In present times, there has been a substantial endeavor to generalize the classical notion of iterated function system (IFS). We introduce new type non-linear contraction namely cyclic Meir-Keeler contraction, which is generalization famous Banach contraction. show existence and uniqueness fixed point for Using this result, we propose IFS in literature construction fractals. Furthermore, extend...

Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...

In the current contribution, an appropriate quantity connected to space of all convergent sequences is provided and shown be a measure noncompactness in Banach space. Through application fixed point theorems Darbo Meir–Keeler, this amount used discuss whether solution infinite system fractional Sturm–Liouville operators exists. We offer numerical example as key finding study.

[1] Sea surface brightness anomalies caused by a municipal wastewater discharge are detected from space in areas much larger than their submerged turbulence source. The mechanism involves a complex interaction between currents, topography, tides, vertical and horizontal mixing, internal waves and stratified turbulence. Citation: Keeler, R. N., V. G. Bondur, and C. H. Gibson (2005), Optical sate...

We prove a dynamical version of the Mordell-Lang conjecture for étale endomorphisms of quasiprojective varieties. We use p-adic methods inspired by the work of Skolem, Mahler, and Lech, combined with methods from algebraic geometry. As special cases of our result we obtain a new proof of the classical Mordell-Lang conjecture for cyclic subgroups of a semiabelian variety, and we also answer posi...