2014
DOI: 10.22436/jmcs.010.01.05
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Fixed Point Theory For Generalized Quasi-contraction Maps In Modular Metric Spaces

Abstract: In this paper ,we improve the results of the existence of fixed point theory for generalized quasi contraction maps in modular metric spaces which extends the results of Y.Cho.et al,[Quasi-contraction mapping in modular metric

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Cited by 4 publications
(3 citation statements)
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“…In 2010, V. V. Chistyakov introduced the notation of modular metric spaces [2], he present some interesting applications for superposition operators by applying the theory of modular metric spaces [3]. Later, researchers have studied and extend fixed point problems in modular metric spaces, see for example ( [1], [4], [5], [10], [11], [12]). In this paper we prove some coincidence and common fixed point theorems for a contractive mapping in modular metric spaces.…”
Section: Introductionmentioning
confidence: 99%
“…In 2010, V. V. Chistyakov introduced the notation of modular metric spaces [2], he present some interesting applications for superposition operators by applying the theory of modular metric spaces [3]. Later, researchers have studied and extend fixed point problems in modular metric spaces, see for example ( [1], [4], [5], [10], [11], [12]). In this paper we prove some coincidence and common fixed point theorems for a contractive mapping in modular metric spaces.…”
Section: Introductionmentioning
confidence: 99%
“…In this section, we present the basic definitions and results of soft set theory which will be needed in the sequel. For more details see [1,4,5,8,11,12,14,21,22,23,24,26,27,30,40].…”
Section: Preliminariesmentioning
confidence: 99%
“…In 2010, V. V. Chistiyakov [12] introduced the more general concept of modular metric spaces. Later, many authors [13,14,15,16,17,18] have extended and generalized the fixed point problems in modular metric spaces.…”
Section: Introductionmentioning
confidence: 99%