Fixed point results for generalized (α,ψ)-Meir-Keeler contractive mappings and applications

被引：0
作者：
Abdul Latif
Madjid Eshaghi Gordji
Erdal Karapınar
Wutiphol Sintunavarat
机构：
[1] King Abdulaziz University,Department of Mathematics
[2] Semnan University,Department of Mathematics
[3] Semnan University,Center of Excellence in Nonlinear Analysis and Applications (CENAA)
[4] Atilim University,Department of Mathematics
[5] Thammasat University Rangsit Center,Department of Mathematics and Statistics, Faculty of Science and Technology
来源：
Journal of Inequalities and Applications | / 2014卷
关键词：
-admissible mapping; binary relation; generalized ; -Meir-Keeler contractive mapping;
D O I：
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摘要：
In this paper, we introduce a new type of a generalized-(α,ψ)-Meir-Keeler contractive mapping and establish some interesting theorems on the existence of fixed points for such mappings via admissible mappings. Applying our results, we derive fixed point theorems in ordinary metric spaces and metric spaces endowed with an arbitrary binary relation.
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  • [1] Meir A(1969)A theorem on contraction mappings J. Math. Anal. Appl 28 326-329
  • [2] Keeler E(1978)Generalizations of two fixed point theorems Bull. Calcutta Math. Soc 70 57-61
  • [3] Maiti M(1981)Meir-Keeler type contractive conditions Math. Jpn 26 13-20
  • [4] Pal TK(2013)Best proximity points for asymptotic proximal pointwise weaker Meir-Keeler-type J. Egypt. Math. Soc 21 87-90
  • [5] Park S(2012)-contraction mappings Nonlinear Anal 75 2154-2165
  • [6] Rhoades BE(2010)Fixed point theorem for Nonlinear Anal 72 4508-4517
  • [7] Mongkolkeha C(undefined)- undefined undefined undefined-undefined
  • [8] Kumam P(undefined) contractive type mappings undefined undefined undefined-undefined
  • [9] Samet B(undefined)Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces undefined undefined undefined-undefined
  • [10] Vetro C(undefined)undefined undefined undefined undefined-undefined
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