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Some Common Fixed Point Theorems for Four Mappings in Dislocated Metric Space
Department of Mathematics, Valmeeki Campus, Nepal Sanskrit University, Kathmandu, Nepal
Department of Mathematics Education, Mahendra Ratna Multiple Campus, Ilam, Nepal
- 1 Department of Mathematics, Valmeeki Campus, Nepal Sanskrit University, Kathmandu, Nepal
- 2 Department of Mathematics Education, Mahendra Ratna Multiple Campus, Ilam, Nepal
Advances in Pure Mathematics·Volume 06 (2016)·Pages 695–712·Published 12 September 2016·DOI10.4236/apm.2016.610057
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Abstract
In this article, we establish some common fixed point theorems for two pairs of weakly compatible mappings with (E. A.) and (CLR) property in dislocated metric space which generalize and extend some similar results in the literature.
KeywordsDislocated MetricWeakly Compatible MapsCommon Fixed Point
- Matthews, S.G. (1986) Metric Domains for Completeness. Technical Report 76, Ph.D. Thesis, Department of Computer Science, University of Warwick, Coventry.
- Hitzler, P. and Seda, A.K. (2000) Dislocated Topologies. Journal of Electrical Engineering, 51, 3-7.
- Kumari, P.S., Zoto, K. and Panthi, D. (2015) d-Neighborhood System and Generalized F-Contraction in Dislocated Metric Space. SpringerPlus, 4, 1-10. http://dx.doi.org/10.1186/s40064-015-1095-3
- Kumari, P.S. (2012) Common Fixed Point Theorems on Weakly Compatible Maps on Dislocated Metric Spaces. Mathematical Sciences, 6, 71. http://dx.doi.org/10.1186/2251-7456-6-71
- Kumari, P.S. and Panthi, D. (2015) Cyclic Contractions and Fixed Point Theorems on Various Generating Spaces. Fixed Point Theory and Applications, 2016, 28. http://dx.doi.org/10.1186/s13663-016-0521-8
- Kumari, P.S., Ramana, C.V., Zoto, K. and Panthi, D. (2015) Fixed Point Theorems and Generalizations of Dislocated Metric Spaces. Indian Journal of Science and Technology, 8, 154-158. http://dx.doi.org/10.17485/ijst/2015/v8iS3/62247
- Panthi, D. (2015) Common Fixed Point Theorems for Compatible Mappings in Dislocated Metric Space. International Journal of Mathematical Analysis, 9, 2235-2242. http://dx.doi.org/10.12988/ijma.2015.57177
- Panthi, D. (2014) Fixed Point Results in Cyclic Contractions of Generalized Dislocated Metric Spaces. Annals of Pure and Applied Mathematics, 5, 192-197.
- Panthi, D. and Kumari, P.S. (2016) Some Integral Type Fixed Point Theorems in Dislocated Metric Space. American Journal of Computational Mathematics, 6, 88-97. http://dx.doi.org/10.4236/ajcm.2016.62010
- Panthi, D. and Kumari, P.S. (2015) Common Fixed Point Theorems for Mappings of Compatible Type(A) in Dislocated Metric Space. Nepal Journal of Science and Technology, 16, 79-86. http://dx.doi.org/10.3126/njst.v16i1.14360
- Panthi, D. and Jha, K. (2012) A Common Fixed Point of Weakly Compatible Mappings in Dislocated Metric Space. Kathmandu University Journal of Science, Engineering and Tech-nology, 8, 25-30.
- Sarma, I.R., Rao, J.M., Kumari, P.S. and Panthi, D. (2014) Convergence Axioms on Dislocated Symmetric Spaces. Abstract and Applied Analysis, 2014, Article ID: 745031.
- Jungck, G. and Rhoades, B.E. (1998) Fixed Points for Set Valued Functions without Continuity. Indian Journal of Pure and Applied Mathematics, 29, 227-238.