본문 바로가기
KERD
논문KCI 등재

ON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS OF FENG-LIU TYPE

Ishak Altun|Gülhan Minak
대한수학회 (The Korean Mathematical Society)|2015.11|대한수학회보 (Bulletin of the KMS)|제52권 제6호|pp. 1901-1910

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

fixed pointcomplete metric spaceθ-contractionmultivalued mappings
주제분류수학

초록

In the present paper, considering the Jleli and Samet’s technique we give many fixed point results for multivalued mappings on complete metric spaces without using the Pompeiu-Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu’s result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.

Abstract

In the present paper, considering the Jleli and Samet’s technique we give many fixed point results for multivalued mappings on complete metric spaces without using the Pompeiu-Hausdorff metric. Our results are real generalization of some related fixed point theorems including the famous Feng and Liu’s result in the literature. We also give some examples to both illustrate and show that our results are proper generalizations of the mentioned theorems.

참고문헌 (18)

  1. R. P. Agarwal, "Fixed Point Theory for Lipschitzian-Type Mappings with Applications" (2009), Springer
  2. I. Altun, "Multivalued F-contractions on complete metric space", J. Nonlinear Convex Anal, 16(4), pp.659~666 (2015)
  3. M. Berinde, "On a general class of multi-valued weakly Picard mappings", J. Math. Anal. Appl, 326(2), pp.772~782 (2007)
  4. V. Berinde, "The role of the Pompeiu-Hausdorff metric in fixed point theory", Creat. Math. Inform, 22(2), pp.35~42 (2013)
  5. Lj. B. ´Ciri´c, "Multi-valued nonlinear contraction mappings", Nonlinear Anal, 71(7-8), pp.2716~2723 (2009)
  6. Lj. B. ´Ciri´c, "Common fixed point theorems for multi-valued nonself mappings", Publ. Math. Debrecen, 60(3-4), pp.359~371 (2002)
  7. P. Z. Daffer, "Fixed points of generalized contractive multivalued map-pings", J. Math. Anal. Appl, 192(2), pp.655~666 (1995)
  8. Y. Feng, "Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings", J. Math. Anal. Appl, 317(1), pp.103~112 (2006)
  9. V. I. Istr˘at¸escu, "Fixed Point Theory" (1981), D. Reidel Publishing Company
  10. M. Jleli, "A new generalization of the Banach contraction principle", J. Inequal. Appl, 2014(38), pp.8~ (2014)
  11. T. Kamran, "Fixed point theorems for multi-valued mappings obtained by altering distances", Math. Comput. Modelling, 54(11-12), pp.2772~2777 (2011)
  12. D. Klim, "Fixed point theorems for set-valued contractions in complete metric spaces", J. Math. Anal. Appl, 334(1), pp.132~139 (2007)
  13. G. Mınak, "A new class of multivalued weakly Picard oper-ators", Miskolc Mathematical Notes
  14. N. Mizoguchi, "Fixed point theorems for multivalued mappings on complete metric spaces", J. Math. Anal. Appl, 141(1), pp.177~188 (1989)
  15. S. B. Nadler, "Multi-valued contraction mappings", Pacific J. Math, 30, pp.475~488 (1969)
  16. S. Reich, "Fixed points of contractive functions", Boll. Un. Mat. Ital, 4(5), pp.26~42 (1972)
  17. S. Reich, "Some problems and results in fixed point theory, Topological methods in non-linear functional analysis (Toronto, Ont., 1982)", Contemp. Math, 21, pp.179~187 (1983), Amer. Math. Soc
  18. T. Suzuki, "Mizoguchi-Takahashi’s fixed point theorem is a real generalization of Nadler’s", J. Math. Anal. Appl, 340(1), pp.752~755 (2008)

관련 논문AI추천

GENERALIZED Fδ− CONTRACTIONS AND MULTIVALUED COMMON FIXED POINT THEOREMASHIMA KANWAR, NAVEEN MANI, REETA BHARDWAJ, VISHAL GUPTA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제4호Some Fixed Point Theorems for Multivalued Maps Satisfying an Implicit Relation on Metrically Convex SpacesDuran Turkoglu, Ishak Altun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제3호EXISTENCE OF FIXED POINTS OF SET-VALUED MAPPINGS IN b-METRIC SPACESErdal Karapnar, Hassen Aydi, Hojjat Afshari영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호Common Fixed Point Theorems for Suzuki Type Mappings강미광, 김승현영남수학회 · East Asian Mathematical Journal2025 · 제41권 제5호Common fixed point for generalized multivalued mappings via simulation function in metric spacesSwati Anta, U. C. Gairola대한수학회 · 대한수학회논문집2020 · 제35권 제4호Two Subrahmanyam Type of Common Fixed Point Theorems in Complete Metric Spaces강미광, 김승현한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제1호

이 간행물의 다른 논문 (21건)

A GENERALIZED ADDITIVE-QUARTIC FUNCTIONAL EQUATION AND ITS STABILITYCharinthip Hengkrawit, Anurak Thanyacharoenpp. 1759-1776ON THE LOWER SEMICONTINUITY OF THE SOLUTION SETS FOR PARAMETRIC GENERALIZED VECTOR MIXED QUASIVARIATIONAL INEQUALITY PROBLEMSNguyen Van Hungpp. 1777-1795DISCRETE MEASURES WITH DENSE JUMPS INDUCED BY STURMIAN DIRICHLET SERIES권도용pp. 1797-1803ON CERTAIN GENERALIZED q-INTEGRAL OPERATORS OF ANALYTIC FUNCTIONSKuppathai Appasamy Selvakumaran, Sunil Dutt Purohitpp. 1805-1818ON A MULTI-PARAMETRIC GENERALIZATION OF THE UNIFORM ZERO-TWO LAW IN L1-SPACESFarrukh Mukhamedovpp. 1819-1826
원문 보기