 citations in SCIndeks: 0
 citations in CrossRef:0
 citations in Google Scholar:[]
 visits in previous 30 days:2
 fulltext downloads in 30 days:2


2014, vol. 18, iss. 2, pp. 7390

Quadruple coincidence and common quadruple fixed point for hybrid pair of mappings under new contractive condition
Abstract
We establish a quadruple coincidence and common quadruple fixed point theorem for hybrid pair of mappings satisfying new contractive condition. It is to be noted that to find quadruple coincidence points, we do not use the condition of continuity of any mapping involved. An example supporting to our result has also been cited. We improve, extend and generalize several known results.



References


Aydi, H., Karapınar, E., Yüce, İ.Ş. (2012) Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces Depending on Another Function. ISRN Applied Mathematics, 2012: 116

3

Bhaskar, T., Lakshmikantham, V. (2006) Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Analysis: Theory, Methods & Applications, 65(7): 13791393


Deshpande, B., Handa, A. Quadruple fixed point theorems for multivalued mappings under contraction on partially ordered metric spaces. SEA Bull. Math, accepted for publication in


Deshpande, B. (2007) Common fixed point for set and single valued functions without continuity and compatibility. Mathematica Moravica, br. 11, str. 2738


Karapinar, E., Berinde, V. (2011) Quadruple fixed point theorems for nonlinear contractions in partially ordered metric spaces. Banach J. Math. Anal., 6(1); 119135


Karapinar, E. Quartet fixed point for nonlinear contractions. http://arxiv.org/abs/1106.5472

1

Karapinar, E., Sadarangani, K. (2011) Fixed point theory for cyclic (ϕ  ψ)contractions. Fixed Point Theory and Applications, 2011(1): 69


Karapınar, E., Luong, N.V. (2012) Quadruple fixed point theorems for nonlinear contractions. Computers & Mathematics with Applications, 64(6): 18391848

1

Karapınar, E. (2011) Quadruple Fixed Point Theorems for Weak ϕ Contractions. ISRN Mathematical Analysis, 2011: 115

1

Kubiaczyk, I., Deshpande, B. (2006) A common fixed point theorem for multivalued mappings through tweak commutativity. Mathematica Moravica, br. 10, str. 5560


Kubiaczyk, I., Deshpande, B. (2007) Common fixed point of multivalued mappings without continuity. Fasciculi Mathematici, 37(9); 1926

5

Lakshmikantham, V., Ćirić, L. (2009) Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Analysis: Theory, Methods & Applications, 70(12): 43414349

1

Markin, J.T. (1973) Continuous Dependence of Fixed Point Sets. Proceedings of the American Mathematical Society, 38(3): 545


Rasouli, S.H., Bahrampour, M. (2013) On Quadruple fixed point theorems in partially ordered metric spaces. International journal of mathematics and statistics, 13(1)

1

Samet, B., Vetro, C. (2010) Coupled fixed point, $F$invariant set and fixed point of $N$order. Annals of Functional Analysis, 1(2): 4656


Sharma, S., Deshpande, B. (2007) Fixed point theorems for set and single valued maps without continuity and compatibility. Demonstratio Mathematica, 40(3):



