• Title/Summary/Keyword: Weakly compatible mappings

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COMMON FIXED POINT FOR WEAK COMPATIBLE MAPPINGS OF TYPE ($\alpha$) IN MENGER SPACES

  • Sharma, Sushil;Singh, Amardeep
    • East Asian mathematical journal
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    • v.23 no.1
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    • pp.123-133
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    • 2007
  • In this paper we prove common fixed point theorem for four mappings, under the condition of compatible mappings of type ($\alpha$) in Menger space, without taking any function continuous. We improve results of Pathak, Kang and Baek [13] and Cho, Murthy and Stojakovic [37].

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Fixed Point Theorems for Weakly Compatible Functions using (JCLR) Property in Intuitionistic Fuzzy Metric Space

  • Park, Jong Seo
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.12 no.4
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    • pp.296-299
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    • 2012
  • In this paper, we give definitions for common limit in the range property of mappings and obtain common fixed point theorem for a pair of weakly compatible functions in intuitionistic fuzzy metric space using the joint common limit in the range property of mappings(shortly, (JCLR) property). Our results improve and generalize results of Chauhan et al[1].

COMMON FIXED POINT THEOREMS FOR MAPPINGS ON CONE METRIC SPACES

  • Kim, Jeong-Jin;Bae, Jong-Sook;Cho, Seong-Hoon
    • 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.

COMMON FIXED POINTS FOR WEAKENED COMPATIBLE MAPPINGS SATISFYING THE GENERALIZED ϕ-WEAK CONTRACTION CONDITION

  • Jain, Deepak;Kumar, Sanjay;Jung, Chahn Yong
    • The Pure and Applied Mathematics
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    • v.26 no.2
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    • pp.99-110
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    • 2019
  • In this paper, we prove some common fixed point theorems for pairs of weakened compatible mappings (subcompatible and occasionally weakly compatible mappings) satisfying a generalized ${\phi}-weak$ contraction condition involving various combinations of the metric functions. In fact, our results improve the results of Jain et al.. Also we provide an example for validity of our results.

FIXED POINT THEOREMS FOR SIX WEAKLY COMPATIBLE MAPPINGS IN $D^*$-METRIC SPACES

  • Sedghi, Shaban;Khan, M. S.;Shobe, Nabi
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.351-363
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    • 2009
  • In this paper, we give some new definitions of $D^*$-metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete $D^*$-metric spaces. We get some improved versions of several fixed point theorems in complete $D^*$-metric spaces.

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COMMON FIXED POINTS OF A PAIR OF MAPPINGS CONCERNING CONTRACTIVE INEQUALITIES OF INTEGRAL TYPE

  • Cai, Tao;Zhang, XiangShuai;Zhao, Liangshi
    • 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.

COMMON FIXED POINT THEOREMS FOR A CLASS OF WEAKLY COMPATIBLE MAPPINGS IN D-METRIC SPACES

  • Kim, Jong-Kyu;Sedghi, Shaban;Shobe, Nabi
    • East Asian mathematical journal
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    • v.25 no.1
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    • pp.107-117
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    • 2009
  • In this paper, we give some new definitions of D-metric spaces and we prove a common fixed point theorem for a class of mappings under the condition of weakly compatible mappings in complete D-metric spaces. We get some improved versions of several fixed point theorems in complete D-metric spaces.

COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR SINGLE-VALUED AND SET-VALUED MAPPINGS

  • Pant, Badri Datt;Samet, Bessem;Chauhan, Sunny
    • Communications of the Korean Mathematical Society
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    • v.27 no.4
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    • pp.733-743
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    • 2012
  • In the present paper, we prove common fixed point theorems for single-valued and set-valued occasionally weakly compatible mappings in Menger spaces. Our results improve and extend the results of Chen and Chang [Chi-Ming Chen and Tong-Huei Chang, Common fixed point theorems in Menger spaces, Int. J. Math. Math. Sci. 2006 (2006), Article ID 75931, Pages 1-15].