Our aim is to present some common fixed point theorems in bipolar metric spaces via certain contractive conditions. Some  examples have been provided to illustrate the effectiveness of new results. At the end, we give two applications dealing with homotopy theory and integral equations.

We discuss about the generalized $F$-contraction mappings in partially ordered metric spaces. For this, we first introduce the notion of ordered weakly $F$-contraction mapping. We also present some fixed point results about this type of mapping in partially ordered metric spaces. Next, we introduce the notion of $acute{mathrm{C}}$iri$acute{mathrm{c}}$ type generalized ordered weakly $F$-contrac...

In this paper we investigate the representation of integrals involving product Legendre Chi function, polylogarithm function and log function. We will show that in many cases these take an explicit form Riemann zeta Dirichlet Eta lambda other special functions. Some examples illustrating theorems be detailed.

To elucidate the involvement of protein kinase C (PKC) isoforms in insulin-induced and phorbol ester-induced glucose transport, we expressed several PKC isoforms, conventional PKC-alpha, novel PKC-delta, and atypical PKC isoforms of PKC-lambda and PKC-zeta, and their mutants in 3T3-L1 adipocytes using an adenovirus-mediated gene transduction system. Endogenous expression and the activities of P...

Escherichia coli strains bearing plasmids expressing phage P22 anti-RecBCD functions abc1 and abc2 were tested for the presence of recBC-like phenotypes. Abc2 induces moderate sensitivity to UV light in wild-type and recD mutant strains but severely sensitizes both recF and recJ mutants. Abc1 has little effect on UV sensitivity in wild-type or recF or recJ mutant hosts but increases the sensiti...

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...

Eleven large-plot trials were located across nine counties in eastern Arkansas to evaluate the efficacy of select insecticides on the rice stink bug. Lambda-cyhalothrin, zeta-cypermethrin, methyl parathion, and carbaryl achieved initial control. However, only lambda-cyhalothrin and zeta-cypermethrin maintained significantly lower counts of the rice stink bug at 14 days after treatment (DAT). La...

In this paper, we introduce the notions of fuzzy $alpha$-Geraghty contraction type mapping and fuzzy $beta$-$varphi$-contractive mapping and establish some interesting results on the existence and uniqueness of fixed points for these two types of mappings in the setting of fuzzy metric spaces and non-Archimedean fuzzy metric spaces. The main results of our work generalize and extend some known ...

We determined whether protein kinase C (PKC) isoforms are redistributed and phosphorylated in response to acute exercise in skeletal muscle. Muscle biopsies were obtained from six healthy subjects (four women, two men; age 25 +/- 1 years) before, during, and after 60 min of one-leg cycle ergometry at approximately 70% VO(2peak). Exercise for 30 and 60 min was associated with a three- and fourfo...