• East Asian mathematical journal
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• 제32권5호
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• pp.701-716
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• 2016

We establish a tripled coincidence and common tripled fixed point theorem for hybrid pair of mappings satisfying new contractive condition. To find tripled coincidence points, we do not use the continuity of any mapping involved therein. An example is also given to validate our result. We improve, extend and generalize several known results.

• 호남수학학술지
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• 제35권2호
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• pp.109-117
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• 2013

In the present paper, we utilize the notion of converse commuting mappings due to L$\ddot{u}$ [On common fixed points for converse commuting self-maps on a metric spaces, Acta. Anal. Funct. Appl. 4(3) (2002), 226-228] and prove a common fixed point theorem in Menger space using an implicit relation. We also give an illustrative example to support our main result.

• 대한수학회논문집
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• 제22권3호
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• pp.429-440
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• 2007

In this paper, a common fixed point theorem for weak compatible maps in complete fuzzy metric spaces is proved.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제12권4호
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• pp.289-306
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• 2005

The aim of this paper is to prove some common fixed point theorems for six discontinuous mappings in non complete fussy metric spaces with condition of weak compatibility.

• 대한수학회논문집
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• 제24권1호
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• pp.41-55
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• 2009

A general common fixed point theorem for two pairs of weakly compatible mappings using an implicit function is proved without any continuity requirement which generalizes the result due to Popa [20, Theorem 3]. In process, several previously known results due to Fisher, Kannan, Jeong and Rhoades, Imdad and Ali, Imdad and Khan, Khan, Shahzad and others are derived as special cases. Some related results and illustrative examples are also discussed. As an application of our main result, we prove an existence theorem for the solution of simultaneous Hammerstein type integral equations.

• East Asian mathematical journal
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• 제26권1호
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• pp.39-47
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• 2010

Existence of common fixed points for generalized S-nonexpansive subcompatible mappings in convex metric spaces have been obtained. Invariant approximation results have also been derived by its application. These results extend and generalize various known results in the literature with the aid of more general class of noncommuting mappings.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권3호
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• pp.165-181
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• 2014

We establish a common n-tupled fixed point theorem for hybrid pair of mappings under new contractive condition. It is to be noted that to find n-tupled coincidence point, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제15권2호
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• pp.135-151
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• 2008

The purpose of this paper is to prove some common fixed point theorems for finite number of discontinuous, noncompatible mappings on non complete Menger spaces. Our results extend, improve and generalize several known results in Menger spaces. We give formulas for total number of commutativity conditions for finite number of mappings.

• 대한수학회보
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• 제52권3호
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• pp.789-807
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• 2015

We propose coincidence and common fixed point results for a quadruple of self mappings satisfying common limit range property and weakly compatibility under generalized ${\Phi}$-contractive conditions i Non-Archimedean Menger PM-spaces. As examples we exhibit different types of situations where these conditions can be used. A common fixed point theorem for four finite families of self mappings is presented as an application of the proposed results. The existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming are also presented as another application.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
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• pp.141-144
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• 2006

In this paper, using the notion of generalized metric (or D-metric) due to Dhage [3], we give new definition of M-fuzzy metric spaces and prove a common fixed point theorem for two mappings under the condition of weak compatible and R-weakly commuting mappings in complete M-fuzzy metric spaces.