In this paper, we introduce the new definitions and fixed-point theorems for \((\hat{\alpha}-\hat{\psi})\)-Geraghty contraction with an aid of simulation function \(\zeta:[0, \infty) \times[0, \rightarrow \mathbb{R}\) in generalized metric space satisfying following condition:if \(\exists \hat{\beta} \in \mathcal{F}\) such that all \(r, s \mathfrak{X}\), then have\(\zeta[\hat{\alpha}(r, s)(d(\m...

In this paper, some monotonicity and concavity results of several functions involving the psi and polygamma functions are proved, and then some known inequalities are extended and generalized.

For a fixed nonnegative integer $m$, an analytic map $\varphi$ and function $\psi$, the generalized integration operator $I^{(m)}_{\varphi,\psi}$ is defined by \[ I^{(m)}_{\varphi,\psi} f(z) = \int_0^z f^{(m)}(\varphi(\zeta)) \psi(\zeta) \, d\zeta \] for $X$-valued $f$, where $X$ Banach space. Some estimates norm of $I^{(m)}_{\varphi,\psi} \colon wA^p_{\alpha}(X) \to A^p_{\alpha}(X)$ are obtain...

In this paper, tripled coincidence points of mappings satisfying  $psi$-contractive conditions in the framework of partially ordered $G_b$-metric spaces are obtained. Our results extend the results of Aydi et al. [H. Aydi, E. Karapinar and W. Shatanawi, Tripled fixed point results in generalized metric space, J. Applied Math., Volume 2012, Article ID 314279, 10 pages]. Moreover, some examples o...

In this paper, a new stratification of mappings, which is  called $Psi$-simulation functions, is introduced  to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples ar...

A system of polynomial ordinary differential equations (ode's) is specified via a vector of multivariate polynomials, or vector field, F. A safety assertion psi->[F]phi means that the system's trajectory will lie in a subset phi (the postcondition) of the state-space, whenever the initial state belongs to a subset psi (the precondition). We consider the case when phi and psi are algebraic varie...

In this article, we investigate the $\cos2\phi_t$ azimuthal asymmetry in $e ~p\rightarrow e ~J/\psi ~Jet~ X$, where $J/\psi$-jet pair is almost back-to-back transverse plane, within framework of generalized parton model(GPM). We use non-relativistic QCD(NRQCD) to calculate $J/\psi$ production amplitude and incorporate both color singlet(CS) octet(CO) contributions asymmetry. estimate using diff...

Abstract In this paper, we obtain a new convergence theorem for fixed points of weak contractions in Branciari type generalized metric spaces under weaker conditions. The proof process the is and different from that other authors. An illustrative example to show how conditions extend known results.

In this paper, we provide the generalization of two predefined concepts under name fuzzy conformable differential equations. We solve ordinary equations strongly generalized derivative. For order $\Psi$, use methods. The first technique is to resolve a equation into systems according types derivatives. second method solves $\Psi$ by variation constant formula. Moreover, generalize our results h...

For a nonrelativistic classical particle undergoing arbitrary oscillations in external fields, the generalized effective potential Psi is derived through calculating the nonlinear eigenfrequencies of the particle-field system. Specifically, the ponderomotive potential is extended to a nonlinear oscillator, resulting in multiple branches near the primary resonance. For a pair of particle natural...