Fixed Point Theorem For Four Weakly Compatible Mappings in Non Archimedean Menger PM-Spaces
نویسنده
چکیده
In the present paper we prove a unique common fixed point theorem for four weakly compatible self maps in non Archimedean Menger Probabilistic Metric spaces without using the notion of continuity. Our result generalizes and extends the results of Amit Singh, R.C. Dimri and Sandeep Bhatt [A common fixed point theorem for weakly compatible mappings in non-Archimedean Menger PM-space, MATEMATIQKI VESNIK 63, 4 (2011), 285-294] and Khan and Sumitra [A common fixed point theorem in non-Archimedean Menger PM-space, Novi Sad J. Math. 39 (1) (2009), 81-87] and others.
منابع مشابه
Common fixed point theorems for occasionally weakly compatible mappings in Menger spaces and applications
In 2008, Al-Thaga and Shahzad [Generalized I-nonexpansive self-maps and invariant approximations, Acta Math. Sinica 24(5) (2008), 867{876]introduced the notion of occasionally weakly compatible mappings (shortly owcmaps) which is more general than all the commutativity concepts. In the presentpaper, we prove common xed point theorems for families of owc maps in Mengerspaces. As applications to ...
متن کاملCommon Fixed Point Theorems in Non-Archimedean Menger PM-Spaces
M. Alamgir Khan Department of Mathematics, Eritrea Institute of Technology Asmara, Eritrea (N. E. Africa) [email protected] Abstract. The aim of this paper is to prove a related common fixed point theorem for four mappings in two complete non-Archimedean Menger PM-spaces which extends and generalizes the result of Fisher [1, 2] , Jain et al. [4] , Nesic [5] and Popa [6]. Mathematics Subject Cl...
متن کاملA COMMON FIXED POINT THEOREM FOR SIX WEAKLY COMPATIBLE MAPPINGS IN M-FUZZY METRIC SPACES
In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete M-fuzzy metric spaces.
متن کاملA common fixed point theorem for weakly compatible maps satisfying common property (E:A:) and implicit relation in intuitionistic fuzzy metric spaces
In this paper, employing the common property ($E.A$), we prove a common fixed theorem for weakly compatible mappings via an implicit relation in Intuitionistic fuzzy metric space. Our results generalize the results of S. Kumar [S. Kumar, {it Common fixed point theorems in Intuitionistic fuzzy metric spaces using property (E.A)}, J. Indian Math. Soc., 76 (1-4) (2009), 94--103] and C. Alaca et al...
متن کاملFixed Point Theorems Using Reciprocal Continuity in 2 Non Archimedean Menger PM-Spaces
The intent of this paper is to establish a common fixed point theorem by using a new continuity condition in 2 Non-Archimedean Menger PM-space.This gives an alternative answer of the problem of Rhoades [6].Our result extends, generalizes and unifies several fixed point theorems on metric spaces, Menger probablistic-metric spaces and fuzzy metric spaces. Mathematics Subject Classification: 47H10...
متن کامل