Topics in Contemporary Mathematical Analysis and Applications

Dr. Hemen Dutta is a regular teaching faculty member in the Department of Mathematics at Gauhati University. He did his M.Sc, M.Phil and Ph.D. in the subject Mathematics, and also completed Post Graduate Diploma in Computer Application (PGDCA). His research areas include functional analysis, mathematical modeling, etc. He has to credit over 100 items as research papers and book chapters, and also 10 books so far. He has acted as speaker and resource person at national and international levels events as well as organized and associated with several academic events. He has performed the duty of reviewer for journals and databases. He has published several articles in newspaper, popular books, magazines and science portals.

• 1. Linear Positive Operators Involving Orthogonal Polynomials. 2. Fixed Point Problems of Multivalued Mappings. 2. Fixed Point Problems of Multivalued Mapping. 3. A Characterization of Rough Fractional Type Integral Operators and Campanato Estimates for their Commutators on the Variable Exponent Vanishing Generalized Morrey Spaces. 4. On the Coefficient Estimates for New Subclasses of Bi-Univalent Functions Associated with Subordination and Fibonacci Numbers. 5. Compact-Like Operators in Vector Lattices Normed by Locally Solid Lattices. 6. Significance and Relevance of Functional Equations in Various Fields. 7. On Indexed Product Summability of an Infinite Series. 8. On Some Important Inequalities. 9. Certain *-Homomorphisms Acting on Unital C*-Probability Spaces and Semicircular Elements Induced by p-adic Number Fields Over Primes p. 10. Application of Variational-Fixed Point Iteration on Three Points Boundary Value Problems. 11. Unified Type Nondifferentiable Second-Order Symmetric Duality Results Over Arbitrary Cones.