Darbo fixed point theorem is a powerful tool which used in many fields mathematics. Because of this feature, generalizations and its relations with other subjects have been investigated. Here we introduce generalization an F - contraction type mapping define new by using both function lasses uniformly convergent sequences functions examine some properties. Afterward, show that the contraction, ...

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.

When a growing interface belonging to the KPZ universality class is tilted with average slope $m$, its velocity increases in $\frac{\Lambda}{2}\,m^2$, where $\Lambda$ related nonlinear coefficient $\lambda$ of equation. Nevertheless, necessary condition for this association hold true that mean square height-gradient $b\, m^2$ when tilted. For continuous equation $b = 1$ and relation $\Lambda=\l...

We discuss the following viscosity approximations with the weak contraction A for a nonexpansive mapping sequence {Tn}, yn αnAyn 1 − αn Tnyn, xn 1 αnAxn 1 − αn Tnxn. We prove that Browder’s and Halpern’s type convergence theorems imply Moudafi’s viscosity approximations with the weak contraction, and give the estimate of convergence rate between Halpern’s type iteration and Mouda’s viscosity ap...

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}.

‎In this paper, based on [A. Razani, V. Rako$check{c}$evi$acute{c}$ and Z. Goodarzi, Nonself mappings in modular spaces and common fixed point theorems, Cent. Eur. J. Math. 2 (2010) 357-366.] a fixed point theorem for non-self contraction mapping $T$ in the modular space $X_rho$ is presented. Moreover, we study a new version of Krasnoseleskii's fixed point theorem for $S+T$, where $T$ is a cont...

by the method of weight coefficients, techniques of real analysis andhermite-hadamard's inequality, a half-discrete hardy-hilbert-type inequalityrelated to the kernel of the hyperbolic cosecant function with the best possibleconstant factor expressed in terms of the extended riemann-zeta function is proved.the more accurate equivalent forms, the operator expressions with the norm,the reverses a...

for a composition $lambda$ of $n$ our aim is to obtain reduced forms ‎for all the elements in the kazhdan-lusztig (right) cell containing ‎$w_{j(lambda)}$‎, ‎the longest element of the standard parabolic‎ ‎subgroup of $s_n$ corresponding to $lambda$‎. ‎we investigate how far this is possible to achieve by looking at‎ ‎elements of the form $w_{j(lambda)}d$‎, ‎where $d$ is a prefix of ‎an element...

Chi sites have previously been shown to stimulate homologous recombination by the Escherichia coli RecBC pathway. To test the activity of Chi in another organism, bacteriophage lambda crosses were carried out in Salmonella typhimurium strains bearing the E. coli lambda receptor protein. Chi is active in these crosses in S. typhimurium, but is less active than in the same crosses carried out in ...

Abstract A Pfaffian-type Murnaghan–Nakayama rule is derived for the Hecke–Clifford algebra $\mathcal{H}^{c}_{n}$ based on Frobenius formula and vertex operators, this leads to a combinatorial version via tableaux realization of Schur’s $Q$-functions. As consequence, general irreducible characters $\zeta ^{\lambda }_{\mu }(q)$ using partition-valued functions derived. Meanwhile, an iterative ind...