Common Fixed Point for Three Pairs of Self-Maps Satisfying Common (E.A) Property in Generalized Metric Spaces

Using the concept of common (E.A) property, we prove a common fixed point theorem for three pairs of weakly compatible self-maps satisfying a new contractive condition in the framework of a generalized metric space. Our results do not rely on any commuting or continuity condition of mappings. An example is provided to support our result. The results obtained in this paper differ from the recent relative results in the literature.

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Common fixed point for three pairs of self-maps satisfying weakly commuting and weakly compatible condition in generalized metric spaces

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.009.06.43 ◽

2016 ◽

Vol 09 (06) ◽

pp. 3962-3979

Author(s):

Zhongzhi Yang

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Metric Spaces ◽

Generalized Metric Spaces ◽

Weakly Compatible ◽

Generalized Metric ◽

Compatible Condition

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Common Fixed Point for Two Pairs of Mappings Satisfying (E.A) Property in Generalized Metric Spaces

Abstract and Applied Analysis ◽

10.1155/2012/394830 ◽

2012 ◽

Vol 2012 ◽

pp. 1-15 ◽

Cited By ~ 9

Author(s):

Wei Long ◽

Mujahid Abbas ◽

Talat Nazir ◽

Stojan Radenović

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Metric Spaces ◽

Fixed Point Problem ◽

Common Fixed Points ◽

Point Problem ◽

Generalized Metric Space ◽

Generalized Metric Spaces ◽

Generalized Metric ◽

Common Fixed Point Problem

Recently, Abbas et al. (2012) obtained some unique common fixed-point results for a pair of mappings satisfying (E.A) property under certain generalized strict contractive conditions in the framework of a generalized metric space. In this paper, we present common coincidence and common fixed points of two pairs of mappings when only one pair satisfies (E.A) property in the setup of generalized metric spaces. We present some examples to support our results. We also study well-posedness of common fixed-point problem.

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Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces

Abstract and Applied Analysis ◽

10.1155/2012/379212 ◽

2012 ◽

Vol 2012 ◽

pp. 1-21 ◽

Cited By ~ 4

Author(s):

Feng Gu

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Generalized Metric Spaces ◽

Weakly Compatible ◽

Generalized Metric ◽

Common Fixed Point Theorems

By using the weakly commutative and weakly compatible conditions of self-mapping pairs, we prove some new common fixed point theorems for six self-mappings in the framework of generalized metric spaces. An example is provided to support our result. The results presented in this paper generalize the well-known comparable results in the literature due to Abbas, Nazir, Saadati, Mustafa, and Sims.

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Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/2018/4053478 ◽

2018 ◽

Vol 2018 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Chaiporn Thangthong ◽

Anchalee Khemphet

Keyword(s):

Integral Equation ◽

Fixed Point ◽

Common Fixed Point ◽

Metric Space ◽

Additional Condition ◽

Metric Spaces ◽

Coincidence Point ◽

Generalized Metric Space ◽

Generalized Metric Spaces ◽

Generalized Metric

The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems.

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Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

International Journal of Emerging Research in Management and Technology ◽

10.23956/ijermt.v6i8.155 ◽

2018 ◽

Vol 6 (8) ◽

pp. 297

Author(s):

Jagdish C. Chaudhary ◽

Shailesh T. Patel

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Complete Metric Space ◽

Contractive Condition ◽

Integral Type ◽

Complete Metric Spaces ◽

Common Fixed Point Theorems ◽

Common Fixed Point Theorem

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral type.

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A common fixed point theorem for two weakly compatible pairs in G-metric spaces using the property E.A

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-41 ◽

2013 ◽

Vol 2013 (1) ◽

Cited By ~ 2

Author(s):

Saurabh Manro ◽

Satwinder Singh Bhatia ◽

Sanjay Kumar ◽

Calogero Vetro

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Common Fixed Point ◽

Point Theorem ◽

Metric Spaces ◽

Weakly Compatible ◽

Common Fixed Point Theorem

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Some Common Fixed Point Theorems in Generalized Metric Spaces

Journal of Mathematics ◽

10.1155/2013/719324 ◽

2013 ◽

Vol 2013 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Manoj Kumar ◽

Pankaj Kumar ◽

Sanjay Kumar

Keyword(s):

Fixed Point ◽

Common Fixed Point ◽

Fixed Point Theorems ◽

Metric Spaces ◽

Compatible Maps ◽

Weakly Compatible Maps ◽

Generalized Metric Spaces ◽

Weakly Compatible ◽

Common Fixed Point Theorems ◽

Common Limit Range Property

First we prove common fixed point theorems for weakly compatible maps which generalize the results of Chen (2012). Secondly, we prove common fixed point theorems using property E.A. along with weakly compatible maps. At the end, we prove common fixed point theorems using common limit range property (CLR property) along with weakly compatible maps.

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