On Fixed Point Theorems in Intuitionistic Fuzzy Metric Space using E.A Property

The aim of this paper is to prove some common fixed point theorems for intuitionistic fuzzy metric space using E.A property

Common Fixed Point Theorem for Weakly Compatible Maps in Intuitionistic Fuzzy Metric Spaces

In this paper, we prove some common fixed point theorem for weakly compatible maps in intuitionistic fuzzy metric space for two, four and six self mapping

Common Fixed Point of Occasionally Weakly Compatible Maps on Intuitionistic Fuzzy Metric Spaces For Integral Type Inequality

In this paper, We obtain common fixed point theorems in intuitionistic fuzzy metric spaces using Occasionally weakly compatible maps for integral type inequality. Our results are the intuitionistic fuzzy version of some fixed point theorems for weakly compatible mappings on different metric spaces. Key words and phrases: Intuitionistic fuzzy metric space, Occasionally weakly Compatible mappings, Common fixed point

Common Fixed Point Theorem in Intuitionistic Fuzzy 2- Metric Spaces for Integral Inequality

In this paper, we prove a common fixed point theorem for weakly compatible maps in intuitionistic Fuzzy 2- metric space for integral type inequality.   2010 Mathematics Subject Classification: 47H10, 54H25.   Key words and phrases: Intuitionistic fuzzy 2- metric space, weakly Compatible mappings, Common fixed point

Existence results of delay and fractional differential equations via fuzzy weakly contraction mapping principle

[EN] The purpose of this article is to extend the results derived through former articles with respect to the notion of weak contraction into intuitionistic fuzzy weak contraction in the context of (T,N,∝) -cut set of an intuitionistic fuzzy set. We intend to prove common fixed point theorem for a pair of intuitionistic fuzzy mappings satisfying weakly contractive condition in a complete metric space which generalizes many results existing in the literature. Moreover, concrete results on existence of the solution of a delay differential equation and a system of Riemann-Liouville Cauchy type problems have been derived. In addition, we also present illustrative examples to substantiate the usability of our main result.Tabassum, R.; Azam, A.; Mohammed, SS. (2019). Existence results of delay and fractional differential equations via fuzzy weakly contraction mapping principle. Applied General Topology. 20(2):449-469. https://doi.org/10.4995/agt.2019.11683SWORD449469202H. M. 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Common Fixed Point Theorem for Weakly Compatible Maps in Intuitionistic Fuzzy Metric Spaces using Implicit Relation

In this paper, we use the notion of property E.A. in an intuitionistic fuzzy metric space to prove a common fixed point theorem which generalizes Theorem-2 of Turkoglu et al. (2006)

Common Fixed Points of Weakly Reciprocally Continuous Maps using a Gauge Function

The aim of the present paper is to obtain a common fixed point theorem by employing the recently introduced notion of weak reciprocal continuity. We demonstrate that weak reciprocal continuity ensures the existence of fixed points under contractive conditions which otherwise do not ensure the existence of fixed points. Our result generalize and extend several well-known fixed point theorems due to Boyd and Wong (1969), Jungck(1976), Pant (1994) and Pathak et al (1997). Keywords: Fixed point theorems, compatible maps, A-compatible maps, T-compatible maps, reciprocal continuity, weak reciprocal continuit

Results on n-tupled fixed points in complete ordered metric spaces.

The aim of this paper is to study  n-tupled coincidence and n-tupled fixed point results, a new notion propounded by M.Imdad et.al.[13] for compatible maps in partially ordered metric spaces. Our results generalize, extend and improve  the coupled fixed point results of Bhaskar and Lakshmikantham, Nonlinear Analysis: Theory, Methods and Applications, vol.65, no.7, 2006, pp. 1379-1393, V. Lakshmikantham and L. Ciric, Nonlinear Analysis, Theory, Method and Applications, vol. 70, no12, 2009, pp. 4341-4349, tripled fixed point theorems by Berinde and Borcut, Nonlinear Analysis, Volume 74, Issue 15, October 2011,  Pages 4889-4897, Quadruple fixed point theorems by E. Karapınar and V. Berinde, Banach Journal of Mathematical Analysis, vol. 6, no. 1, pp. 74 89, 2012 and multidimensional fixed point results by Muzeyyen Erturk and Vatan Karakaya, Journal of Inequalities and Applications 2013, 2013:196, pp. 1-19, M. Imdad, A. H. Soliman, B. S. Choudhary and P. Das, Journal of Operators, Volume 2013, Article ID 532867, pp. 1-8 and M. Paknazar, M. E. Gordji, M. D. L. Sen and S. M. Vaezpour, Fixed Point Theory and Applications 2013, 2013:11 etc

Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces

The purpose of this paper is to give some new fixed point theorems for contractive  type mappings in fuzzy metric spaces. The results presented improve and generalize some recent result. The result is a genuine generalization of the corresponding result of S.Sedghi et al. (2010).   Keywords: Fuzzy metric space, t-norm, g-convergent, coupled common fixed point. 2010 MSC: Primary 54E70; Secondary 54H25