Common fixed points of conditionally commuting mappings satisfying weaker continuity conditions

• Autorzy: Bisht R K
• Języki publikacji: EN

Abstrakty

EN

The aim of the present paper is to obtain some new common fixed point theorems for a pair of Lipschitzian type selfmappings satisfying a minimal commutativity and weaker continuity conditions. In the setting of our results we establish a situation in which a pair of mappings may possess common fixed points as well as coincidence points which may not be common fixed points. Our results generalize several fixed point theorems.

Słowa kluczowe

EN

commuting maps; conditional reciprocal continuity; weak reciprocal continuity; absorbing maps; fixed point theorems

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2012
• Tom: Nr 49
• Strony: 33--41
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Bisht R K

• Department of Mathematics D.S.B. Campus, Kumaun University Nainital, 263002, India

Bibliografia

• [1] Aamri A., El-Moutawakil D., Some new common fixed point theorems under strict contractive conditions, J. Math. Anal. Appl., 270(2002), 181-188.
• [2] Jungck G., Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9(1986), 771-779.
• [3] Gopal D., Pant R.P., Ranadiye A.S., Common fixed points of absorbing maps, Bulletin of the Marathwada Math. Soc., 9(1)(2008), 43-48.
• [4] Pant R.P., Common fixed points of four mappings, Bull. Cal. Math. Soc., 90(1998), 281-286.
• [5] Pant R.P., A common fixed point theorem under a new condition, Indian J. Pure Appl. Math., 30(2)(1999), 147-152.
• [6] Pant R.P., Discontinuity and fixed points, J. Math. Anal. Appl., 240(1999), 284-289.
• [7] Pant R.P., Common fixed points of Lipschitz type mapping pairs, J. Math. Anal. Appl., 240(1999), 280-283.
• [8] Pant R.P., Bisht R.K., Arora D., Weak reciprocal continuity and fixed point theorems, Ann. Univ. Ferrara, 57(1)(2011), 181-190.
• [9] Pant R.P., Bisht R.K., Common fixed point theorems under a new continuity condition, Ann. Univ. Ferrara, (submitted in revised form).
• [10] Pant V., Pant R.P., Common fixed points of conditionally commuting maps, Fixed Point Theory, 11(1)(2010), 113-118.
• [11] Sessa S., On a weak commutativity condition in fixed point considerations, Publ. Inst. Math. (Beograd) (NS), 34(46)(1982) 149-153.