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2014 | 28 | 87--96
Tytuł artykułu

Altering Distance and Common Fixed Points for Hybrid Mappings Under Implicit Relations and Applications

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper we prove a general fixed point theorem by altering distance for two pairs of owc hybrid mappings generalizing the main result from [10] and we reduce the study of fixed point of pairs of mappings satisfying a contractive condition of integral type at the study of fixed points in metric spaces by altering distance satisfying an implicit relation. (original abstract)
Słowa kluczowe
Rocznik
Tom
28
Strony
87--96
Opis fizyczny
Twórcy
autor
  • The Vasile Alecsandri University of Bacău, Romania
  • The Vasile Alecsandri University of Bacău, Romania
Bibliografia
  • Abbas A., Rhoades R.E., Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings, Pan Amer. Math. J. 18 (2008), 56-62.
  • Ahmed M., Common fixed point theorems for weakly compatible mappings, Rocky Mountain J. Math. 33 (2003), 1183-1203.
  • Aliouche A., A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type, J. Math. Anal. Appl. 322 (2006), 796-802.
  • Aliouche A., Popa V., General common fixed point theorems for occasionally weakly compatible hybrid mappings and applications, Novi Sad J. Math. 30 (2009), 89-109.
  • Altun I., Turkoglu D., Some fixed point theorems for weakly compatible multivalued mappings satisfying an implicit relation, Filomat 22 (2008), 13-23.
  • Altun I., Turkoglu D., Some fixed point theorems for weakly compatible mappings satisfying an implicit relation, Taiwanese J. Math. 13 (2009), 1291-1304.
  • Altun I., Turkoglu D., Rhoades B.E., Fixed points of weakly compatible mappings satisfying a general contractive condition of integral type, Fixed Point Theory Appl. 2007, Article ID 17301, 9 pp.
  • Al-Thagafi M.A., Shahzad N., Generalized I-non-expansive self maps and invariant approximation, Acta Math. Sinica 24(2008), 867-876.
  • Bouhadjera H., Djoudi A., Common fixed point theorems for single valued and set valued maps, Anal. Univ. Oradea, Fasc. Matem. 15 (2008), 109-127.
  • Bouhadjera H., Godet-Thobie C., Common fixed point theorems for occasionally weakly compatible maps, Acta Math. Vietnamica 36 (2011), 1-17.
  • Branciari A., A fixed point theorem for mappings satisfying a general contractive conditio of integral type, Intern. J. Math. Math. Sci 29 (2002), 531-536.
  • Djoudi A., Aliouche A., Common fixed point theorems of Greguš type for weakly compatible mappings satisfying contractive conditions of integral type, J. Math. Anal. Appl. 329 (2007), 31-45.
  • Djoudi A., Merghadi F., Common fixed point theorems for maps under a contractive condition of integral type, J. Math. Anal. Appl. 341 (2008), 953-960.
  • Elamrani M., Mehdaoui B., Common fixed point theorems for compatible and weakly compatible mappings, Revista Columbiana de Mateematicas 34 (2000), 25-33.
  • Fisher B., Common fixed point for mappings and set valued mappings, Rostok Math. Kolloq. 18 (1981), 69-77.
  • Fisher B., Sessa S., Two common fixed point theorems for weakly commuting mappings, Period. Math. Hungar. 20 (1989), 207-218.
  • Imdad M., Kumar S., Khan M.S., Remarks on some fixed points satisfying implicite relations, Radovi Mat. 11 (2002), 135-143.
  • Jungck G., Rhoades B.E., Some fixed point theorems for compatible mappings, Intern. J. Math. Math. Sci. 16 (1993), 417-428.
  • Jungck G., Rhoades B.E., Fixed point theorems for set valued functions without continuity, Indian J. Pure Appl. Math. 29 (1998), 227-238.
  • Jungck G., Rhoades B.E., Fixed point theorems for occasionally weakly compatible mappings, Fixed Point Theory 7 (2006), 287-297.
  • Khan M.S., Swaleh M., Sessa S., Fixed point theorems by altering distances between two points, Bull. Austral. Math. Soc. 30 (1984), 1-9.
  • Kohli J.K., Washistha S., Common fixed point theorems for compatible and weakly compatible mappings satisfying a general contractive condition, Stud. Cerc. St. Ser. Mat. Univ. Bacau 16 (2006), 33-42.
  • Kumar S., Chug R., Kumar R., Fixed point theorems for compatible mappings satisfying a contractive condition of integral type, Soochow J. Math. 33 (2007), 181-185.
  • Mocanu M., Popa V., Some fixed point theorems for mappings satisfying implicit relations in symmetric spaces, Libertas Math. 28 (2008), 1-13.
  • Popa V., Some fixed point theorems for compatible mappings satisfying an implicite relation, Demonstratio Math. 32 (1999), 157-163.
  • Popa V., Mocanu M., A new viewpoint in the study of fixed points for mappings satisfying a contractive condition of integral type, Bul. Inst. Politeh. Iasi, Sect. Mat. Mec. Teor. Fiz. 53 (2007), 269-272.
  • Popa V., Mocanu M., Altering distance and common fixed points under implicit relations, Hacettepe J. Math. Stat. 38 (2009), 329-337.
  • Rhoades B.E., Two fixed point theorems for mappings satisfying a general contractive condition of integral type, Intern. J. Math. Math. Sci. 15 (2005), 2359-2364.
  • Sastri K.P., Babu G.V.R., Fixed point theorems in metric spaces by altering distances, Bull. Calcutta Math. Soc. 90 (1998), 175-182.
  • Sastri K.P., Babu G.V.R., Some fixed point theorems by altering distances between points, Indian J. Pure Appl. Math. 30 (1999), 641-647.
  • Turkoglu D., Altun I., Fisher B., Common fixed point theorems for four mappings with some weak conditions of commutativity, Novi Sad J. Math. 30 (2006), 75-86.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171621328

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