Serdica Mathematical Journal

Volume 47, Number 1, 2021




C O N T E N T S

· Argyros, I. K., S. George. Multi-step high convergence order methods for solving equations (pp. 1−12)
· Rao, N. S., K. Kalyani. On some unique fixed point theorems with rational expressions in partially ordered metric spaces (pp. 13−30)
· Szabó, S., B. Zavalnij. Clique number estimate based on coloring of the nodes (pp. 31−44)
· Singh, G., G. Singh. Some properties of the generalized subclasses of Janowski type alpha-quasi-convex functions (pp. 45−60)
· Baishya, K. K., A. Biswas, A. M. Blaga. η-Ricci solitons on (LCS)n-manifolds admitting different semi-symmetric structures (pp. 61−80)
· Andreolas, G., M. Anoussis, C. Magiatis. Topological radicals of semicrossed products (pp. 81−92)

A B S T R A C T S


MULTI-STEP HIGH CONVERGENCE ORDER METHODS FOR SOLVING EQUATIONS
Ioannis K. Argyros iargyros@cameron.edu
Santhosh George sgeorge@nitk.edu.in

2020 Mathematics Subject Classification: 65H10, 47H17, 49M15, 65D10, 65G99.
Key words: multi step method, local convergence, Fréchet derivative, system of equations, Banach space.


ON SOME UNIQUE FIXED POINT THEOREMS WITH RATIONAL EXPRESSIONS IN PARTIALLY ORDERED METRIC SPACES
N. Seshagiri Rao seshu.namana@gmail.com
K. Kalyani kalyani.namana@gmail.com

2020 Mathematics Subject Classification: Primary: 54H25, Secondary: 47H10.
Key words: Partially ordered metric spaces, generalized rational contractions, fixed point.


CLIQUE NUMBER ESTIMATE BASED ON COLORING OF THE NODES
Sándor Szabó sszabo7@hotmail.com
Bogdán Zavalnij bogdan@renyi.hu

2020 Mathematics Subject Classification: Primary 05C15; Secondary 05B45, 52C22.
Key words: Clique number, chromatic number, maximum clique, greedy coloring, clique number estimates.


SOME PROPERTIES OF THE GENERALIZED SUBCLASSES OF JANOWSKI TYPE ALPHA-QUASI-CONVEX FUNCTIONS
Gagandeep Singh kamboj.gagandeep@yahoo.in
Gurcharanjit Singh dhillongs82@yahoo.com

2020 Mathematics Subject Classification: 30C45, 30C50.
Key words: Univalent functions, analytic functions, subordination, starlike functions, convex functions, quasi-convex functions, alpha-quasi-convex functions.


η-RICCI SOLITONS ON (LCS)n-MANIFOLDS ADMITTING DIFFERENT SEMI-SYMMETRIC STRUCTURES
Kanak Kanti Baishya kanakkanti.kc@gmail.com
Ashis Biswas biswasashis9065@gmail.com
Adara M. Blaga adarablaga@yahoo.com

2020 Mathematics Subject Classification: 53C15, 53C25.
Key words: η-Ricci soliton, (LCS)n-manifold, semi-symmetric structure, η-Einstein manifold.


TOPOLOGICAL RADICALS OF SEMICROSSED PRODUCTS
Gavriil Andreolas gandreolas@aegean.gr
Michalis Anoussis mano@aegean.gr
Charalampos Magiatis chmagiatis@aegean.gr

2020 Mathematics Subject Classification: Primary 47L65; Secondary 16Nxx.
Key words: Semicrossed products, non-selfadjoint operator algebras, topological radicals, hypocompact radical, scattered radical, dynamical system.


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