English

FG- coupled fixed point theorems for various contractions in partially ordered metric spaces

General Topology 2016-10-04 v1

Abstract

In this paper we introduce FG- coupled fixed point, which is a generalization of coupled fixed point for nonlinear mappings in partially ordered complete metric spaces. We discuss existence and uniqueness theorems of FG- coupled fixed points for different contractive mappings. Our theorems generalizes the results of Gnana Bhaskar and Lakshmikantham [T. Gnana Bhaskar, V. Lakshmikantham; Fixed point theorems in partially ordered metric spaces and applications; Nonlinear Analysis 65 (2006) 1379 -1393].

Keywords

Cite

@article{arxiv.1602.00543,
  title  = {FG- coupled fixed point theorems for various contractions in partially ordered metric spaces},
  author = {Prajisha Eacha and Shaini Pulickakunnel},
  journal= {arXiv preprint arXiv:1602.00543},
  year   = {2016}
}

Comments

22 pages, no figures

R2 v1 2026-06-22T12:40:58.459Z