Fixed Point Theorem in Fuzzy Metric Spaces

Alam, Mahbub

doi:10.9790/5728-1302015559

Cited by 1 publication

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“…Later many authors [1] [5] [8] [16] have studied the aspects of fixed point theory in the setting of 2-metric paces in the last 50 years. They have been motivated by various concepts already known for metric spaces and have thus introduced analogous of various concepts in the framework of the 2-metric spaces, Murthy-Chang Cho-Sharma [7] introduced the concept of compatible pairs of self-mappings of type (A) in a 2-metric space and proved several common fixed points theorems.…”

Section: Indroductionmentioning

confidence: 99%

Fixed Point Theorems for Compatible Mappings of Type (R) in 2-Metric Spaces

Singh

Indubala

Leenthoi

2015

ATMath

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Keywords: Compatible 2-metric spaces, common fixed points, compatible mappings, compatible mappings of type (A), compatible mappings of type (P), compatible mappings of type (R).ABSTRACT. The aim of this paper is to introduce the concept of compatible mappings of type (R) in 2-metric spaces and to prove a coincidence point theorem and a fixed point theorem for compatible mappings of type (R) in 2-matric spaces. IndroductionRohen Singh, M.R & Shambhu introduced the concept of compatible mappings of type (C) by combinging the definition of compatible mappings and compatible mapping of type (P) and later on it is renamed as compatible mappings of type (R) [9]. Later it is extensively developed by Rohen and many others. In the last decade a number of authors Compatible Mappings of type (R)Here the concept of compatible mappings of type (R) is introduced in 2-metric spaces and shown that these mappings are equivalent to compatible mappings and compatible mappings of type (A) under some conditions . Now, we shall state some definitions .

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Section: Indroductionmentioning

confidence: 99%