arXiv subjects

Elvin Rada

Publications and source records attributed to Elvin Rada.

3 recordsLinked to original sources

arXiv2025

Convergence of a Multi-Inertial-Iteration Scheme in Cone b, p-Normed Banach Spaces

We propose and analyze a multi-inertial-iteration scheme in cone b, p-normed Banach spaces. This framework extends the classical Krasnoselskii-Mann and two-step inertial iterations by incorporating three independent inertial parameters and multiple error-control sequences. Under mild assumptions such as quasi-nonexpansiveness, weak contraction, and compatibility of mappings, we establish convergence theorems guaranteeing the existence and uniqueness of fixed points. Illustrative numerical examples demonstrate accelerated convergence compared with the classical Krasnoselskii-Mann method.

math.OC↗

arXiv2025

Fixed Point Theorems for Kannan and Chatterjea-type Mappings in Probabilistic Cone Metric Spaces

This paper establishes novel fixed point theorems for Kannan-type and Chatterjea-type mappings in probabilistic cone metric spaces. By integrating probabilistic distance functions with cone-valued structures, we generalize classical fixed point results to settings with inherent uncertainty. Our approach leverages the distributional properties of probabilistic metrics and the order structure of cones to develop contraction conditions ensuring the existence and uniqueness of fixed points. Applications include stochastic processes, random operators, and uncertainty modeling in functional equations. The results significantly extend the scope of fixed point theory in probabilistic analysis and its applications

math.FA↗

arXiv2025

Fixed Point Theorems for Multivalued Weak Contractions in Cone Metric Spaces

This article presents a deep investigation of fixed points for multivalued weak contractions in cone metric spaces. We extend Berinde weak contraction principles to the multivalued setting in cone metric spaces, developing existence, uniqueness, and convergence results. Using the structure of normal cones in Banach spaces, we prove generalized fixed-point theorems for set-valued mappings satisfying weak contractive conditions. The theoretical framework includes iterative approximation schemes with explicit convergence rates and stability analysis of fixed point sets. In the end, some applications to differential inclusions and variational inequalities demonstrate the utility of our results in nonlinear analysis.

math.FA↗