In the current manuscript, we intend to investigate existence, uniqueness, and stability of positive solution in relation a fractional version variable order thermostat model equipped with nonlocal boundary values Caputo sense. fact, will get help from constant piece-wise functions for transforming our into an auxiliary standard thermostat. By Guo-Krasnoselskii’s fixed point theorem on cones, d...

We provide fuzzy quasi-metric versions of a fixed point theorem ofGregori and Sapena for fuzzy contractive mappings in G-complete fuzzy metricspaces and apply the results to obtain fixed points for contractive mappingsin the domain of words.

In this paper, a common fixed point theorem for $psi$-weakly commuting maps in L-fuzzy metric spaces is proved.

Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x′′(t) + a(t)f(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and f may change sign and may be singular at x = 0 and x′ = 0.