Publications

Articles

  • On Generalized Local Fractal Calculus Associate with Gauge Integral and Applications, Hemanta Kalita, Alireza K. Golmankhanehand, Bipan Hazarika, (accepted), Thermal Science, 2024.
  • On convergence of McShane type integral and Radon measure, Hemanta Kalita, Hemen Bharali, Puja Dey Sarkar, (accepted), Filomat, 2024.
  • Another version Discrete Orlicz–Morrey Spaces, Al Azhary Masta, Hemanta Kalita, Muh Nu, (accepted), Filomat, 2024.
  • Sobolev spaces on canonical Banach spaces and Fourier, Hemanta Kalita, (accepted), Bol. Soc. Paran. Mat., 2024.
  • Existence of common fixed points of generalized set-contractions on a b-metric space with a directed graph, T. Nazir, S. P. Moshokoa, H. Kalita, Math. Notes, 116:4 (2024), 697–710.
  • A new optimal eight-order iterative technique for solving simple roots of nonlinear equations, K. Devi, P. Maroju, H. Kalita, Journal of Applied and Numerical Analysis, 2, 30–40, 2024.
  • Strum-Liouville differential equations with Kurzweil-Henstock integrable functions as coefficient, Salvador Sanchez-Perales, Israel A. Cordero Martinez, Hemanta Kalita, Tomas Perez Becerra, Journal of Nonlinear and Convex Analysis, 36(11), 2024, 1-19.
  • New Extension of Darbo’s Fixed Point Theorem and Its Application to a System of Weighted Fractional-Type Integral Equations, Marija Paunovic, Ana Savic, Hemanta Kalita, Sudip Deb, and Vahid Parvaneh, Mathematics 2024, 12, 2133.
  • On statistical convergence of topological Henstock-Kurzweil integral, Hemanta Kalita, Sumit Som, Bipan Hazarika, CARPATHIAN J. MATH, (accepted), 2024.
  • Fixed points of fuzzy multivalued F-contractive mappings with a directed graph in parametric metric spaces, Rafique Muhammad, Talat Nazir, Hemanta Kalita, Probl. Anal. Issues Anal., 2024.
  • Some characterization of Lr-Henstock-Kurzweil integrable functions, Hemanta Kalita, Bol. Soc. Paran. Mat., 42, (2024), 1-6.
  • Separable ranges of Henstock-Kurzweil-Pettis integral, Hemanta Kalita, Bol. Soc. Paran. Mat. (accepted), 2024.
  • An application of ϕ-metric and related best proximity point results generalizing Wardowski’s fixed point theorem, Abhishikta Das, S. Som, Hemanta Kalita, and T. Bag, Tatra Mountains Mathematical Publications, 2024.
  • A representation theorem of a Riemann-Lebesgue integrable function in associate with a vector measure, Hemanta Kalita, Ravi P. Agarwal, Ekrem Savas, Transactions of A. Razmadze Mathematical Institute, (accepted), 2024.
  • Vector-valued McShane and strong McShane integrals with the Alexiewicz norm and its Riesz Representation Theorems, Tomas Perez Becerra, Hemanta Kalita, Juan Alberto Escamilla Reyna, Bollettino dell'Unione Matematica Italiana, 2024.
  • Lr-Henstock-Kurzweil integrals on finite dimensional Banach spaces, Hemanta Kalita, Tomas Perez Becerra, and Hemen Bharali, Southeast Asian Bulletin of Mathematics, 48, (2024), 247-258.
  • HK-Sobolev spaces W Sk,p and Bessel Potential, Bipan Hazarika, Hemanta Kalita, Filomat, 36(13), 2024.
  • A McShane type integral on complete metric measure space, Hemanta Kalita, Hemen Bharli, Sanyoy Kalita, Filomat, 36(15), 2024.
  • Kluvánek–Lewis–Henstock integral in Banach spaces, Hemanta Kalita, Bipan Hazarika, Bollettino dell'Unione Matematica Italiana, 2023.
  • The weak drop property and the de la Vallée Poussin Theorem, H. Kalita, Probl. Anal. Issues Anal., 2023, Issue 3, 105-118.
  • Extensibility of Banach valued Riemann type integrals on time scales, Vikuozonuo Sekhose, Hemen Bharali, Hemanta Kalita, Journal of Nonlinear and Convex Analysis, 24(9), 2023, 2037-2057.
  • The ap-McShane integral of vector valued functions and ap-PoU integrals, Hemanta Kalita, Ravi P. Agarwal, Maphisha, Journal of Nonlinear and Convex Analysis, 24(9), 2023, 1939-1954.
  • On convergence of ap-Henstock-Kurzweil integrable functions, Hemanta Kalita, Ravi P. Agarwal, Bipan Hazarika, Crez. Math. Soc., (2023).
  • On AP-Henstock–Kurzweil Integrals and Non-Atomic Radon Measure, Hemanta Kalita, Bipan Hazarika, Tomas Perez Becerra, Mathematics, 11, (2023), 1-17.
  • Modular convergence in H-Orlicz spaces of Banach valued functions, Hemanta Kalita, Bipan Hazarika, Rendi. del Cir. Mate. di Palermo, 2023.
  • Sobolev spaces over R∞, Hemanta Kalita, Facta. Univer. (NIS) Ser. Math. Inform., 37(4), 2022.
  • A convergence theorem for ap−Henstock-Kurzweil integral and its relation to topology, Hemanta Kalita, Bipan Hazarika, FILOMAT, 36(20), 2022.
  • BMO spaces for non absolute integrable functions, Hemanta Kalita, Bipan Hazarika, FILOMAT, 36(20), 2022.
  • Kuelbs-Steadman spaces with bounded variable exponents, Hemanta Kalita, FILOMAT, 36(13), 2022.
  • Kuelbs-Steadman spaces on Separable Banach spaces, Hemanta Kalita, Bipan Hazarika, and Timothy Myre, Facta Univer. (NI) Ser. Math. Inform. Vol. 36, No 5 (2021), 1065-1077.
  • Canonical Orlicz classes, Hemanta Kalita, Bipan Hazarika, Asian Euro. J. Math., https://doi.org/10.1142/S1793557122501868 (2022).
  • A family of Banach spaces over R∞, Tepper L. Gill, Hemanta Kalita, Bipan Hazarika, Proc. Singapore National Academy of Science, 14(2), (2020), 1–7.
  • On Geometrical properties of Henstock-Orlicz spaces, Hemanta Kalita, Salvador S. Perales, and Bipan Hazarika, Transactions of a Razmadze Mathematical Institute, 177, (2023), 1-10.
  • Countable additivity of Henstock-Dunford integrable functions and Orlicz spaces, Hemanta Kalita, Bipan Hazarika, Analysis and Mathematical Physics, 11(2), 1-13, (SCIE), I.F 2.06.
  • Henstock-Orlicz spaces and its dense spaces, Bipan Hazarika and Hemanta Kalita, Asian Euro. J. Math., 14 (7) (2021), 1-17 (SCOPUS).
  • Kuelbs-Steadman spaces for Banach space-valued measures, Antonio Boccuto, Bipan Hazarika, and Hemanta Kalita, Mathematics, 8(6), (2020), 1-15 (SCIE), I.F 1.88.

Conference Papers

  • Bipan Hazarika and Hemanta Kalita- he Jones Spaces over 𝑅n , Fourth International Conference of Mathematical Sciences (ICMS 2020) (SCOPUS).
  • Hemanta Kalita– On Dobrakov-Dunford and Birkhoff-Dunford Integral, The 16th International Conference MSAST 2022, December 21-23, 2022, Kolkata, India.

Books

  • Hemanta Kalita, Bipan Hazarika, Introduction to Henstock-Orlicz spaces, monograph, Springers
  • Hemanta Kalita, Mehmet Gurdal, Sanket Tikare, Talat Nazir, Summability, Fixed Point Theory and Generalized integrals with Applications, CRC, Taylor & Francis Group, (accepted), 2024
  • Toh Tin Loh, Hemanta Kalita, Anca Croitoru, Tomas Perez Becerra, Bipan Hazarika, Generalized integrals and applications, World Scientific, (accepted), 2024.
  • Hemanta Kalita, Tomas Perez Becerra, Kiran Behera, Proceedings of Nonlinear Analysis and Computational Techniques – ICNACT 2024, Bhopal, India, August 8–10