Some Coupled Fixed Point Results on Partial Metric Spaces

In this paper we give some coupled fixed point results for mappings satisfying different contractive conditions on complete partial metric spaces.Comment: To appear in International Journal of Mathematics and Mathematical Science

Fixed point theorems for multivalued generalized nonlinear contractive maps in partial metric spaces

We prove some fixed-point results for multivalued generalized nonlinear contractive mappings in partial metric spaces, which generalize and improve the corresponding recent fixed-point results due to Ćirić [L. B. Ćirić, “Multivalued nonlinear contraction mappings,” Nonlin. Anal., 71, 2716–2723 (2009)] and Klim and Wardowski [D. Klim and D. Wardowski, “Fixed-point theorems for set-valued contractions in complete metric spaces,” J. Math. Anal. Appl., 334, 132–139 (2007)].Доведено ДЄЯКІ теореми про нерухому точку в частково метричних просторах, що узагальнюють та покращують відповідні нові результати про нерухому точку, отримані Чірічем (CiriC L. B. Multivalued nonlinear contraction mappings // Nonlinear Anal. - 2009. - 71. - P. 2716-2723) та Клімом i Вардовським (Klim D., Wardowski D. Fixed point theorems for set-valued contractions in complete metric spaces // J. Math. Anal. and Appl. - 2007. - 334. - P. 132-139)

Some new coupled fixed point theorems on partial metric spaces

In this paper, we obtain some new coupled fixed point theorems for mappings satisfying some contractive conditions on complete partial metric space. Our results unify, extend and generalize the results of [3] and [12]

Some coincidence and common fixed point theorems for ordered Presic-Reich type contractions

The purpose of this paper is to prove some coincidence and common fixed point theorems for ordered Presic-Reich type contractions in ordered metric spaces. Results of this paper generalize and extend several known results from metric spaces into product spaces when the underlying space is an ordered metric space. An example illustrates the case when new results can be applied while old ones cannot

Unique Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Partial Metric Spaces

The aim of this paper to prove some fixed point theorems for generalized weakly contractive condition in ordered partial metric spaces. The result extend the main theorems of Nashine and altun[17] on the class of ordered partial metric ones. Keywords: - Partial metric, ordered set, fixed point, common fixed point. AMS subject classification: - 54H25, 47H10, 54E5

Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces Depended on Another Function

In this article, we introduced concept of ICS mapping for quadruple fixed point in partially ordered metric space. The present results generalized the result of Karapinar E. [23] also we state some examples showing that our results are effective. Keywords: Quadrupled Fixed Point, Mixed monotone, ICS Mapping, Partially ordered set 2000 Mathematics subject classification: 47H10,54H2

Some Remarks on Multidimensional Fixed Point Theorems in Partially Ordered Metric Spaces.

In this paper , we show that multidimensional ( coupled, tripled, quadrupled, n-tupled)  theorems can be  reduced to unidimensional fixed point theorems. . 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 result by Berinde and Borcut, Nonlinear Analysis, Volume 74, Issue 15, October 2011, Pages 4889-4897, Quadruple fixed point theorems by E. Karapinar 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

Coincidence and fixed points for contractions and cyclical contractions in partial metric spaces

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