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Lj. B. Ćirić Faculty of Mechanical Engineering Al. Rudara 12-35, 11 070 Belgrade, Serbia Al. Rudara 12-35, 11 070 Belgrade, Serbia

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Lj. B. Ćirić Faculty of Mechanical Engineering Al. Rudara 12-35, 11 070 Belgrade, Serbia Al. Rudara 12-35, 11 070 Belgrade, Serbia

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Lj. B. Ćirić Faculty of Mechanical Engineering Al. Rudara 12-35, 11 070 Belgrade, Serbia Al. Rudara 12-35, 11 070 Belgrade, Serbia

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N. T. Nikolić Faculty of Organizational Science Jove Ilica 154, 11 000 Belgrade, Serbia Jove Ilica 154, 11 000 Belgrade, Serbia

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N. T. Nikolić Faculty of Organizational Science Jove Ilica 154, 11 000 Belgrade, Serbia Jove Ilica 154, 11 000 Belgrade, Serbia

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N. T. Nikolić Faculty of Organizational Science Jove Ilica 154, 11 000 Belgrade, Serbia Jove Ilica 154, 11 000 Belgrade, Serbia

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Ume J. S. Department of Applied Mathematics, Changwon National University Changwon 641-773, Korea Changwon 641-773, Korea

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Ume J. S. Department of Applied Mathematics, Changwon National University Changwon 641-773, Korea Changwon 641-773, Korea

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Summary  

Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility, and extended the coincidence theorem for compatible mappings in Kaneko and Sessa [11] to weakly compatible mappings [13]. In the present paper, we define a new class of weakly compatible mappings (Definition 4) and prove some common fixed point theorems for these mappings, which satisfy Condition (2) below. Although our main theorem is formulated for weakly compatible mappings, its corresponding formulation for commutative mappings is also a new result, thus presenting a generalization of some theorems of Fisher, Das and Naik, Khan and Kubiaczyk, Reich, Ćirić and Rhoades and Watson.

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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