Some Fixed Point Theorems For Mappings Satisfying Contractive Conditions Of Integral Type

Main Article Content

Naveen Jha

Abstract

In this paper, we establish some common fixed-point theorems for two pairs of weakly compatible mappings satisfying integral type contractive conditions integral type in dislocated metric spaces by using E.A. which improves and extends similar known results in the literature.
 

2010 AMS Mathematics Subject Classification: 54H25, 47H10

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Article Details

How to Cite
Jha , N. (2019). Some Fixed Point Theorems For Mappings Satisfying Contractive Conditions Of Integral Type . Turkish Journal of Computer and Mathematics Education (TURCOMAT), 10(2), 1981–1991. https://doi.org/10.61841/turcomat.v10i2.14607
Section
Research Articles

References

Banach, S., “Sur les operations dans les ensembles abstraits et leur applications aux equations integrals”, Fundamental Mathematicae, 3(7), 133–181, 1922.

Branciari, A., “A fixed point theorem for mapping satisfying a general contractive condition of integral type”, Internat. J. Math. Math.Sci., 29, 531–536, 2002.

Aliouche, A., “A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type”, J. Math. Anal. and Appl., 332(2), 796–802, 2006.

Aamari, M. and Moutawakil, D.EI., “Some new common fixed point theorem under strict contractive conditions”, J. Math. Anal. Appl., 270(1), 181–188, 2002.

Ciric, Lj.B., “Generalized contractions and fixed point theorems”, Publ. Inst. Math., 26, 115-148, 1963.

Djoudi, A. and Merghadi, F., “Common fixed point theorems for maps under a contractive condition of integral type”, J. Math. Anal. Appl., 341, 953–960, 2008.

Jungck, G., “Commuting mappings and fixed points”, Amer. Math. Monthly., 83, 261–263, 1976.

Jungck, G., “Compatible mappings and Common fixed points”, Internat. J. Math. and Math. Sci., 2, 285–288, 1986.

Jungck, G., Murthy, P.P. and Cho, Y.J., “Compatible mappings of type (A) and Common fixed point theorems”, Math. Japan., 38, 381–390, 1993.

Jungck, G. and Rhoades, B.E., “Fixed points for set–valued function without continuity”, Ind. J. Pure Appl. Math., 29(3), 227–238, 1998.

Matthews, S.G., “Metric Domains for Completeness”,. Technical Report 76, Ph.D. Thesis, Department of Computer Science, University of Warwick, Coventry,1986.

Hitzler, P. and Seda, “A.K. Dislocated Topologies. Journal of Electrical Engineering”, 51, 3-7,2000.

Kumari,P.S. Zoto,K. and Panthi, D., “d-Neighborhood System and generalized F- Contraction in Dislocated Metric Space”,. Springer Plus, 4, 1-10,2015

Kumari, P.S. “Common Fixed Point Theorems on Weakly Compatible Maps on Dis located Metric Spaces”,. Mathematical Sciences, 6, 71,2012.

Kumari, P.S. and Panthi, D., “ Cyclic Contractions and Fixed Point Theorems on Various Generating Spaces”,. Fixed Point Theory and Applications, 153,2015.

Kumari, P.S., Ramana, C.V., Zoto, K. and Panthi, D., “Fixed Point Theorems and Generalizations of Dislocated Metric Spaces”,. Indian Journal of Science and Technology, 8, 154-158,2015.

Panthi, D., “Common Fixed Point Theorems for Compatible Mappings in Dislocated Metric Space”,. International Journal of Mathematical Analysis, 9, 2235-2242,2015.

Panthi, D.,“Fixed Point Results in Cyclic Contractions of Generalized Dislocated Metric Spaces”,. Annals of Pure and Applied Mathematics, 5, 192-197,2014.

Panthi, D. and Kumari, P.S., “Some Integral Type Fixed Point Theorems in Dislocated Metric Space”,. American Journal of Computational Mathematics, 6, 88-97,2016.

Panthi, D. and Kumari, P.S., “Common Fixed Point Theorems for Mappings of Compatible Type(A) in Dislocated Metric Space”,. Nepal Journal of Science and Technology, 16, 79-86,2015.

Panthi, D. and Jha, K., “A Common Fixed Point of Weakly Compatible Mappings in Dislocated Metric Space”, Kathmandu University Journal of Science, Engineering and Tech nology, 8, 25-30,2012.

Rhoades, B. E.,“Two Fixed–Point Theorems For Mappings Satisfying a General Contractive Condition of Integral Type”, Int. J. of Math. and Math. Sci., 63, 4007–4013, 2003.

Sarma, I.R., Rao, J.M., Kumari, P.S. and Panthi, D. “Convergence Axioms on Dislocated Symmetric Spaces” Abstract and Applied Analysis, 2014.

Sessa, S.,“On a weak commutativity condition of mappings in fixed point considerations”, Publ. Inst. Math. (Beograd), 32, 149–153, 1982.

Sintunavarat, W. and Kumam, P. “Common Fixed Points for a Pair of Weakly Compatible Maps in Fuzzy Metric Spaces”,. Journal of Applied Mathematics, 1-14, 2011.