Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps

Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps

In the present paper, we extend the concept ofWeak Reciprocal Continuity for a hybrid pair of single-valued and multi-valued maps and introduce (T; f)-completeness of the space. Further, we establish some results on the existence of coincidence and fixed points for the hybrid pair of maps. Our resul...

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Main Authors: Gairola Ajay, Singh Jay, Joshi Mahesh C.
Format: Article
Language:English
Published: De Gruyter 2014-07-01
Series:Demonstratio Mathematica
Subjects:
and phrases: reciprocally continuous
weakly reciprocally continuous
compatible maps
R-weak commutativity of type Af
Online Access:http://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0056/dema-2014-0056.xml?format=INT
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spelling doaj-274a6446610e4ddebd788a0e6dc8241e2020-11-24T22:23:59ZengDe GruyterDemonstratio Mathematica0420-12132391-46612014-07-0147370471310.2478/dema-2014-0056dema-2014-0056Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued MapsGairola Ajay0Singh Jay1Joshi Mahesh C.2DEPARTMENT OF MATHEMATICS D.S.B. CAMPUS KUMAUN UNIVERSITY NAINITALDEPARTMENT OF MATHEMATICS D.S.B. CAMPUS KUMAUN UNIVERSITY NAINITALDEPARTMENT OF MATHEMATICS D.S.B. CAMPUS KUMAUN UNIVERSITY NAINITALIn the present paper, we extend the concept ofWeak Reciprocal Continuity for a hybrid pair of single-valued and multi-valued maps and introduce (T; f)-completeness of the space. Further, we establish some results on the existence of coincidence and fixed points for the hybrid pair of maps. Our results generalize several well known results available in the literaturehttp://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0056/dema-2014-0056.xml?format=INTand phrases: reciprocally continuousweakly reciprocally continuouscompatible mapsR-weak commutativity of type Af
collection DOAJ
language English
format Article
sources DOAJ
author Gairola Ajay
Singh Jay
Joshi Mahesh C.
spellingShingle Gairola Ajay
Singh Jay
Joshi Mahesh C.
Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps
Demonstratio Mathematica
and phrases: reciprocally continuous
weakly reciprocally continuous
compatible maps
R-weak commutativity of type Af
author_facet Gairola Ajay
Singh Jay
Joshi Mahesh C.
author_sort Gairola Ajay
title Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps
title_short Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps
title_full Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps
title_fullStr Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps
title_full_unstemmed Coincidence and Fixed Point for Weakly Reciprocally Continuous Single-Valued and Multi-Valued Maps
title_sort coincidence and fixed point for weakly reciprocally continuous single-valued and multi-valued maps
publisher De Gruyter
series Demonstratio Mathematica
issn 0420-1213
2391-4661
publishDate 2014-07-01
description In the present paper, we extend the concept ofWeak Reciprocal Continuity for a hybrid pair of single-valued and multi-valued maps and introduce (T; f)-completeness of the space. Further, we establish some results on the existence of coincidence and fixed points for the hybrid pair of maps. Our results generalize several well known results available in the literature
topic and phrases: reciprocally continuous
weakly reciprocally continuous
compatible maps
R-weak commutativity of type Af
url http://www.degruyter.com/view/j/dema.2014.47.issue-3/dema-2014-0056/dema-2014-0056.xml?format=INT
work_keys_str_mv AT gairolaajay coincidenceandfixedpointforweaklyreciprocallycontinuoussinglevaluedandmultivaluedmaps
AT singhjay coincidenceandfixedpointforweaklyreciprocallycontinuoussinglevaluedandmultivaluedmaps
AT joshimaheshc coincidenceandfixedpointforweaklyreciprocallycontinuoussinglevaluedandmultivaluedmaps
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