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Bisht, R. K.
- Generalized Strict Contractive Conditions and Common Fixed Points
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1 Department of Mathematics - Applied Sciences and Humanities, Bipin Tripahti Kumaon Institute of Technology, Dwarahat, Almora - 262 553, IN
1 Department of Mathematics - Applied Sciences and Humanities, Bipin Tripahti Kumaon Institute of Technology, Dwarahat, Almora - 262 553, IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 3-4 (2014), Pagination: 219-226Abstract
This paper is intended to obtain a common fixed point the- orem for a pair of self mappings satisfying a Lipschitz type analogue of strict contractive condition by using a relatively new notion of condi- tional reciprocal continuity wherein we never require conditions on the completeness of the space, noncompatibility or property (E.A.), continu- ity of any mapping and completeness ( or closedness) of the range of any one of the involved mappings.Keywords
Fixed Point Theorems, Conditional Reciprocal Continuity, (E.A.) Property, R-Weakly Commuting Mappings and Reciprocal Continuity.
References
- A. Aamri and D. El Moutawakil, Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl., 270, (2002), 181–188.
- Jin-xuan Fang and Yang Gao, Common fixed point theorems under strict contractive conditions in Menger spaces, Nonlinear Analysis 70, (2009), 184–193.
- M. Imdad, Javid Ali and Ladlay Khan, Coincidence fixed points in symmetric spaces under strict contractions, J. Math. Anal. Appl., 320, (2006), 352–360.
- G. Jungck, Compatible mappings and common fixed points, Internat. J. Math.and Math. Sci., 9,(1986), 771–779.
- T. Kamran, Coincidence and fixed points for hybrid strict contractions, J. Math. Anal. Appl. 299, (2004), 235–283.
- I. Kubiaczyk and S. Sharma, Some common fixed point theorems in Menger space under strict contractive conditions, Southeast Asian Bull. Math., 32, (2008), 117–124.
- R. P. Pant, Common fixed points of noncommuting mappings, J. Math. Anal. Appl., 188 (1994), 436–440.
- R. P. Pant, Common fixed points of four mappings, Bull. Cal. Math. Soc., 90 (1998), 281–286.
- R. P. Pant, Discontinuity and fixed points, J. Math. Anal. Appl., 240 (1999), 284–289.
- R. P. Pant and R. K. Bisht, Common fixed point theorems under a new continuity condition, Ann. Univ. Ferrara, 58 no. 1, (2012), 127–141.
- R. P. Pant and V. Pant, Common fixed points under strict contractive conditions, J. Math. Anal. Appl., 248,(2000), 327–332.
- R. P. Pant, V. Pant and K. Jha, Note on common fixed points under strict contractive conditions, J. Math. Anal. Appl., (erratum) 274, (2002), 879-880.
- H. K. Pathak, Y. J. Cho and S. M. Kang, Remarks of R-weakly commuting mappings and common fixed point theorems, Bull. Korean Math. Soc., 34 (1997), 247–257.
- B. E. Rhoades, Contractive definitions and continuity, Contemporary Math. Amer. Math. Soc., 72, (1988), 233–245.
- S, Sessa, On a weak commutativity condition in fixed point considerations, Publ. Inst. Math., (Beograd) (NS) 34 (46), (1982), 149–153.
- S. L. Singh and S. N. Mishra, Coincidences and fixed points of reciprocally continuous and compatible hybrid maps, Internat. J. Math. and Math. Sci., Vol 30, No. 10(2002), 627–635.
- Induced Metrics and Comparison of Contraction Mappings
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Authors
Affiliations
1 Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital 263 002, IN
1 Department of Mathematics, D.S.B. Campus, Kumaun University, Nainital 263 002, IN