Brief Profile
After obtaining Masters’ degree in Mathematics from Mahatma Gandhi University, Kerala, Dr Shaini obtained her D.Phil. degree from the University of Allahabad in the year 2008.. She started her academic carrier as Assistant Professor in the Department of Mathematics and Statistics at Sam Higginbottom Institute of Agriculture, Technology and Sciences, Allahabad in 2008 and moved to Central University of Kerala in December 2013. She has published 38 research papers, authored two books and guided 6 PhD scholars. Currently, 2 students are working for PhD under her supervision.
Recent and Major Publications
- 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
- 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
- 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
- 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
- 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
- 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
- Prajisha E., Shaini P.,"FG Coupled Fixed Point Theorems in Generalized Metric Spaces",Mathematical Sciences-International Research Journal,No.43832, pp 58-62.
- 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,
- 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
- 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)
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- Sherly George, Shaini P;,"Approximate fixed point theorems in generalized metric spaces,",Gulf Journal of Mathematics,2, 83-92
- Sherly George, Shaini P,"On the Convergence of New Iterations with Errors for T-Zamfirescu Operators",Journal of Contemporary Applied Mathematics,2, 1-11
- 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
- Shaini P, Neeta Singh,"Approximation of common fixed points for a finite family of Zamfirescu operators",General Mathematics,,Vol.18, 175-184
- 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
- Shaini P, Neeta Singh,"Fixed Point Theorems for Mappings
Satisfying Interior Condition",Int. Journal of Math. Analysis,,Vol. 2, no. 1, 45 - 54
- ,"Fixed point theorems for 1-set contractions
", General Mathematics, 2011, Vol.19, p.59–64
- ," Fixed Point theorems for T-Zamfirescu operators",Kragujevac Journal of Mathematics,, 2012, 36, 199-206
- ,"Fixed Point theorems in normed linear spaces using a generalized Z-type condition", Kragujevac Journal of Mathematics,2012, 36 , 207-214,
- ,"Approximate fixed point theorems for generalized T-contractions in metric spaces", Stud. Univ. Babe¸s-Bolyai Math.,2012, 57, 551–559
- ,"Convergence theorems for a finite family of T- Zamfirescu operators", Functional analysis: Approximation and computation,5:2 (2013), 1–9
- ,"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
- ,"A Characterization Of K-Uniform DCSL Graphs",International Journal of Computer Applications ,Volume 125-No.7, 2015
- ,"Fixed Point Theorems For Condensing Mappings Satisfying Leray-Schauder Type Conditions", Commun. Korean Math. Soc. ,31 (2016), No. 1, Pp. 139-145
- ," On The Dimension of Vertex Labeling of K-Uniform Dcsl of K-Uniform Caterpillar",CarpathianMath. Publ. ,2016, 8 (1), 134–149
- ,"Learning graphs and 1-uniform dcsl graphs", Discrete Mathematics, Algorithms and Applications , Vol. 9, No. 4 (2017) 1750046,
- ,"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.
- ,"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
- ,"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
- ," FG- Coupled Fixed Point Theorems In Cone Metric Spaces
",Carpathian Mathematical Publications , 2017, 9 (2), 163–170 26.
- ,"Some Classes Of Dispersible Dcsl-Graphs, Carpathian
",Carpathian Math. Publ. ,2017, 9 (2), 128–133
- ,"Coupled fixed point theorems in Partially ordered sets
",Journal Nonlinear Analysis and Application, 2018 No.2 (2018) 76-82
- ,"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)
- ," 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
- ," Coupled Coincidence Point Theorems of Mappings in Partially Ordered Metric Space ",Journal of Nonlinear Analysis and Optimization,Vol. 11(1) (2020), 29-40
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
Miscellaneous
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Contribution to corporate sector-management of the department and institution through participation in academic and administration,committees and responsibilities.
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