It is shown that the contraction mapping principle with involvement of a Carleman Weight Function works for Coefficient Inverse Problem 1D hyperbolic equation. Using estimate, global convergence corresponding numerical method established. Numerical studies both computationally simulated and experimentally collected data are presented. The experimental part concerned problem computing dielectric...

Berinde [V. Berinde, Approximating fixed points of weak contractions using the Picard iteration, Nonlinear Anal. Forum {bf 9} (2004), 43-53] introduced almost contraction mappings and proved Banach contraction principle for such mappings. The aim of this paper is to introduce the notion of multivalued almost $Theta$- contraction mappings andto prove some best proximity point results for t...

In this paper, we investigated the sharp estimate for condition of given interval which guarantees unique solution a Reimman-Liouville-type fractional differential equations with boundary conditions. The method analysis is obtained by principle contraction mapping through using maximum value integral Green?s function. Besides, also concluded sharper lower bound eigenvalues an eigenvalue problem...

in this paper,  we introduce the notion of  generalized multivalued  $f$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  our results extend and improve the results announced by many others with less hypothesis. also, we give some illustrative examples.

In this paper, we shall establish some fixed point theorems for mappings with the contractive  condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the notion of $A$-contraction mapping on metric space. In this paper by using the main idea of the work...

The convergence of a Presić type k-step iterative method for a new class of operators f : Xk → X satisfying a general Presić type contraction condition is proved. Our result is completing an existing list of Presić type iteration methods, see [Rus I. A., An iterative method for the solution of the equation x = f(x, . . . , x), Rev. Anal. Numer. Theor. Approx., 10(1) (1981), 95–100] and the rece...

In this paper, the notion of cyclic $varphi$-contraction in fuzzymetric spaces is introduced and a fixed point theorem for this typeof mapping is established. Meantime, an example is provided toillustrate this theorem. The main result shows that a self-mappingon a G-complete fuzzy metric space has a unique fixed point if itsatisfies the cyclic $varphi$-contraction. Afterwards, some results inco...

in this paper, the notion of $psi -$weak contraction cite{rhoades} isextended to fuzzy metric spaces. the existence of common fixed points fortwo mappings is established where one mapping is $psi -$weak contractionwith respect to another mapping on a fuzzy metric space. our resultgeneralizes a result of gregori and sapena cite{gregori}.

This paper is concerned with the local well-posedness of Oberbeck Boussinesq approximation for unsteady motion a drop in another fluid separated by closed interface surface tension. We are devoted to obtaining linearized Oberbeck-Boussinesq fixed domain using Hanzawa transformation, and maximal $ L^{p} $-$ L^{q} regularities two-phase system obtained authors [10] establish existence uniqueness ...

In this manuscript, we deal with a nonlinear Langevin fractional differential equation that involves the Caputo–Hadamard and Caputo operators, nonperiodic nonlocal integral boundary conditions. The results presented in study establish existence, uniqueness, Hyers–Ulam (HU) stability of solution to proposed equation. We achieved our main result by using Banach contraction mapping principle Kraso...