Keywords: Bimetric space Fixed point Coincidence point Two-point boundary value problem a b s t r a c t In this paper, we introduce a generalized contraction of Krasnoselskii-type using auxiliary functions, and obtained some sufficient conditions for existence and uniqueness of fixed point for such mappings on bimetric spaces. We also establish a result on coincidence point of two mappings, and...

The focus of this research article is to investigate the notion fuzzy extended hexagonal b-metric spaces as a technique broadening rectangular and well derive Banach fixed point theorem several novel theorems with certain contraction mappings. analog inequality in specified follows utilizing function b(c,d): mhc,d,t+s+u+v+w?mhc,e,tb(c,d)?mhe,f,sb(c,d)?mhf,g,ub(c,d)?mhg,k,vb(c,d)?mhk,d,wb(c,d) f...

Received: December 21, 2010 Accepted: January 7, 2011 doi:10.5539/jmr.v3n2p151 Abstract In this paper, we study fixed point theorems for multi-valued weak contractions. We show that the Picard projection iteration converges to a fixed point, give a rate of convergence and generalize Collage theorem. This work includes results on multi-valued contraction mappings studied by (Kunze, H.E., La Torr...

In this paper, we present fixed point theorems for contraction mappings in a generalization of an extended $b$-metric space where the product Lipschitz constant and functions underlying limit are bounded by one sequences orbit. Futhermore, prove results which involves $b$-comparison functions.

The intention of this script is to construct and obtain some new results for common coupled fixed points in b-metric space a pair mappings satisfying rational type contraction. present extend, modify, generalize the existing literature. are verified with help suitable examples.

In this paper, we find the best proximity point in G-metric spaces for G-generalized ζ-β-T contraction mappings and verify existence uniqueness of complete G metric space using idea an approximatively compact set. addition, example is provided to illustrate outcome.

Results on common fixed points for pairs of single and multivalued mappings on a complete metric space are examined. Our work establishes a common fixed point theorem for a pair of generalized contraction self-maps and a pair of set-valued mappings.