In this paper, we consider a family of nearly integrable mappings on annulus, which has self-intersection property and depends small parameter. Without any twist condition, prove that for many sufficiently parameters the admit an invariant closed curve. Our result is useful Lagrange stability Duffing equations.

In this paper, some fixed point theorems for nonexpansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support our results.

in the present paper‎, ‎we show the existence of a coupled fixed point for a non-decreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function $phi$‎. ‎we also define the concept of weakly related mappings on an ordered space‎. ‎moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space‎.

We consider rotating black hole configurations of self-gravitating maps from spacetime into arbitrary Riemannian manifolds. We first establish the integrability conditions for the Killing fields generating the stationary and the axisymmetric isometry (circularity theorem). Restricting ourselves to mappings with harmonic action, we subsequently prove that the only stationary and axisymmetric, as...

TThe work of non-Newtonian calculus was begun in 1972. This provides a different area to the classical one. Non-Newtonian metric concept defined 2002 by Basar and Cakmak. Then Binbaşıoğlu et al. had given spaces 2016. Also, they started fixed-point theory defining some topological properties spaces. In this work, we give theorems results for self-mappings satisfying certain conditions

In this paper, we first introduce a family S = {Sn : C → C} of non-Lipschitzian mappings, called total asymptotically nonexpansive (briefly, TAN) on a nonempty closed convex subset C of a real Banach space X, and next give necessary and sufficient conditions for strong convergence of the sequence {xn} defined recursively by the algorithm xn+1 = Snxn, n ≥ 1, starting from an initial guess x1 ∈ C...