Coupled fixed point theorems in partially ordered metric spaces via mixed g-monotone property

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作者
Bipan Hazarika
Reza Arab
Poom Kumam
机构
[1] Rajiv Gandhi University,Department of Mathematics
[2] Gauhati University,Department of Mathematics
[3] Islamic Azad University,Department of Mathematics, Sari Branch
[4] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science
[5] King Mongkut’s University of Technology Thonburi (KMUTT),KMUTT
关键词
Coupled coincidence point; coupled common fixed point; mixed ; -monotone property; partially ordered set; measure of noncompactness; 47H10; 54H25;
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摘要
In this paper we study some coupled fixed point theorems and coupled coincidence fixed point theorems for infinite family mappings satisfying different contractive conditions on the complete partially ordered metric space with the help of concept of mixed g-monotone property. Further we used generalized Darbo type coupled fixed point theorem to find the existence of solutions for a system of nonlinear functional integral equations in Banach space with the help of measure of noncompactness.
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