List of Articles coupled fixed point

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  1 - Indicator of $S$-Hausdorff metric spaces and coupled strong fixed point theorems for pairwise contraction maps
  Ghorban Khalilzadeh Ranjbar Mohammad Esmael Samei
  In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then More

  In the study of fixed points of an operator it is useful to consider a more general concept, namely coupled fixed point. Edit In this paper, by using notion partial metric, we introduce a metric space $S$-Hausdorff on the set of all close and bounded subset of $X$. Then the fixed point results of multivalued continuous and surjective mappings are presented. Furthermore, we give a positive result on the Nadler contraction theorem for multivalued mappings in this space. In the following, by expressing pseudo-Banach-type pairs of mappings, we study the conditions for the existence of a unique coupled strong fixed point in these mappings. Pseudo-Chatterjae mapping $F:X \times X\to X$ satisfies in \[d\left( F(x, y), F(u, v) \right) \leq k \max \left\{ d\left( x, F(u, v)\right), d\left( F(x, y), u\right) \right\}, \] where $x, v \in A$, $y, u \in B$ and $0 < k < \frac{1}{2}$. Also, We define some quasi-Banach and Pseudo-Chatterjae contraction inequalities. In addition, we will prove theorems about coupled fixed points. Finally, several examples are presented to understand the our results. Manuscript profile
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  2 - Coupled fixed point on ordered cone metric spaces with application in integral equations
  S. Ghods M. Eshaghi Gordji
  Our theorems are on ordered cone metric spaces which are not necessarily normal. In the end, we describe the application of the main results in the integral equation.Although Du in [W‎. ‎S‎. ‎Du‎, ‎A note on cone metric fixed point theory and its More

  Our theorems are on ordered cone metric spaces which are not necessarily normal. In the end, we describe the application of the main results in the integral equation.Although Du in [W‎. ‎S‎. ‎Du‎, ‎A note on cone metric fixed point theory and its equivalence‎, ‎Nonlinear Analysis‎, ‎72(2010) 2259-2261.]‎, ‎showed that the fixed point results in the setting of cone metric spaces in which linear contractive conditions appear‎, ‎can be reduced to their respective results in the metric setting‎, ‎but it has been shown in the papers [W‎. ‎S‎. ‎Du, New cone fixed point theorems for nonlinear multivalued maps with their applications‎, ‎Applied Mathematic Letters,‎24(2011) 172-178.] and [S‎. ‎Jankovic‎, ‎Z‎. ‎Kadelburg‎, ‎S‎. ‎Radenovic‎, ‎On cone metric spaces‎: ‎A survey‎, ‎Nonlinear Analysis‎, ‎74(2011) 2591-2601‎.] ‎when‎, cone metric spaces are non-normal‎, the results may not hold‎.The results from our paper belong to this category‎. Manuscript profile
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  3 - On End and Coupled Endpoints of $\theta$-$F$-Contractive Set-Valued ‎Mappings‎
  B. Mohammadi A. Alizadeh
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  4 - Coupled fixed point in Fuzzy metric spaces
  Samaneh Ghods
  In this present work, we prove fixed point theorem for contractive mapping F: X × X → X in fuzzy metric spaces that have a nonempty F −invariant complete subspace E, then prove the uniqueness the fixed point in E. Though many theorems in fuzzy metric sp More

  In this present work, we prove fixed point theorem for contractive mapping F: X × X → X in fuzzy metric spaces that have a nonempty F −invariant complete subspace E, then prove the uniqueness the fixed point in E. Though many theorems in fuzzy metric space in this case, our theorem is a new type of these theorems. because we prove unique fixed point is in F − invariant complete subset E in X. Finally, we give an interesting example in complete fuzzy metric space that satisfies in the conditions of our theorem. Manuscript profile
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  5 - Some Coupled Coincident Point Theorems in Metric Space
  Samaneh Ghods
  10.30495/fomj.2022.1952187.1060
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  6 - Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces
  K. P. R. Rao G. V. N. Kishore Sk. Sadik
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  7 - Coupled fixed point theorems involving contractive condition of integral type in generalized metric spaces
  R. Shah A. Zada
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  8 - Integral type contraction and coupled fixed point theorems in ordered G-metric spaces
  E. Lotfali Ghasab H. Majani G. Soleimani Rad
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  9 - Coupled fixed point results for $T$-contractions on $\mathcal{F}$-metric spaces and an application
  H. Majani R. Zaer Soleimani Javad Izadi
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  10 - Strength of dynamic technique to rational type contraction in partially ordered metric spaces and extension of out comes of coupled fixed point
  S. K. Tiwari J. P. Ganvir
  10.30495/jlta.2023.1981812.1546
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  11 - COUPLED FIXED POINT THEOREMS FOR GENERALIZED Φ-MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE ON CONE METRIC SPACES
  J. O. Olaleru G. A. Okeke H. Akewe
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