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

Coupled Fixed Point Theorems with CLRg property in Fuzzy Metric Spaces .

In this paper, we prove common coupled fixed point theorems by using  E.A. property and CLRg property for coupled mappings  without exploiting the notion of continuity, completeness of  the whole space or any of its range spaces. Our theorems generalize the result of  [5] and [10-14]. We also find an affirmative answer in fuzzy metric space to the problem of Rhoades[2]. Illustrative  examples supporting our results have also been cited

Common Fixed Point Results for Compatible Map in Digital Metric Spaces

The aim of this paper is to define the concept of  compatible maps and its variants in the setting of digital metric spaces and establish some common fixed point results for these maps. Also, an application  of the proposed results is quoted in this note

On norms of composition operators on weighted hardy spaces

 The computation of composition operator on Hardy spaces is very hard. In this paper we propose  a  norm of a bounded composition operator on weighted Hardy spaces H2(b) induced by a disc  automorphism by embedding  the classical Hardy space . The estimate obtained is accurate in the sense that it provides the exact norm for particular instances of the sequence b. As an application of our results, an estimate for the norm of any bounded composition operator on H2(b) is obtained

Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces

The purpose of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed points in modified intuitionistic fuzzy metric spaces enjoying an implicit function utilized in Tanveer et al. (2012) and Imdad et al. (2012). As an application to our main result, we derive a fixed point theorem for finite families of self-mappings. We also give some examples which demonstrate the validity of the hypotheses and degree of generality of our main results. Our results improve and extend several previously known fixed point theorems of the existing literature

n

The intent of this paper is to introduce the notion of compatible mappings for n-tupled coincidence points due to (Imdad et al. (2013)). Related examples are also given to support our main results. Our results are the generalizations of the results of (Gnana Bhaskar and Lakshmikantham (2006), Lakshmikantham and Ćirić (2009), Choudhury and Kundu (2010), and Choudhary et al. (2013))

(a,b,c)-weak contraction in fuzzy metric spaces

The aim of this paper is to establish some new common fixed point theorems for mappings employing (a,b,c) -weak contraction in fuzzy metric spaces. Our results generalize and improve various well known comparable results

Coupled fixed points results for w-compatible mappings in symmetric G-metric spaces

Abstract. Mustafa et. al [19] generalized the concept of metric space by introducing G-metric space and proved fixed point theorems for mappings satisfying different contractive conditions (se

A Common Fixed Point Theorem in Metric Space under General Contractive Condition

We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of Sedghi and Shobe (2007)