• Honam Mathematical Journal
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• v.22 no.1
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• pp.91-97
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• 2000

In this paper we obtain a criterion for the existence of a common fixed point of a pair of mappings in 2-metric spaces. Our result generalizes a number of fixed point theorems given by Imdad, Khan and Khan [1], Kahn and Fisher [2], Kubiak [3], Rhoades [5], and Singh, Tiwari and Gupta [6].

• Bulletin of the Korean Mathematical Society
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• v.45 no.4
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• pp.607-614
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• 2008

We present coincidence points and common fixed point results for (f, g)-contractive mapping and (f, g)-nonexpansive mappings. Our results generalize and complement various known results existing in the literature.

• East Asian mathematical journal
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• v.25 no.1
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• pp.1-10
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• 2009

In this paper, we prove some common fixed point theorems of compatible mappings under the generalized contractive type in metric spaces and also give some examples to illustrate our main theorems. This results extend the results of several authors.

• International Journal of Fuzzy Logic and Intelligent Systems
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• v.13 no.2
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• pp.147-153
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• 2013

Previously, Park et al. (2005) defined an intuitionistic fuzzy metric space and studied several fixed-point theories in this space. This paper provides definitions and describe the properties of type(${\beta}$) compatible mappings, and prove some common fixed points for four self-mappings that are compatible with type(${\beta}$) in an intuitionistic fuzzy metric space. This paper also presents an example of a common fixed point that satisfies the conditions of Theorem 4.1 in an intuitionistic fuzzy metric space.

• Journal of applied mathematics & informatics
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• v.30 no.5_6
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• pp.1067-1075
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• 2012

In this paper we generalize the results of Ili$\acute{c}$ and Rako$\check{c}$evi$\acute{c}$. Also, we generalize one of Berinde's results to cone metric spaces. And we introduce the notion of compatible mappings of type (BC), and we establish a common fixed point theorem for these mappings.

• Communications of the Korean Mathematical Society
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• v.24 no.2
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• pp.197-214
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• 2009

In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe [4].

• East Asian mathematical journal
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• v.14 no.2
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• pp.343-356
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• 1998

In this paper, we prove some common fixed point theorems for compatible mappings by using asymptotically regular mappings under the contractive type of G. E. Hardy and T. D. Rogers, and also give some examples to illustrate our main theorems. Our results extend the results of M. D. Guay and K. L. Singh and others.

• East Asian mathematical journal
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• v.15 no.2
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• pp.211-222
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• 1999

In this paper, we give some common fixed point theorems for compatible mappings in metric spaces, and also give an example to illustrate our main theorems. Our results extend the results of S. M. Kang, Y. J. Cho and G. Jungck [9].

• Nonlinear Functional Analysis and Applications
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• v.27 no.3
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• pp.603-620
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• 2022

Several common fixed point theorems for a pair of weakly compatible mappings satisfying contractive inequalities of integral type in a metric space are proved. The results obtained in this paper improve or differ from a few results existing in the literature.

• Honam Mathematical Journal
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• v.35 no.2
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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.