Fixed Point Methods and Optimization

Electronic ISSN: 3008-1548

DOI: 10.69829/fpmo

Existence and uniqueness of fixed point of some expansive-type mappings in generalized modular metric spaces

Fixed Point Methods and Optimization, Volume 2, Issue 1, April 2025, Pages 1–20

GODWIN AMECHI OKEKE

Functional Analysis and Optimization Research Group Laboratory, Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria

DANIEL FRANCIS

Functional Analysis and Optimization Research Group Laboratory, Department of Mathematics, School of Physical Sciences, Federal University of Technology, Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria

HALLOWED OLAOLUWA

Department of Mathematics, Faculty of Science, University of Lagos, Akoka, Lagos, Nigeria

DENNIS FERDINAND AGBEBAKU

Department of Mathematics, Faculty of Physical Sciences, University of Nigeria, Nsukka, Enugu State, Nigeria


Abstract

This work introduces a projective double inertial Ishikawa forward-backward splitting algorithm for solving variational inclusion problems in Hilbert spaces. We establish a weak convergence theorem under suitable control conditions, ensuring the reliability of the proposed approach. Numerical experiments, including an example in an infinite-dimensional space, demonstrate the algorithm's efficiency and validate the theoretical results. Furthermore, our study shows the effectiveness of applying the proposed algorithm to osteoporosis prediction using a multi-layer ELM, with the 2-layer ELM configuration achieving the highest performance across all metrics (accuracy, precision, recall, and F1-score), underscoring its robustness and efficiency.


Cite this Article as

Godwin Amechi Okeke, Daniel Francis, Hallowed Olaoluwa, and Dennis Ferdinand Agbebaku, Existence and uniqueness of fixed point of some expansive-type mappings in generalized modular metric spaces, Fixed Point Methods and Optimization, 2(1), 1–20, 2025