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
“…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.…”
“…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.…”
“…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].…”
In the present paper, we continue the study on fuzzy soft topological spaces and investigate the properties of fuzzy semi open (closed) soft sets, fuzzy semi soft interior (closure), fuzzy semi continuous (open) soft functions and fuzzy semi separation axioms which are important for further research on fuzzy soft topology. In particular, we study the relationship between fuzzy semi soft interior fuzzy semi soft closure. Moreover, we study the properties of fuzzy soft semi regular spaces and fuzzy soft semi normal spaces. This paper, not only can form the theoretical basis for further applications of topology on soft sets, but also lead to the development of information systems.
“…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.…”
Abstract:In this paper, we prove some fixed point theorems for integral type weakly compatible contraction in modular metric spaces which is more general than a metric. Our results generalize the results of Hossein Rahimpoor et.al., see [19].
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