Weakly compatible maps in complex valued metric spaces and an application to solve Urysohn integral equation | Zendy

Manoj Kumar | Zendy; Pankaj Kumar | Zendy; Sanjay Kumar | Zendy; Serkan Aracı | Zendy

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Weakly compatible maps in complex valued metric spaces and an application to solve Urysohn integral equation

Author(s) -

Manoj Kumar,

Pankaj Kumar,

Sanjay Kumar,

Serkan Aracı

Publication year - 2016

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1610695k

Subject(s) - mathematics , metric space , fixed point theorem , pure mathematics , fixed point , discrete mathematics , combinatorics , mathematical analysis

In this paper, we prove common fixed point theorems for a pair of mappings satisfying rational inequality. Also, we prove common fixed point theorems for weakly compatible maps, weakly compatible along with (CLR) and E. A. properties that generalizes the results of Sintunavarat et. al. [6]. Further, we apply our results to find the solution of Urysohn integral equations x(t) = + g(t), x(t) = + h(t), where t [a, b] , x, g, h X and K 1 , K 2 : [a, b] × [a, b] × → .

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