• Kyungpook Mathematical Journal
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• 제60권2호
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• pp.289-295
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• 2020

Minkowski's inequality is one of the most famous inequalities in mathematics, and has many applications. In this paper, we give Minkowski's inequality for generalized variational integrals that are based on a supermultiplicative function. Our results include previous results about fractional integral inequalities of Minkowski's type.

• Korean Journal of Mathematics
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• 제28권2호
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• pp.169-189
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• 2020

A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial S-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.

• Kyungpook Mathematical Journal
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• 제54권1호
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• pp.113-122
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• 2014

In this paper, we introduce S-metric spaces and give their some properties. Also we present a common fixed point theorem for multivalued maps on complete S-metric spaces. The single valued case and an illustrative example are given.

• East Asian mathematical journal
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• 제27권3호
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• pp.273-288
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• 2011

In this paper, we prove some common fixed point theorem for two nonlinear mappings in complete $\mathcal{M}$-fuzzy metric spaces. Our main results improved versions of several fixed point theorems in complete fuzz metric spaces.

• 대한수학회논문집
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• 제27권2호
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• pp.399-410
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• 2012

We prove common fixed point theorems for weakly compatible mappings satisfying strict contractive conditions in fuzzy metric spaces using property (E.A). Our theorems extend a theorem of [1].

• 대한수학회논문집
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• 제27권2호
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• pp.347-356
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• 2012

In this paper, we present a common fixed point theorem for multivalued maps on $M$-complete fuzzy metric spaces. Also, the single valued case and an illustrative example are given.

• 대한수학회논문집
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• 제24권4호
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• pp.581-594
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• 2009

In this paper, we establish a common fixed point theorem in complete fuzzy metric spaces which generalizes some results in [9].

• East Asian mathematical journal
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• 제25권2호
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• pp.197-213
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• 2009

In this paper, we give some new denitions of $\cal{L}^*_\cal{M}$-fuzzy metric spaces and we prove a common xed point theorem for two mappings in complete $\cal{L}^*_\cal{M}$-fuzzy metric spaces. We get some improved versions of several xed point theorems in complete $\cal{L}^*_\cal{M}$-fuzzy metric spaces.

• East Asian mathematical journal
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• 제25권1호
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• pp.107-117
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• 2009

In this paper, we give some new definitions of D-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly compatible mappings in complete D-metric spaces. We get some improved versions of several fixed point theorems in complete D-metric spaces.

• Coupled systems mechanics
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• 제9권4호
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• pp.359-379
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• 2020

Due to susceptibility of bridges in the past earthquakes, vulnerability assessment and strengthening of bridges has gained a particular significance. The objective of the present study is to employ an analytical method for the development of fragility curves, as well as to investigate the effect of strengthening on the RC box-girder bridges. Since fragility curves are used for pre-and post-earthquake planning, this paper has attempted to adopt the most reliable modeling assumptions in order to increase the reliability. Furthermore, to acknowledge the interaction of soil, abutment and pile, the effect of different strengthening methods, such as using steel jacketing and FRP layers, the effect of increase in the bridge pier diameter, and the effect of vertical component of earthquake on the vulnerability of bridges in this study, a three-span RC box-girder bridge was modeled in 9 different cases. Nonlinear dynamic analyses were carried out on the studied bridges subjected to 100 ground motion records via OpenSEES platform. Therefore, the fragility curves were plotted and compared in the four damage states. The results revealed that once the interaction of soil and abutment and the vertical component of the earthquake are accounted for in the calculations, the median fragility is reduced, implying that the bridge becomes more vulnerable. It was also confirmed that steel jackets and FRP layers are suitable methods for pier strengthening which reduces the vulnerability of the bridge.