Fixed points for non-surjective expansion mappings

The contractive conditions of Popa (Demonstr. Math. 1990, 23, 213-218) were further improved for four non-surjective expansion mappings, and some common fixed point theorems under semi-compatible pairs of mappings are proved. Our main findings bring improvements to a number of results in the non-met...

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Main Authors: B. K. Sharma, D. R. Sahu, M. Bounias, A. Bonaly
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000398
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author B. K. Sharma
D. R. Sahu
M. Bounias
A. Bonaly
author_facet B. K. Sharma
D. R. Sahu
M. Bounias
A. Bonaly
author_sort B. K. Sharma
collection DOAJ
description The contractive conditions of Popa (Demonstr. Math. 1990, 23, 213-218) were further improved for four non-surjective expansion mappings, and some common fixed point theorems under semi-compatible pairs of mappings are proved. Our main findings bring improvements to a number of results in the non-metric setting. Some implications for mathematical physics are raised with respect to physical invariants
format Article
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institution Kabale University
issn 0161-1712
1687-0425
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publishDate 1998-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b29e3d52ee414a05a815c61e94256bf12025-02-03T00:59:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121227728810.1155/S0161171298000398Fixed points for non-surjective expansion mappingsB. K. Sharma0D. R. Sahu1M. Bounias2A. Bonaly3School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492 010, IndiaSchool of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur 492 010, IndiaUniversity of Avignon and INRA, Biomathematics Unit, Faculty of Sciences, Avignon F- 84 000, FranceMathematics, University of Paris X, FranceThe contractive conditions of Popa (Demonstr. Math. 1990, 23, 213-218) were further improved for four non-surjective expansion mappings, and some common fixed point theorems under semi-compatible pairs of mappings are proved. Our main findings bring improvements to a number of results in the non-metric setting. Some implications for mathematical physics are raised with respect to physical invariantshttp://dx.doi.org/10.1155/S0161171298000398Common fixed points; expansion mappings; semi. compatibility; d-complete topological spaces.
spellingShingle B. K. Sharma
D. R. Sahu
M. Bounias
A. Bonaly
Fixed points for non-surjective expansion mappings
International Journal of Mathematics and Mathematical Sciences
Common fixed points; expansion mappings; semi. compatibility; d-complete topological spaces.
title Fixed points for non-surjective expansion mappings
title_full Fixed points for non-surjective expansion mappings
title_fullStr Fixed points for non-surjective expansion mappings
title_full_unstemmed Fixed points for non-surjective expansion mappings
title_short Fixed points for non-surjective expansion mappings
title_sort fixed points for non surjective expansion mappings
topic Common fixed points; expansion mappings; semi. compatibility; d-complete topological spaces.
url http://dx.doi.org/10.1155/S0161171298000398
work_keys_str_mv AT bksharma fixedpointsfornonsurjectiveexpansionmappings
AT drsahu fixedpointsfornonsurjectiveexpansionmappings
AT mbounias fixedpointsfornonsurjectiveexpansionmappings
AT abonaly fixedpointsfornonsurjectiveexpansionmappings