본문 바로가기
KERD
논문KCI 등재

Common fixed point point theorem for a pair of weakly compatible mappings on Banach spaces

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we prove a common fixed point theorem for noncompatible, discontinuous mappings on a Banach space. Our main theorem extends, improves, generalizes some known results on Banach spaces.

Abstract

In this paper, we prove a common fixed point theorem for noncompatible, discontinuous mappings on a Banach space. Our main theorem extends, improves, generalizes some known results on Banach spaces.

참고문헌 (16)

  1. Husain, S. A., "On common fixed points for a family of mappings", Bull. Austr. Math. Soc, 13, pp.261~267 (1975)
  2. Imdad, M., "On fixed points in uniformly convex Banach spaces", Mathematicae Notae-ANO, 31, pp.26~39 (1984)
  3. Jungck, G., "Compatible mappings and common fixed points", Internat. J. Math. Math. Sci, 9, pp.771~779 (1986)
  4. Jungck G., "Fixed point for set valued functions without continuity", Ind. J. Pure and Appl. Math, 29(3), pp.227~238 (1998)
  5. Khan, M. S., "Fixed point theorems for a class of mappings", Comm. Fac. Soc. Univ. Ankara Sci, 32 (1983)
  6. Pathak, H. K., "Common fixed point theorems with applications to nonlinear integral equations", Demonstratio Math, 32(3), pp.547~564 (1999)
  7. Pathak, H. K., "Fixed point theorems in metrically convex spaces and applications", J. Nonlinear Convex Anal, 4(2), pp.231~244 (2003)
  8. Pathak, H. K., "A common fixed point theorem and its application to non linear integral equation", Comp. Math. Appl, 53, pp.961~971 (2007)
  9. Rashwan, R. A., "A common fixed point theorem in uniformly convex Banach spaces", Italian J. Pure & Appl. Math, (3), pp.117~126 (1998)
  10. Sessa, S., "on a weak commutativity condition in fixed point considerations", Publ. Inst.Math. (Beograd), 46, pp.149~153 (1982)
  11. Shahzad, N., "Fixed points of biased mappings in complete metric spaces", Radovi Math, 11, pp.249~261 (2002)
  12. Sharma, Sushil, "A common fixed point theorem in uniformly convex Banach spaces", Italian J. Pure Appl. Math, 21, pp.121~128 (2007)
  13. Sharma, Sushil, "A common fixed point theorem in uniformly convex Banach spaces", Italian J. Pure Appl. Math, (23), pp.189~196 (2008)
  14. Jangheon Oh, "A note on the first layers of Z_{p}-extensions", 대한수학회논문집, 24(1), pp.1~4 (2009), 대한수학회
  15. Sharma, Sushil, "Common fixed point theorems for finite number of mappings without continuity and compatibility on intuitionistic fuzzy metric spaces", Chaos, Solitons & Fractals, 30, pp.1~17 (2007)
  16. Sushil Sharma, "COMMON FIXED POINT THEOREMS FOR FINITE NUMBER OF MAPPINGS WITHOUT CONTINUITY AND COMPATIBILITY IN MENGER SPACES", 순수 및 응용수학, 15(2), pp.135~151 (2008), 한국수학교육학회

관련 논문AI추천

이 간행물의 다른 논문 (9건)