COINCIDENCE AND COMMON FIXED POINTS OF WEAKLY RECIPROCALLY CONTINUOUS AND COMPATIBLE HYBRID MAPPINGS VIA AN IMPLICIT RELATION AND AN APPLICATION | Zendy

Surjeet Singh Chauhan | Zendy; Mohammad Imdad | Zendy; Zoran Kadelburg | Zendy; Calogero Vetro | Zendy

Open Access

COINCIDENCE AND COMMON FIXED POINTS OF WEAKLY RECIPROCALLY CONTINUOUS AND COMPATIBLE HYBRID MAPPINGS VIA AN IMPLICIT RELATION AND AN APPLICATION

Author(s) -

Surjeet Singh Chauhan,

Mohammad Imdad,

Zoran Kadelburg,

Calogero Vetro

Publication year - 2015

Publication title -

sarajevo journal of mathematics

Language(s) - English

Resource type - Journals

eISSN - 2233-1964

pISSN - 1840-0655

DOI - 10.5644/sjm.11.1.06

Subject(s) - mathematics , coincidence , relation (database) , pure mathematics , coincidence point , algebra over a field , fixed point theorem , computer science , data mining , medicine , alternative medicine , pathology

Using the hybrid version of the notion of weakly reciprocal continuous mappings due to Gairola et al. [Coincidence and fixed point for weakly reciprocally continuous single-valued and multi-valued maps, Demonstratio Math. (2013/2014), accepted], we prove a coincidence and common fixed point theorem for a hybrid pair of compatible mappings via an implicit relation. Our main result improves and generalizes a host of previously known theorems. As an application, we give a homotopy theorem which supports our main result

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research