فهرست مطالب madjid eshaghi
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International Journal Of Nonlinear Analysis And Applications, Volume:14 Issue: 2, Feb 2023, PP 151 -157In this paper, we are interested in obtaining fixed point theorem for mappings in S-metric space by wearing the completeness of S-metric space using relations. As consequences, an application to existence and uniqueness of solution of integral equation is given.Keywords: relation, Fixed point, S-metric spaces}
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In this paper, we prove some coupled fixed point theorems for nonlinear contraction type mappings in complete complex valued metric spaces endowed with partial order. We support our results by establishing an illustrative example. Also we give an application of this results to the solution of the Urysohn type integral equations.
Keywords: complex valued metric spaces, coupled fixed point, partially ordered set, Urysohn integral equations} -
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 2, Summer-Autumn 2021, PP 1371 -1382
Relation between China and the US is one of the most complex relations among the major powers in the world. The aim of this paper is to model China and the US economic relations. We used the new system named Dynamic system of strategic games for this purpose.
Keywords: International relations, game theory, dynamic system of strategic games, Nashequilibrium} -
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 2, Summer-Autumn 2021, PP 2619 -2657
In this article, first we introduce six types of power graphs related to a graph (or directed graph), with the help of set theory. Then we show that these newly defined power graphs are pairwise distinct by a few examples. Finally, we discuss the relation between Eulerian being the base graph and these six power graph types. Moreover, we express the relation between pairwise Eulerian of these power graphs.
Keywords: directed Euler tour, directed Euler path, cycle, directed graph, connected directedgraph, directed power graph, Eulerian power graph} -
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021, PP 719 -731
The increase in exploitation from aquifers in an unbalanced way to meet the growing demands of agriculture has led to a decrease in the groundwater levels and as a result, an increase in the cumulative groundwater-reservoir deficit. In the long run, this will also reduce profits from agriculture due to declining water table levels and rising water extraction costs. In this article, is proposed the application of a socialist cooperative game for propensity to cooperate and improve agriculture's cumulative net benefit and stimulate the balanced use of groundwater. The purpose of this approach is to prevent groundwater level drawdown and compensate for part of the groundwater-reservoir deficit in the Dezful-Andimeshk plain, southwest of Iran. In this study, the consumer behavior, as one of the main factors in groundwater resources management has been investigated. This method has been derived from the socialist cooperative game theory, taking the consumer as an effective factor on water table drawdown, and envisioned in the form of an eco-socialism model. Results revealed that maximum water table drawdown will be reduced by 21%, and as a result, 16 million cubic meters (MCM) of groundwater reservoir deficit will be compensated and the net benefit from agricultural activities will also increase by 26%.
Keywords: Water table drawdown, Groundwater reservoir deficit, Water resources management, Socialist cooperative game, game theory} -
In this paper, two games that play a role in creating a cancer tumor and suppression are studied using evolutionary game theory and its different modes are analyzed. The first game is the competition between a cancer cell and a healthy cell to receive food through the blood. In the second game, the interaction between the two oncogenes Ras and Myc is examined for cellular deformationKeywords: cancer, Genetics, gene, Evolutionary, game theory}
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The fuzzy integrals are a kind of fuzzy measures acting on fuzzy sets. They can be viewed as an average membershipvalue of fuzzy sets. The value of the fuzzy integral in a decision making environment where uncertainty is presenthas been well established. Most of the integral inequalities studied in the fuzzy integration context normally considerconditions such as monotonicity or comonotonicity. In this paper, we are trying to extend the fuzzy integrals to theconcept of concavity. It is shown that the Hermite-Hadamard integral inequality for concave functions is not satisfied inthe case of fuzzy integrals. We propose upper and lower bounds on the fuzzy integral of concave functions. We presenta geometric interpretation and some examples in the framework of the Lebesgue measure to illustrate the results.Keywords: Sugeno fuzzy integral, Hermite-Hadamard inequality, Concave function, Supergradient}
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ýWe use of two notions functionally convex (brieflyý, ýF--convex) and functionally closed (brieflyý, ýF--closed) in functional analysis and obtain more resultsý. ýWe show that if $lbrace A_{alpha} rbrace _{alpha in I}$ is a family $F$--convex subsets with non empty intersection of a Banach space $X$ý, ýthen $bigcup_{alphain I}A_{alpha}$ is F--convexý.
ýMoreoverý, ýwe introduce new definition of notion F--convexiyý.Keywords: convex set, ýF, convex set, F, closed set} -
International Journal Of Nonlinear Analysis And Applications, Volume:7 Issue: 1, Summer - Autumn 2016, PP 289 -294Let $X$ be a real normed space, then $C(\subseteq X)$ is functionally convex (briefly, $F$-convex), if $T(C)\subseteq \Bbb R $ is convex for all bounded linear transformations $T\in B(X,R)$; and $K(\subseteq X)$ is functionally closed (briefly, $F$-closed), if $T(K)\subseteq \Bbb R $ is closed for all bounded linear transformations $T\in B(X,R)$. We improve the Krein-Milman theorem on finite dimensional spaces. We partially prove the Chebyshev 60 years old open problem. Finally, we introduce the notion of functionally convex functions. The function $f$ on $X$ is functionally convex (briefly, $F$-convex) if epi $f$ is a $F$-convex subset of $X\times \mathbb{R}$. We show that every function $f: (a,b)\longrightarrow \mathbb{R}$ which has no vertical asymptote is $F$-convex.Keywords: ýConvex set, Chebyshev set, Krein, Milman theorem}
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Using the notion of eta-convex functions as generalization of convex functions, we estimate the difference between the middle and right terms in Hermite-Hadamard-Fejer inequality for differentiable mappings. Also as an application we give an error estimate for midpoint formula.Keywords: eta, convex function, Hermite, Hadamard, Fejer inequality}
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