In this work, we revisit the notion of γ -contractions on fuzzy metric spaces and prove some fixed point results by improving the definition of γ -contractions. The obtained results extend and generalize the fixed point results for γ -contractions and several other results in fuzzy metric spaces. Some examples are provided to justify our claims and illustrate the results. As a consequence, we derive fuzzy and local versions of fixed point results of Banach [2] and Reich [32], and utilize them in solving the existence problem arising in fractional-order Chua’s circuits.
In this paper, we have generalized Bor's Theorem [1] for absolute summability method.
This study presents the heat transfer analysis of magnetohydrodynamic trihybrid nanofluid flow over a stretching Riga surface configuration and the Cattaneo–Christov non-Fourier heat flux model. The electrically conducting Al_2O_3 –Cu– TiO_2 /water trihybrid nanofluid flows over a convectively heated stretching Riga plate, where a wall-parallel Lorentz force alters the boundary layer structure. Finite-speed thermal propagation is captured through the inclusion of thermal relaxation effects. By employing similarity transformations, the governing equations are reduced to a coupled system of nonlinear ordinary differential equations and solved numerically using MATLAB’s bvp4c solver. The effects of the electromagnetic force, magnetic interaction, nanoparticle volume fractions and thermal relaxation parameters on velocity and temperature distributions are analyzed. The results provide new insights into efficient thermal management using trihybrid nanofluids over advanced electromagnetic surfaces.
In our previous work, we introduced the Apostol-type Bernoulli, Euler, and Genocchi-Fibonacci matrix polynomials and studied their basic properties. In this paper, we show that these polynomials are special cases of a more general class: the Apostol-type Appell-Fibonacci matrix polynomials. We investigate some new properties of this general class, which naturally extend our earlier results. Moreover, we derive a generating function for the Apostol-type Appell-Fibonacci matrix polynomials.
