC- BSR Start up project

 Patents

    None

 Miscellaneous

 Membership/Fellowship of other institutions/professionals societies : 
American Mathematical Society, Member
 Student related co-curricular, extension and field based activities and counseling. 
NSS Programme Officer, Maths Club Co-ordinator
 Contribution to corporate sector-management of the department and institution through participation in academic and administration,committees and responsibilities.
 Other activities/Responsibilities :
 Any other relevant information, if not given above :

 Contact

Full Name
 Dr. Shaini Pulickakunnel
Address
 Mathematics Department Central University of Kerala, Periye, Kasaragod
Telphone Number
(With STD Code)
 9048962747
PinCode
 671316

 Teaching & Research Guidance

  • Algebraic Topology:Post Graduate
  • Linear Algebra:Post Graduate
  • Ordinary Differential Equations:Post Graduate
  • Topology:Post Graduate
  • Complex Analysis:Post Graduate
  • Functional Analysis:Post Graduate
  • Fixed Point Theory:Post Graduate
  • Operator Theory:Post Graduate
  • Differential Geometry:Post Graduate
  • Real Analysis:Under Graduate
  • Engineering Mathematics:Under Graduate
  • Discrete Mathematics:Post Graduate
  • Number Theory:Post Graduate
  • Multivariable Calculus:Post Graduate