Maia型定点结果通过c类函数实现

Pub Date : 2020-11-01 DOI:10.2478/ausm-2020-0015

A. H. Ansari, M. Khan, V. Rakočević

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引用次数: 1

摘要

1968年，M. G. Maia[16]对给定两个度量的集合X推广了Banach不动点定理。2014年，Ansari[2]引入了c类函数的概念，并推广了文献中的许多不动点定理。本文利用c类函数证明了具有二元关系的两个度量空间上的一些Maia型不动点结果。我们的结果推广和推广了具有二元关系的度量空间中关于广义压缩和拟压缩映射的许多现有不动点定理。

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Maia type fixed point results via C-class function

Abstract In 1968, M. G. Maia [16] generalized Banach’s fixed point theorem for a set X endowed with two metrics. In 2014, Ansari [2]introduced the concept of C-class functions and generalized many fixed point theorems in the literature. In this paper, we prove some Maia’s type fixed point results via C-class function in the setting of two metrics space endowed with a binary relation. Our results, generalized and extended many existing fixed point theorems, for generalized contractive and quasi-contractive mappings, in a metric space endowed with binary relation.

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