G-度量空間中Altman積分型映象的幾個(gè)新的公共不動(dòng)點(diǎn)定理

葉洪清,谷峰

(杭州師范大學(xué)應(yīng)用數(shù)學(xué)研究所/杭州師范大學(xué)數(shù)學(xué)系,杭州 浙江 310036)

G-度量空間中Altman積分型映象的幾個(gè)新的公共不動(dòng)點(diǎn)定理

葉洪清,谷峰

(杭州師范大學(xué)應(yīng)用數(shù)學(xué)研究所/杭州師范大學(xué)數(shù)學(xué)系,杭州 浙江 310036)

在完備G-度量空間的框架下,利用R-弱交換映象的概念,證明了兩對(duì)R-弱交換A ltman積分型自映象的一個(gè)新的公共不動(dòng)點(diǎn)定理,并給出了結(jié)論的有效性實(shí)例.所得的結(jié)果不同于已有文獻(xiàn)中的已知結(jié)果.

A ltman積分型映象;對(duì)稱G-度量空間;R-弱交換自映象;公共不動(dòng)點(diǎn)

1 引言和預(yù)備知識(shí)

2 主要結(jié)果

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Several new comm on fi xed poin t theorem s for A ltm an in tegral type m app ings in G-m etric space

Ye Hongqing,Gu Feng
(Institute of App lied M athem atics and Departm ent of M athem atics, Hangzhou Norm al University,Hangzhou 310036,China)

The concept of R-weakly commuting mappings was used for proving a new common fixed point theorem for two pairs of R-weakly commuting A ltm an integral type self-m appings in com p lete G-m etric space. An exam p le is p rovided to support our result.The results obtained in this paper diff er from the recent relative resu lts in literature.

A ltm an integral typem appings,symm etric G-m etric space,R-weakly commuting self-m appings, comm on fixed point

O177.91

A

1008-5513(2012)06-0845-08

2011-12-05.

國家自然科學(xué)基金(10671155);浙江省自然科學(xué)基金(Y 6110287,Y 12A 010095).

葉洪清(1987-),碩士研究生,研究方向：非線性泛函分析.

谷峰(1960-),教授,研究方向：非線性泛函分析及應(yīng)用研究.

2010 M SC:47H10,54H25