• East Asian mathematical journal
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• 제35권1호
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• pp.31-40
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• 2019

We introduce a family of polynomial invariants by using intersection index defined from a Gauss diagram of a long virtual knot, and we give some properties for long virtual knots. We extend these polynomials so that we give two-variable polynomial invariants and some example.

• East Asian mathematical journal
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• 제35권1호
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• pp.51-58
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• 2019

For a nondegenerate irreducible projective variety, it is a classical problem to describe its defining equations. In this paper we precisely determine the defining equations of some rational curves of maximal regularity in ${\mathbb{P}}^4$ according to their rational parameterizations.

• East Asian mathematical journal
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• 제35권1호
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• pp.77-83
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• 2019

$L^1$-weight functions are investigated to give necessary conditions on the existence of nontrivial solutions for various types of scalar equations and systems of one-dimensional Minkowski-curvature problems.

• East Asian mathematical journal
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• 제37권1호
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• pp.123-130
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• 2021

In this paper, we introduce the new concept of a cone metric-like space and consider some fixed point theorems for generalized contractive mappings under suitable conditions in cone metric-like spaces. Our results generalize and unify the several main results of [1, 2, 9].

• East Asian mathematical journal
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• 제25권1호
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• pp.39-44
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• 2009

The aim of the present investigation is to give some criterion for certain multivalently analytic functions and (or) multivalently meromorphic functions in the corresponding domains.

• East Asian mathematical journal
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• 제25권1호
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• pp.89-96
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• 2009

In this paper, we present a unique common xed point theorem under weak compatible mappings of type(A), which extends and generalizes a result of Achari [1].

• East Asian mathematical journal
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• 제25권1호
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• pp.1-10
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• 2009

In this paper, we prove some common fixed point theorems of compatible mappings under the generalized contractive type in metric spaces and also give some examples to illustrate our main theorems. This results extend the results of several authors.

• East Asian mathematical journal
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• 제25권1호
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• pp.27-37
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• 2009

In this paper, we introduce an iterative method for a pair of nonexpansive mappings. Strong convergence theorems are established in a real uniformly smooth Banach space.

• East Asian mathematical journal
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• 제39권1호
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• pp.1-10
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• 2023

In this paper, we introduce two kinds of implicit conditions and establish some fixed point theorems in cone S-metric spaces, which generalize the several existing results.

• East Asian mathematical journal
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• 제39권3호
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• pp.299-303
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• 2023

The aim of this note is to provide three derivations of the well-known Gregory-Leibniz series for π via a hypergeometric series approach.