Existence and Approximation of Fixed Points of Enriched φ-Contractions in Banach Spaces

被引：2

作者：

Berinde, Vasile ^{[1
,2
]}

Harjani, Jackie ^{[3
]}

Sadarangani, Kishin ^{[3
]}

机构：

[1] Tech Univ Baia Mare, North Univ Ctr Baia Mare, Dept Math & Comp Sci, Baia Mare 430122, Romania

[2] Acad Romanian Scientists, Bucharest 010071, Romania

[3] Univ Las Palmas Gran Canaria, Dept Math, Las Palmas Gran Canaria 35017, Spain

来源：

MATHEMATICS | 2022年 / 10卷 / 21期

关键词：

Banach space; enriched phi-contraction; enriched cyclic phi-contraction; fixed point; Maia type fixed point theorem; (p; q)-difference equation; integral boundary value condition; NONEXPANSIVE-MAPPINGS; METRIC-SPACES; THEOREMS;

D O I：

10.3390/math10214138

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the class of enriched phi-contractions in Banach spaces as a natural generalization of phi-contractions and study the existence and approximation of the fixed points of mappings in this new class, which is shown to be an unsaturated class of mappings in the setting of a Banach space. We illustrated the usefulness of our fixed point results by studying the existence and uniqueness of the solutions of some second order (p, q)-difference equations with integral boundary value conditions.

引用

页数：16

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Berinde, Vasile ;

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ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2022, 30 (03) :37-50

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Berinde, Vasile ;

Pacurar, Madalina .

CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (03) :523-538

[10] Maia type fixed point theorems for some classes of enriched contractive mappings in Banach spaces [J].

Berinde, Vasile .

CARPATHIAN JOURNAL OF MATHEMATICS, 2022, 38 (01) :35-46

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